Mira kitchen sink holds up to 103. 468 liters of water what is 103. 468 rounded to the nearest liter?

Answers

Answer 1

When rounded to the nearest liter, 103.468 liters would be rounded to 103 liters.

When rounding a number to the nearest liter, we consider the decimal part of the number. In this case, the number is 103.468 liters. The decimal part is 0.468.

To determine whether to round up or down, we compare the decimal part to 0.5. If the decimal part is 0.5 or greater, we round up. If it is less than 0.5, we round down.

In this case, the decimal part 0.468 is less than 0.5. Therefore, we round down to the nearest whole number, which is 103. Thus, 103.468 liters rounded to the nearest liter is 103 liters.

To learn more about  number Click Here: brainly.com/question/3589540

#SPJ11


Related Questions

The runs scored by 10 players in a cricket match are :​


26,33,47,108,0,6,73,85,54,18. Find the median of the data.​

Answers

To find the median of the given data, we need to arrange the data in ascending or descending order.

Then, the median is the middle value of the arranged data.For the given runs scored by 10 players in a cricket match, the arranged data in ascending order is 0, 6, 18, 26, 33, 47, 54, 73, 85, 108.The number of observations is even, so the median is the average of two middle values.The middle values are 33 and 47.The median is, Median = (33 + 47)/2 = 80/2 = 40.Hence, the median of the given data is 40.

Considering the definition of median, the median is 40.

Definition of median

The median is the middle value of all the data in order from least to greatest. That is, the median divides the entire ordered data set into two equal parts.

The calculation of the median depends on whether the total number of data is even or odd:

If the total number of data items is odd, the median will be the value that is right in the middle of the data.If the total number of data is even, the median will be the mean of the two data that are in the center, that is, the arithmetic mean or average of the two central values of the ordered data.

Median of the data in this case

In this case, the data is:

26,33,47,108,0,6,73,85,54,18

Sorting the data from smallest to largest:

0, 6, 18, 26, 33, 47, 54, 73, 85, 108

The total number of data is even (10 numbers). So the median is calculated as the arithmetic mean or average of the two central values of the ordered data:

Median= (33 +47)÷2

Solving:

Median= 40

Finally, the median is 40.

Learn more about median:

https://brainly.com/question/30759854

#SPJ4

Is this statement true or false? p = 2 is a solution to p−5<20 plsssss help it a unit teast t or f

Answers

The statement is true. The value p = 2 is a solution to the inequality p - 5 < 20.

To determine if a given value is a solution to an inequality, we substitute that value into the inequality and check if it holds true. In this case, we substitute p = 2 into the inequality p - 5 < 20:

2 - 5 < 20

-3 < 20

Since -3 is indeed less than 20, the inequality holds true when p = 2. Therefore, p = 2 is a valid solution to the inequality p - 5 < 20.

It is important to note that there may be other values of p that also satisfy the inequality. However, the question specifically asks if p = 2 is a solution, and based on the substitution and evaluation, it is true that p = 2 satisfies the inequality.

Learn more about  inequality here :

https://brainly.com/question/20383699

#SPJ11

For questions 1 - 5, identify the conic section from its equation. 100 points!

Answers

Equation: x^2 + 4y^2 = 16

Conic Section: Ellipse

The equation represents an ellipse because both the x and y terms are squared with positive coefficients, indicating a horizontally stretched ellipse centered at the origin.

Equation: 3x^2 - 2y^2 = 12

Conic Section: Hyperbola

The equation describes a hyperbola because the x term is squared with a positive coefficient while the y term is squared with a negative coefficient.

Equation: y = 2x^2 + 4x + 3

Conic Section: Parabola

The equation represents a parabola because it is a quadratic equation in the form of y = ax^2 + bx + c, where a ≠ 0. The positive coefficient of the x^2 term indicates an upward-opening parabola.

Equation: x^2 - 9y^2 = 36

Conic Section: Hyperbola

The equation represents a hyperbola because the x term is squared with a positive coefficient while the y term is squared with a negative coefficient.

Equation: y = 6

Conic Section: Line (Degenerate case)

The equation represents a degenerate conic section, specifically a line, because there are no squared terms involved, resulting in a straight line parallel to the x-axis with a constant y-value of 6.

Learn more about Hyperbola here:

https://brainly.com/question/19989302

#SPJ11

Grantsville's governor received 3 times as many votes as Cary's governor. Cary's governor received 790 votes. How many people voted altogether?

