Proportional relationships refer to the relationship between two variables in which their ratio always remains constant. In the given case, we have two variables, y and x, and their respective ratios y = 5/6 and x = 3/4.
Therefore, we can determine their proportional relationship as follows:
$$y : x = \frac{5}{6} : \frac{3}{4} = \frac{5}{6} \cdot \frac{4}{3} = \frac{20}{18} = \frac{10}{9}$$
This implies that for every 10 units of y, there are 9 units of x, and their ratio remains constant throughout.
Hence, we can say that y and x have a proportional relationship with a constant ratio of 10:9.
The proportional relationship between two variables is a special type of linear relationship that describes how the variables are related to one another. It is a type of relationship in which the ratio of the two variables remains constant. In other words, as one variable increases or decreases, the other variable changes in proportion to maintain a constant ratio. For example, the relationship between distance and time is a proportional relationship because the ratio of distance to time is always constant. In this case, the constant ratio is the speed of the object traveling the distance over a given time interval.
In the given problem, the variables y and x have a proportional relationship, and their ratio is constant at 10:9. This means that for every 10 units of y, there are 9 units of x, and the ratio remains constant regardless of the values of y and x. This is because the values of y and x are in the same proportion as their respective numerators and denominators. Therefore, we can conclude that y and x have a proportional relationship with a constant ratio of 10:9.
Proportional relationships describe the relationship between two variables in which their ratio always remains constant. In this case, we have two variables, y and x, and their respective ratios y = 5/6 and x = 3/4. We found that y and x have a proportional relationship with a constant ratio of 10:9. This implies that for every 10 units of y, there are 9 units of x, and the ratio remains constant regardless of the values of y and x. Therefore, we can conclude that y and x have a proportional relationship with a constant ratio of 10:9.
To know more about proportional relationship visit:
brainly.com/question/17974503
#SPJ11
Her wealth, power, and ________ were the fuel that would propel him forward.
timidity
scarcity
ambition
inconvenience
The blank in the given statement "Her wealth, power, and ________ were the fuel that would propel him forward" is filled by the term "ambition."
What is scarcity?
Scarcity refers to the limited supply of something. When a resource is in short supply, it becomes scarce. Scarcity is a concept that is often used in economics to explain the situation of insufficient resources to meet demand. Scarcity is a fundamental economic issue, and it is a crucial factor in how markets operate. When there is scarcity, people must decide how to allocate resources based on their own needs and wants.
What is ambition?
Ambition refers to a strong desire to achieve something. Ambition is often characterized by a willingness to work hard, take risks, and overcome obstacles in pursuit of a goal. People who are ambitious are usually driven by a desire to succeed and achieve their full potential. Ambition is an important motivator that drives people to work hard and strive for success in all areas of life.In the given statement "Her wealth, power, and ambition were the fuel that would propel him forward," the term ambition means the strong desire to achieve something.
To know more about scarcity:
https://brainly.com/question/30280404
#SPJ11
Which equation represents this problem? Twelve dollars is divided equally among 4 people
The equation that represents the problem of dividing twelve dollars equally among four people is as follows:12 / 4 = 3The given problem of dividing twelve dollars equally among four people can be represented by the equation 12/4 = 3.
Here, 12 represents the total amount of money that is being divided and 4 represents the number of people among whom the money is being divided .In this problem, we divide the total amount of money by the number of people to find out how much money each person will get. As there are four people to divide the money among, we divide the total amount of $12 by 4 to get $3 as the share of each person. Therefore, the equation that represents this problem is 12/4 = 3.
Learn more about dividing here:
https://brainly.com/question/14758494
#SPJ11
heart rate (beats per minute)
l T
200
150
100
50
√
1
8
2
3
4
5
time (hours after noon)
Problem 5
X
6
The graph models Priya's heart rate before, during, and
after a run.
a. What was Priya's approximate heart rate before and
after the run?
b. About how high did Priya's heart rate get during the
run?
Submit
c. Sketch what the graph would look like if Priya went
for the run three hours later.
5
Given statement solution is :- a. Before the run, Priya's approximate heart rate can be estimated to be around 100 beats per minute.
b. To determine how high Priya's heart rate got during the run, we can look at the highest point on the graph.
c. If Priya went for the run three hours later, the general shape of the graph would likely remain the same, but it would be shifted to the right by three hours.