Answers

The total number of people who voted altogether is 3160.

if cary's governor received 790 votes and grantsville's governor received three times as many votes, we can calculate the total number of votes cast by adding the votes received by both governors.

let's denote the number of votes received by grantsville's governor as g. since grantsville's governor received three times as many votes as cary's governor, we can express this as:

g = 3 * 790

calculating this:

g = 2370

so, grantsville's governor received 2370 votes.

to find the total number of votes, we add the votes received by both governors:

total votes = votes for cary's governor + votes for grantsville's governor

total votes = 790 + 2370

total votes = 3160

Learn more about denote  here:

 https://brainly.com/question/28911152

#SPJ11

What number comes next in the sequence of 6 1 8 4 2 7

Answers

The next number in the sequence 6, 1, 8, 4, 2, 7 is 3.

To determine the pattern and find the next number in the sequence, we need to observe the given numbers and look for any consistent rule or pattern. Let's examine the given sequence:

6, 1, 8, 4, 2, 7

Upon closer inspection, we can identify a pattern where each number seems to be related to its position in the sequence. Specifically, the first number (6) corresponds to the 1st position, the second number (1) corresponds to the 2nd position, the third number (8) corresponds to the 3rd position, and so on.

By applying this pattern, we can determine that the next number should correspond to the 6th position. Since the sequence follows a repeating pattern with a length of 6, we can cycle back to the beginning. Therefore, the number in the 6th position is 3.

Hence, the next number in the sequence is 3.

To learn more about sequence click here: brainly.com/question/23857849

#SPJ11

A british gallon has a volume of 277.42 inches. How many litres are there in one gallon?

Answers

Answer:

The imperial gallon (also known as the UK gallon) is used in Commonwealth countries and some Caribbean states. It is equal to 4.54609 liters or 277.42 cubic inches.

so the answer is 4.54609 liters

Step-by-step explanation:

Jaclyn has $160 saved and earns $40 each month in allowance. Pedro has $980 saved and writes a check for $20 a month to pay his cable bill and he writes a check for $42.50 each month to pay his phone bill. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?

Answers

Answer:

To find out how long it will take before Jaclyn and Pedro have saved the same amount of money, we need to calculate the monthly savings for both of them.

Jaclyn earns $40 each month in allowance and saves the entire amount, so her monthly savings is $40.

Pedro's monthly savings can be calculated by subtracting his monthly expenses from his monthly allowance. Pedro writes a check for $20 for his cable bill and $42.50 for his phone bill each month. Therefore, his monthly expenses are $20 + $42.50 = $62.50.

Pedro earns $40 each month in allowance, so his monthly savings is $40 - $62.50 = -$22.50 (negative amount).

Since Pedro's monthly savings is negative, it means he is spending more than his allowance, and he won't be able to catch up with Jaclyn's savings. Therefore, they will never save the same amount of money.

In conclusion, Jaclyn and Pedro will not save the same amount of money, as Pedro's expenses exceed his assistance.

Phylea has a bag with 30 fireballs and 24 Dreldy ranchers for a party she wants to repackage the candy into smaller bags in once each bag to have the same number of fireballs and Jolly ranchers

Answers

Phylea can repackage the candy into smaller bags, each containing 6 fireballs and 6 Jolly Ranchers.

To repackage the candy into smaller bags with an equal number of fireballs and Jolly Ranchers, we need to find the greatest common divisor (GCD) of 30 and 24. The GCD represents the largest number that divides both 30 and 24 evenly.

The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 24 is 2 * 2 * 2 * 3. To find the GCD, we take the common factors with the lowest exponent: 2 * 3 = 6.

To learn more about prime factorization visit;

https://brainly.com/question/29763746

#SPJ11

Andrew needs to order a pool top covering for his above ground circular swimming pool. The swimming pool is 20 feet across. how large of a pool top does he need to order? round to the nearest tenth

Answers

Answer:

π(10²) = 100π = about 314.2 ft²

Write a fraction for each statement 2 copies of 1/6 is

Answers

The denominator remains the same, so multiplying 1/6 by 2 gives 2/6. But we can simplify this fraction further by dividing both the numerator and denominator by their highest common factor, which is 2. This gives us the simplest fraction 1/3 equivalent to 2 copies of 1/6.

To write a fraction for the given statement "2 copies of 1/6 is", we need to multiply the given fraction by 2. When we multiply a fraction by a whole number, we just multiply the numerator by that number. The denominator remains the same, as shown below:2 copies of 1/6= 2 × 1/6= 2/6or, 2/6 is the required fraction for the given statement.

We can simplify this fraction by dividing both the numerator and denominator by their highest common factor, which is 2. This gives us:2/6= 1/3Thus, 1/3 is the simplest fraction equivalent to 2 copies of 1/6. In more than 100 words, we can say that to write a fraction for the given statement "2 copies of 1/6 is", we have multiplied the given fraction by 2. As we know that when we multiply a fraction by a whole number, we just multiply the numerator by that number.

To know more about numerator visit:

https://brainly.com/question/7067665

#SPJ11

In a geometric sequence, a sub 4 = 54 and a sub 7 = 1,458. What is the 12th term?

Answers

Answer:

the 12th term of the geometric sequence is approximately 9,559,938.

Step-by-step explanation:

Given that a₄ = 54 and a₇ = 1,458, we can use these values to find the common ratio:

a₇ = a₄ * r³

1,458 = 54 * r³

r³ = 1,458 / 54

r³ ≈ 27

Taking the cube root of both sides:

r ≈ ∛27

r ≈ 3

Now that we have the common ratio (r = 3), we can find the 12th term using the formula for the nth term of a geometric sequence:

aₙ = a₁ * r^(n-1)

In this case, we have a₁ = 54, n = 12, and r = 3:

a₁₂ = 54 * 3^(12-1)

a₁₂ = 54 * 3^11

Calculating this expression:

a₁₂ = 54 * 177,147

a₁₂ ≈ 9,559,938.

Answer:

The 12th term is 354294

Step-by-step explanation:

A geometric sequence has the from,

f(n) = f(n-1)(r)

where r is the common ratio

in our case, f(4) = 54

and f(7) = 1458

we have to find f(12)

now, since f(4) = 54, then f(5) must be,

[tex]f(5) = r(f(4))\\so,\\f(5) = r(54)\\similarly,\\f(6) = r(f(5))\\but f(5) = r(54) \ so,\\f(6) = r(r(54))\\f(6) = r^{2} (54)\\finally, \\f(7) =rf(6)\\f(7)=r(r^{2} (54))\\but f(7) = 1458\\so\ we \ get\\1458=r^{3}(54)\\ == > \ 1458/54=r^{3}\\ 27=r^{3}\\so,\\r=3[/tex]

Hence we have found the ratio,

now we just keep going till we get to the 12th term

[tex]f(8) = 3(f(7))\\f(8) = 3(1458)\\f(8) = 4374\\f(9) = 3(4374)\\f(9) = 13122\\\\Similarly,f(10) = 39366\\f(11) = 118098\\f(12) = 354294[/tex]

Hence the 12th term is f(12) = 354294

or a sub 12 = 354294

Rosa and Gina launched their rockets at the same time. Gina's rocket flew x seconds. Rosa's rocket flew 2.5 seconds


longer than 1.5 times the number of seconds Gina's rocket flew. Which expression describes how long Rosa's rocket


flew?

Answers

To describe how long Rosa's rocket flew, we can use the given information that Rosa's rocket flew 2.5 seconds longer than 1.5 times the number of seconds Gina's rocket flew.

Let's denote the number of seconds Gina's rocket flew as x. According to the information given, Rosa's rocket flew 1.5 times the number of seconds Gina's rocket flew, which is 1.5x. Additionally, Rosa's rocket flew 2.5 seconds longer than that.

Therefore, the expression that describes how long Rosa's rocket flew is:

1.5x + 2.5

So Rosa's rocket flew for 1.5x + 2.5 seconds.

Learn more about rocket problem here:

https://brainly.com/question/29203675

#SPJ11

alex purchased a new car for $28000.the cars value depreciates 7.25% each year. what will be the value of the car 5 years after it is purchased

Answers

The value of the car 5 years after it is purchased will be approximately $18,844.45. To calculate the value of the car after 5 years, we need to apply the annual depreciation rate of 7.25% to the initial purchase price of $28,000.

Each year, the car's value decreases by 7.25% of its current value. To find the value after 5 years, we can use the formula for compound interest, where the initial value is $28,000, the annual interest rate is -7.25%, and the time period is 5 years. Using this formula, we can calculate the value of the car after 5 years to be approximately $18,844.45.

The car's value depreciates by 7.25% each year, which means that the car loses 7.25% of its value annually. This depreciation rate is applied to the current value of the car each year. In this case, the initial purchase price is $28,000. After the first year, the car's value will be 92.75% of $28,000, which is $25,930. After the second year, the car's value will be 92.75% of $25,930, and so on for each subsequent year. After 5 years, the car's value will be approximately $18,844.45, which is the result of applying the annual depreciation rate for each year.

Learn more about approximation here: brainly.com/question/29669607

#SPJ11

The two-way table shows poll results for the number of athletes and nonathletes who take the stairs or the elevator at work. Of the people polled, how many take the elevator? Enter your answer in the box. People Stairs Elevator Athletes 10 3 Nonathletes 7 16.

Answers

The total number of people who take the elevator is 19.

Based on the given two-way table, the number of people who take the elevator is found in the "Elevator" column, which includes both athletes and non-athletes.