To answer the questions, let's analyze the given graph:
a. Before the run, Priya's approximate heart rate can be estimated to be around 100 beats per minute. After the run, her heart rate seems to have returned to approximately the same level of 100 beats per minute.
b. To determine how high Priya's heart rate got during the run, we can look at the highest point on the graph. Based on the given data points, it appears that her heart rate reached around 200 beats per minute during the run.
c. If Priya went for the run three hours later, the general shape of the graph would likely remain the same, but it would be shifted to the right by three hours. This means that the entire graph would be shifted horizontally to the right, including the points and the curve connecting them.
For such more questions on Heart Rate Analysis
https://brainly.com/question/15410333
#SPJ8
Louis drives a taxi cab. He records the total number of miles he travels each week for 15 weeks.
The mean and mean absolute deviation of the data are shown.
Mean: 3,642
Mean absolute deviation: 1,755
Problem
Select all the possible numbers of miles for day 16 that are within the mean absolute deviation.
The possible numbers of miles for day 16 that are within the mean absolute deviation are any values between 1,887 and 5,397 miles, including those two values.
To determine the possible numbers of miles for day 16 that are within the mean absolute deviation, we need to understand the concept of mean absolute deviation and its relationship to the data set.
Given information:
Mean: 3,642 miles.
Mean absolute deviation: 1,755 miles.
Mean absolute deviation (MAD) measures the average distance between each data point and the mean. It provides a measure of dispersion or spread of the data.
To find numbers of miles within the mean absolute deviation, we need to consider values that are within one MAD of the mean.
Calculate the lower and upper limits for day 16:
Lower limit: Mean - MAD = 3,642 - 1,755 = 1,887 miles.
Upper limit: Mean + MAD = 3,642 + 1,755 = 5,397 miles.
Any number of miles for day 16 within the range of 1,887 to 5,397 miles (inclusive) would be within the mean absolute deviation.
To learn more about mean absolute deviation click here:
brainly.com/question/32035745
#SPJ11
Braedyn notices that there are Twenty-One short shelves and 9 tall shelves how can the expression 21 a + 9 B help him find the total number of items on the shelves?
Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.
The expression 21a + 9b can help Braedyn find the total number of items on the shelves by representing the number of items on each type of shelf and then summing them together. Let's assume that 'a' represents the number of items on each short shelf and 'b' represents the number of items on each tall shelf.
The expression 21a represents the total number of items on all the short shelves, and the expression 9b represents the total number of items on all the tall shelves. To find the total number of items on all the shelves, we add the number of items on the short shelves to the number of items on the tall shelves: Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.
To learn more about expression, click here: brainly.com/question/29176690
#SPJ11
c. Write a piecewise function modeling the car’s elevation over time.
Type your response here:
d. Jacob wants to know the average rate of change of the car’s elevation with respect to time over the time interval [5, 7]. Use the piecewise function you wrote in part c to find this.
Type your response here:
e. Identify an interval over which you will get an average rate of change of elevation with a sign opposite to the one you just found. Justify your answer by solving for that interval.
Type your response here:
f. For the function (x > 10), consider the interval [a, b]. If the starting point of the interval, a, remains fixed and the endpoint, b, keeps extending, what eventually happens to the average rate of change of elevation with respect to time?
Type your response here:
The slope is negative. If we extend the interval [a, b], the average rate of change of the elevation with respect to time will remain constant and equal to -8.
The car's elevation over time is a piecewise function and is shown below:Let h(t) be the elevation of the car at time t. For 0 ≤ t ≤ 5, the function is given by:h(t) = 80t - 16t^2For 5 ≤ t ≤ 7, We have to use the piecewise function to calculate the average rate of change of the car's elevation with respect to time over the interval [5, 7].d.
We'll use the piecewise function below to solve this problem:For 0 ≤ t ≤ 5, the function is given by:h(t) = 80t - 16t^2For 5 ≤ t ≤ 7, the function is given by:h(t) = 5t + 254We'll first calculate the average rate of change of the car's elevation over [5, 7] with respect to time.Using the slope formula to calculate the average rate of change, we obtain:Average Rate of Change = (h(7) - h(5)) / (7 - 5)Note that h(7) = 289 and h(5) = 279.