Looking at the "Elevator" column, we can see that the number of athletes who take the elevator is 3, and the number of non-athletes who take the elevator is 16.

To find the total number of people who take the elevator, we add the number of athletes and non-athletes who take the elevator:

3 (athletes) + 16 (non-athletes) = 19

To learn more about elevator visit;

https://brainly.com/question/2076153

#SPJ11

Calculator A What is m/CDJ? (4x) (3x - 8) M Enter your answer in the box. ​

Answers

The expression m/CDJ is equal to (4x)(3x - 8). To simplify the expression m/CDJ, we need to substitute the value of CDJ with its equivalent expression. Based on the given information, CDJ is equal to (3x - 8).

To further simplify the expression, we multiply the numerator m by the factor in the denominator, which is (4x). This gives us (4x)m/(3x - 8).  Therefore, m/CDJ can be rewritten as m/(3x - 8). So, the simplified expression for m/CDJ is (4x)(3x - 8). The result is a product of the two factors, 4x and (3x - 8), and it represents the value of m/CDJ.

Learn more about product here: brainly.com/question/26260956

#SPJ11

If you add​ Natalie's age and​ Fred's age, the result is 46 . If you add​ Fred's age to 4 times​ Natalie's age, the result is 91 . Write and solve a system of equations to find how old Fred and Natalie are.

Answers

The ages are: Natalie is 15 years old and Fred is 31 years old.

Let's assign variables to represent Natalie's age (N) and Fred's age (F).

From the given information, we can create a system of equations:

Equation 1: N + F = 46  (The sum of Natalie's age and Fred's age is 46)

Equation 2: F + 4N = 91  (The sum of Fred's age and four times Natalie's age is 91)

To solve this system of equations, we can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From Equation 1, we can express F in terms of N:

F = 46 - N

Substituting this into Equation 2:

(46 - N) + 4N = 91

46 + 3N = 91

3N = 91 - 46

3N = 45

N = 45 / 3

N = 15

Now, substitute the value of N back into Equation 1 to find F:

15 + F = 46

F = 46 - 15

F = 31

Therefore, Natalie is 15 years old and Fred is 31 years old.

To know more about ages, refer here:

https://brainly.com/question/29963980

#SPJ4

The teacher realizes that a mistake was made and the student whose score was recorded as 49%

Answers

If the student's score was recorded as 49%, the solution to the mistake would be to correct the score to its accurate value.

To correct the mistake, the teacher needs to determine the actual score of the student. If the recorded score is 49%, it means the student received 49% of the total possible marks. The teacher should review the student's work and re-evaluate their performance to obtain the correct score. Once the correct score is determined, it should be recorded accurately in the student's records. This ensures that the student's academic progress is assessed and reported correctly.

To learn more about Calculation Of Score

brainly.com/question/30759870

#SPJ11

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 40t 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0. 2 s and 2. 7 s. Which solution can be eliminated and why? The solution –0. 2 s can be eliminated because time cannot be a negative value. The solution –0. 2 s can be eliminated because the pass was not thrown backward. The solution 2. 7 s can be eliminated because the pass was thrown backward. The solution 2. 7 s can be eliminated because a ball cannot be in the air for that long due to gravity.

Answers

The solution that can be eliminated is -0.2 s. The reason for eliminating this solution cannot be a negative value in this context. The height of football at t is modeled by quadratic equation h(t) = -16t^2 + 40t + 7,

When solving the equation h(t) = 0 to find the times when the height of the football is zero, we obtain two solutions: -0.2 s and 2.7 s (rounded to the nearest tenth). We need to determine which solution is valid and which one should be eliminated.

In this case, the solution -0.2 s can be eliminated because time cannot be negative. Time represents the duration after the ball is thrown, and it cannot go back in time before the throw occurred. Therefore, -0.2 s does not make sense in the context of this problem.

On the other hand, 2.7 s is a valid solution as it represents the time when the football reaches a height of zero during its trajectory. This solution indicates that after approximately 2.7 seconds, the football has landed or reached its lowest point in its flight path.Thus, the solution -0.2 s can be eliminated because time cannot be negative in this situation.

To learn more about quadratic equation click here : brainly.com/question/30098550

#SPJ11

Michael and Layla stand 21. 2 meters apart. From Michael’s position, the angle of elevation to the top of the Eiffel Tower is 40°. From Layla’s position, the angle of elevation to the top of the Eiffel Tower is 38. 5°. How many meters high is the Eiffel Tower? Round your answer to the nearest meter

Answers

The height of the Eiffel Tower is approximately 290 meters. Michael and Layla are standing 21.2 meters apart, and from their respective positions, The height of the Eiffel Tower is approximately 290 meters.

To explain further, let's consider the triangle formed by the base of the Eiffel Tower, Michael's position, and the top of the tower. In this triangle, the angle of elevation from Michael's position is 40°, and the opposite side is the height of the tower. Similarly, in the triangle formed by the base of the tower, Layla's position, and the top of the tower, the angle of elevation from Layla's position is 38.5°, and the opposite side is also the height of the tower.

Using trigonometric ratios, we can set up the following equations:

For Michael's triangle:

tan(40°) = height of the tower / 21.2

For Layla's triangle:

tan(38.5°) = height of the tower / 21.2

By solving these equations, we find that the height of the Eiffel Tower is approximately 290 meters.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ11

A catapult launches a pumpkin from the base of a hill. The hill


follows an incline with the height in meters, y, in terms of


horizontal distance in meters, x, given by the equation


y= 0.8x. The height of the pumpkin, as it is launched uphill,


is given by the function h(x) = -0.3.02 + 3.8x


What is the height, in meters, where the pumpkin lands on the


hill? Round to the nearest whole number if necessary.

Answers

The height where the pumpkin lands on the hill is approximately 13 meters.

The height where the pumpkin lands on the hill, we need to determine the point where the height of the hill (y) equals the height of the pumpkin (h(x)).

1. Equate the two height functions: Setting the equations y = 0.8x and h(x) = -0.3x^2 + 3.8x equal to each other allows us to find the x-value where the heights are equal.

  0.8x = -0.3x^2 + 3.8x

2. Simplify the equation: Rearrange the equation to form a quadratic equation.

  0 = -0.3x^2 + 3x - 3.8x

  0 = -0.3x^2 - 0.8x

3. Solve for x: To find the x-value where the heights are equal, solve the quadratic equation. The solutions will give the points where the pumpkin lands on the hill.

  Using a quadratic solver or factoring, we find that x = 0 and x ≈ 13.33.

4. Determine the height: Substituting the x-value into either the hill equation or the pumpkin equation gives us the height.

  Using the hill equation, y = 0.8(13.33) ≈ 10.67.

Therefore, the height where the pumpkin lands on the hill is approximately 13 meters (rounded to the nearest whole number).

Learn more about function  : brainly.com/question/28278690

#SPJ11

Anthony surveys a group of students at his school about whether they play a sport. This table shows the results broken down by gender. Are being a girl and playing sports independent events? Why or why not?

Answers

The table provided displays the results of Anthony's survey on whether students at his school play a sport, categorized by gender. The question at hand is whether being a girl and playing sports are independent events.

In order to determine if being a girl and playing sports are independent events, we need to understand the concept of independence in probability. Two events are considered independent if the occurrence of one event does not affect the probability of the other event happening.

Looking at the table, we can analyze the data for girls and boys separately. If the proportion of girls playing sports is consistent regardless of the total number of girls surveyed, then being a girl and playing sports can be considered independent events. However, if the proportion of girls playing sports varies depending on the total number of girls surveyed, then being a girl and playing sports are not independent events.

To determine the independence, we would need additional information about the total number of girls surveyed and the proportion of girls playing sports across different sample sizes. Without that information, we cannot definitively conclude whether being a girl and playing sports are independent events based solely on the provided table.

Learn more about probability here: https://brainly.com/question/31828911

#SPJ11

Reread pages 240-242. Which of Carol's thoughts and actions show she is naturally curious?
The story called Mr. Linden's Library​

Answers

In the story "Mr. Linden's Library," Carol's curiosity is evident as she eagerly explores the library, wonders about its contents, and immerses herself in books, showcasing her natural thirst for knowledge.



In the story "Mr. Linden's Library," Carol exhibits several thoughts and actions that demonstrate her natural curiosity. On pages 240-242, the following instances highlight her inquisitive nature:

1. Carol's initial interest: When Carol first hears about Mr. Linden's library, she becomes immediately curious and eager to explore it. Her excitement indicates her natural curiosity and desire for new knowledge.

2. Wondering about the library's contents: As Carol enters the library, she starts imagining what books might be present. She wonders about the possibilities and what mysteries the library might hold. This demonstrates her inquisitive mind, always seeking answers and new experiences.

3. Actively exploring the library: While inside, Carol actively explores the library, examining different shelves and titles. She is genuinely interested in the books and artifacts, indicating her natural curiosity and desire to discover and learn.

4. Delving into books: Carol dives into a book on Greek mythology and loses track of time, immersing herself in the fascinating stories. This action showcases her curiosity-driven passion for learning and her willingness to explore different subjects.

Overall, Carol's immediate interest, wondering about the library's contents, active exploration, and delving into books exemplify her natural curiosity throughout the mentioned pages of the story.

To learn more about initial interest click here

brainly.com/question/32406448

#SPJ11

The Computer Club at Highlands Middle School has 6 text th end text graders, 7 text th end text graders, and 8 text th end text graders among its 40 members. The probability model for choosing a club member is given.




Outcome 6 text th end text Grader 7 text th end text Grader 8 text th end text Grader

Probability 9 over 40 14 over 40 17 over 40



If a club member is chosen at random, what is the probability that he or she will NOT be a 7 text th end text grader?

Answers

The probability that a randomly chosen club member will not be a 7th grader is 13/20.

To find the probability that a randomly chosen club member will not be a 7th grader, we need to consider the probability of selecting any member other than a 7th grader from the given probability model.

Given information:

There are 6 6th graders, 7 7th graders, and 8 8th graders among the 40 club members.

Probability of selecting a 6th grader: 9/40.

Probability of selecting a 7th grader: 14/40.

Probability of selecting an 8th grader: 17/40.

To find the probability of not selecting a 7th grader, we need to consider the complementary event, which is selecting either a 6th grader or an 8th grader.

Calculate the probability of not selecting a 7th grader:

Probability = 1 - Probability of selecting a 7th grader.

Probability = 1 - 14/40.

Probability = 26/40.

Simplify the fraction, if necessary:

The probability can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case.

Probability = 13/20.

To learn more about probability click here:

brainly.com/question/30034780

#SPJ11

The Bronx Zoo has a number of 4-legged mammals and 2-legged birds. Maggie visited the zoo and counted 200 animals that were either mammals or birds. Among these animals she counted a total of 522 legs. Write an algebraic equation that can be used to solve for the number of birds, and then solve the equation.

Answers

The number of birds at the Bronx Zoo is 139. There are 139 birds at the Bronx Zoo, based on the information provided by Maggie's animal count and leg count.

Let's use algebraic equations to solve for the number of birds at the Bronx Zoo.

Let's assume that the number of mammals is represented by the variable "m" and the number of birds is represented by the variable "b."

From the given information, we know that the total number of animals counted, whether mammals or birds, is 200. This can be expressed as:

m + b = 200 (Equation 1)

Additionally, we know that the total number of legs counted is 522. Mammals have 4 legs each, while birds have 2 legs each. Therefore, the total number of legs can be calculated as:

4m + 2b = 522 (Equation 2)

To solve this system of equations, we can use substitution or elimination method.

Let's solve using the elimination method:

Multiply Equation 1 by 2 to make the coefficients of "b" in both equations the same:

2m + 2b = 400 (Equation 3)

Now subtract Equation 3 from Equation 2:

4m + 2b - (2m + 2b) = 522 - 400

Simplifying:

2m = 122

Divide both sides by 2:

m = 61

Now substitute the value of "m" back into Equation 1 to solve for "b":

61 + b = 200

Subtract 61 from both sides:

b = 200 - 61

b = 139

Therefore, the number of birds at the Bronx Zoo is 139.

By solving the given algebraic equation, we determined that there are 139 birds at the Bronx Zoo, based on the information provided by Maggie's animal count and leg count.

Learn more about Bronx Zoo here

https://brainly.com/question/16620380

#SPJ11

Express the area of a square with side length 3xy2 as a monomial

Answers

The area of a square with side length 3xy^2 can be expressed as a monomial, which is 9x^2y^4.

The area of a square is calculated by multiplying the length of its side by itself. Given a side length of 3xy^2, we can express the area as a monomial by simplifying the expression. First, we square the side length: (3xy^2)^2. Applying the exponent to each term within the parentheses, we get 9x^2y^4. This monomial represents the area of the square with a side length of 3xy^2. It indicates that the area is the product of the coefficient, 9, and the variables raised to their respective exponents, x^2 and y^4. Therefore, the monomial expression for the area of the square is 9x^2y^4.

Learn more about simplifying algebraic expressions here: brainly.com/question/30200858

#SPJ11

2.1.5. Mr Mathebula says that more than 60% of the learners achieved above 25 out of 50. Verify whether his statement is correct. Clearly show your calculations. 2.2. (4)​

Answers

Mr Mathebula says that more than 60% of the learners achieved above 25 out of 50.  To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. In this case, 60.1% is not greater than 60%, so Mr. Mathebula's statement would be incorrect.

To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. Let's assume there are a total of 'n' learners in the class.

First, we need to determine the number of learners who scored above 25. Let's denote this as 'x'. Since the statement mentions that more than 60% of the learners achieved above 25, we can assume 'x' to be any number greater than 0.6n.

Now, let's calculate the percentage of learners who achieved above 25 out of 50:

Percentage = (x / n) * 100

Since we want to verify whether Mr. Mathebula's statement is correct, we need to determine if the calculated percentage is greater than 60%.

If we assume that 'x' is the lowest possible value of 0.6n + 1 (to satisfy the "more than 60%" condition), the percentage becomes:

Percentage = ((0.6n + 1) / n) * 100

Simplifying this expression:

Percentage = (0.6 + 1/n) * 100

Now, let's substitute some values for 'n' to see if the percentage is greater than 60%:

If we consider 'n' to be 100, the percentage becomes:

Percentage = (0.6 + 1/100) * 100 = 60.6%

Since 60.6% is greater than 60%, Mr. Mathebula's statement holds true for this scenario.

However, if we consider 'n' to be 1000, the percentage becomes:

Percentage = (0.6 + 1/1000) * 100 = 60.1%

For more such information on: percentage

https://brainly.com/question/24877689

#SPJ8

7. A rocket launched into the air reaches a height of 720 feet after 5 seconds. After 10 seconds, the rocket


lands. Let the x-axis be the ground and the y-axis be at the starting point of the rocket.


a.


Write an equation modeling the path of the rocket, where h is the height of the rocket and t is the


time in seconds after the rocket is launched.


I


H(t)=


b.


What was the height of the rocket 7 seconds after it was launched?


C.


How many seconds is the rocket in the air?

Answers

A rocket launched into the air reaches a height of 720 feet after 5 seconds. After 10 seconds, the rocket lands. Let the x-axis be the ground and the y-axis be at the starting point of the rocket. Equation modeling the path of the rocket where h is the height of the rocket and t is the time in seconds after the rocket is launched is:

a. H(t) = -16t² + vt + h

Where: H(t) = Height of rocket at time t (in feet)

h = Initial height (in feet) = 0

v = Initial velocity (in feet/sec) = 0

Gravity = 32 ft/s²

(Since the rocket is going upward)So the equation for the path of the rocket is:

H(t) = -16t² + 0t + 0

H(t) = -16t²b.

The height of the rocket 7 seconds after it was launched can be determined by using the formula derived above:

H(t) = -16t² + 0t + 0

H(7) = -16(7)²

= -784

b. The height of the rocket after 7 seconds of launch is 784 feet.

c. Time duration the rocket is in the air is given by the formula:

H(t) = -16t² + 0t + 0

We can determine the time at which the rocket lands by equating the height of the rocket to 0:

H(t) = -16t² + 0t + 0

= 0

To know more about Equation visit:

https://brainly.com/question/29657992

#SPJ11

Sarah wants to buy some fruit.She wants to buy3 oranges at 30p eachand 1/2 kg apples at £1.20 per kg.The only money Sarah has is one 50p coin and six 20p coins.She pays for the fruit.Work out how much money Sarah has left

Answers

Therefore, Sarah has 20p left after paying for the fruit.

Sarah wants to buy 3 oranges at 30p each, which totals to 3 x 30p = 90p. She also wants to buy 1/2 kg of apples at £1.20 per kg, which is 0.5 kg x £1.20/kg = 60p. In total, the cost of the fruit is 90p + 60p = 150p.

Sarah has one 50p coin and six 20p coins, which amounts to 50p + (6 x 20p) = 170p.

To find out how much money Sarah has left, we subtract the cost of the fruit from the total amount of money she has.

170p - 150p = 20p

Therefore, Sarah has 20p left after paying for the fruit.

Learn more about subtraction here:

https://brainly.com/question/13619104

#SPJ11

How do I know if the cost in dollars and the amount of something is proportional

Answers

To know if the cost in dollars and the amount of something is proportional, you need to find the unit rate for both. Here are the steps to find out Step 1: Write the given cost and amount as a ratio. For example, if the cost of 2 pounds of apples is $4.

Simplify the ratio by dividing both the cost and the amount by a common factor. For example, if you divide both the cost and the amount by 2: $$\frac{\$4}{2 \text{ pounds}} = \frac{\$2}{1 \text{ pound}}$$ Step 3: Compare the unit rates for both the cost and the amount.

If they are equal, then they are proportional. If they are not equal, then they are not proportional. For example, if the cost of 1 pound of apples is $2, write it as: $$\frac{\$2}{1 \text{ pound}}$$Then compare the unit rates: $$\frac{\$2}{1 \text{ pound}} \neq \frac{\$2}{1 \text{ pound}}$$ Since the unit rates are not equal, the cost and the amount are not proportional.

To know more about proportional visit :

https://brainly.com/question/31548894

#SPJ11

How do you advise school leavers on stress management techniques to deal with the psychologist impact of unemployment

Answers

To advise school leavers on stress management techniques to deal with the psychological impact of unemployment, it is essential to encourage self-care practices, maintain a positive mindset, seek support from others, develop new skills, and explore alternative opportunities.

1. Self-care practices: Emphasize the importance of self-care activities such as exercise, proper sleep, healthy eating, and engaging in hobbies or activities that bring joy and relaxation. These practices help reduce stress and promote overall well-being.

2. Positive mindset: Encourage school leavers to maintain a positive outlook by focusing on their strengths, setting realistic goals, and maintaining a sense of optimism. Remind them that unemployment is a temporary phase and that opportunities will arise in the future.

3. Seek support: Encourage school leavers to reach out to family, friends, or mentors for emotional support and guidance. Sharing their concerns and feelings with others can help alleviate stress and provide valuable perspectives.

4. Develop new skills: Suggest utilizing the free time to learn new skills or enhance existing ones. This could involve taking online courses, volunteering, or participating in community projects. Skill development increases confidence and expands future job prospects.

5. Explore alternative opportunities: Encourage school leavers to explore alternative paths such as entrepreneurship, freelancing, internships, or part-time work. Encouraging them to think creatively and consider different options can help them find fulfilling opportunities.

By adopting these stress management techniques, school leavers can proactively cope with the psychological impact of unemployment, maintain a positive mindset, and continue developing themselves for future opportunities.

To learn more about taking online courses click here: brainly.com/question/16732793

#SPJ11

Other Questions
Jonathan, the worlds oldest living land animal, is what?. A map has a scale of cm to 5 m. Two cities or 45 m away. How far apart are they on the map Tom hanks won his first academy award for which picture in 1993?. What is the concentration (M) of a NaCl solution prepared by dissolving 5.3 g of NaCl in sufficient water to give 115 mL of solution What plants cannot be grown in the luxuriant glebe in the serenitea pot?. What is the most reasonable explanation of why algae are unlikely to cause human illness and disease?They obtain their nutrition from the environment.They are not typically motile.Their cell wall is easily digested by humans.They are extremely susceptible to digestion by the normal human microbiota. How does the long-line free verse used by both Whitman and Ginsberg reflect their rebellious attitudes?. Mr. Kushner's class is selling candles for a class trip. There are 18 students in his class in all. 3 students sell 5 candles. The number of students who sell 6 candles is 2 more than the number who sell 5 candles. 3 students sell 8 candles. 1 student sells 12 candles. The rest of the students sell 9 candles. Part AThe students make a line plot named "Candles Sold. " Which of the following is a good scale for their line plot? Is this strategy effective for the recounting the story of the injustice done to the people of Malaga Island Find A5 for the geometric series in which S6 = 63 and the common ratio r = 2. According to Malcolm Gladwell, what are several of the blockages that prevent low-income youth from getting into the top colleges? How are exocrine glands different than endocrine glands. Select the correct answer. If there was a sale on toys, and a child picked up Brand B, how much discount would he get as per the below program? switch (d){ //d contains the brand label case "A": price = price * 0.65 //apply a 35 percent discount break; case "B": price = price * 0.75 break; case "C": price = price * 0.8 break; default: //if none of the cases above apply price = price * 0.9; // apply a 10 percent discount }A. 5B. 20C. 35D. 25E. 10 A group of 8 friends each buy 1 ticket and 1 small popcorn at the movie theater. Each ticket costs $7.50. The groupof friends spends a total of $83.60.Enter the cost of 1 small popcorn.tx1234567890US 10: Given a circle of radius 21cm correct to the nearest cm. What is the possible maximum error when calculating its area? Dante is on the swim team each day he swims 700m how many kilometers does he swim each day . Mallory took two trips to the pizzeria to purchase food for her party. On her first trip, she bought 5 pizza pies and 3 bottles of soda, which cost her $50.50 without tax. On her second trip, she bought 2 pizza pies and 6 bottles of soda, which cost her $31.00 without tax. How much did each pizza pie cost? In a science lab, a number of rock samples are weighed. If the scientist finds one of the rocks to weigh 3 pounds and this is 49. 3% of the total weight of all of the rocks, what is the weight of all of the rocks? If necessary, round your answer to the nearest tenth What was the brilliant political ploy Lincoln used in regard to Fort Sumter?A) Lincoln let the other states secede from the United States.B) Lincoln had his troops occupy Fort Sumter, which was part of South Carolina's territory, so South Carolina was forced to fire the first shot in the Civil War.C) Lincoln fired upon Fort Sumter at 4:30 am on April 12th, 1861D) Lincoln kept firing on Fort Sumter at 15-minute intervals for a day and a half Simplify and write the answer in exponential form (2^6 2^9)^5 x 2^-6