To know more about slope visit:-
https://brainly.com/question/3605446
#SPJ11
A baseball organization is going to spend $4,590 to purchase all sweatshirts or all jackets for its players. Sweatshirts cost $34 each cost $54 each what is the greatest number of sweatshirts of jackets that the organization can purchase
The baseball organization can purchase a maximum of 135 sweatshirts or 85 jackets within their budget of $4,590.
To find the maximum number of sweatshirts or jackets, we divide the total budget by the cost per item.
Let's calculate the maximum number of sweatshirts the organization can purchase: 4590 / 34 = 135 sweatshirts.
Similarly, we can calculate the maximum number of jackets: 4590 / 54 = 85 jackets.
Since the organization wants to maximize the number of items they can purchase, they should choose the option with the greater quantity.
Therefore, the organization can purchase a maximum of 135 sweatshirts or 85 jackets within their budget of $4,590.
Learn more about Numbers click here :brainly.com/question/3589540
#SPJ11
3
Type the correct answer in the box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y= 700x + 200
y= 5,000 - 75x
Complete the matrix by filling
The coefficients of the variables and the constants. [tex]\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\][/tex].
To complete the matrix, we need to fill in the coefficients and constants from the given system of equations:
The given system of equations:
[tex]\[y &= 700x + 200 \\y &= 5000 - 75x\][/tex]
To complete the matrix, we'll organize the coefficients of the variables and the constants.
[tex]\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\][/tex]
In the matrix, the coefficients of the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex] are arranged in the first two columns, and the constants are in the third column.
To know more about constants visit-
brainly.com/question/30284339
#SPJ11
A triangle has two sides of lengths 7 and 9. What value could the length of
the third side be? Check all that apply.
☐A. 10
B. 2
C. 8
OD. 5
E. 13
OF. 22
which statement cannot be justified given only that triangle PBJ = traingle TIM
When it comes to geometry, it's vital to understand that a statement that cannot be justified using a given premise doesn't necessarily mean that the statement is false.
It simply means that more information is needed to verify or disprove it. Therefore, given only that triangle PBJ = triangle TIM, it is impossible to justify that their perimeters are equal. This statement cannot be justified using the given information alone.
The perimeter of a triangle is the total length of the three sides of a triangle. Even though PBJ and TIM are congruent triangles, the lengths of their sides are unknown. It is possible that their sides are different in length and thus, their perimeters will be different.
Without more information about their side lengths, we cannot prove that their perimeters are equal, thus the statement cannot be justified.
To know more about geometry visit:
https://brainly.com/question/31408211
#SPJ11
An acute triangle A B C has three heights AD, BE and CF respectively. Prove that the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.
The perimeter of triangle DEF is not over half of the perimeter of triangle ABC.This is proven below.
How to illustrate tej proofGiven: Triangle ABC is acute with heights AD, BE, and CF.
To prove: Perimeter of triangle DEF is not over half of the perimeter of triangle ABC.
1. Let the side lengths of triangle ABC be a, b, and c.
2. Then the lengths of the heights are h1 = a/2, h2 = b/2, and h3 = c/2.
3. The perimeter of triangle ABC is a + b + c.
4. The perimeter of triangle DEF is h1 + h2 + h3 = a/2 + b/2 + c/2.
5. 1/2 < 1, so a/2 + b/2 + c/2 < a + b + c.
6. Therefore, the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.
Learn more about triangles on
https://brainly.com/question/17335144
#SPJ4
Which could be used to solve this equation? 3 and one-fifth n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth n = 9 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 3 and one-fifth = 12 and one-fifth.
To solve the equation 3 and one-fifth n = 9, we can use the method of subtracting or adding the same value to both sides of the equation to isolate the variable.
In this case, we can subtract 3 and one-fifth from both sides or add 3 and one-fifth to both sides of the equation.
To solve the equation 3 and one-fifth n = 9, we can subtract 3 and one-fifth from both sides of the equation, which gives us:
3 and one-fifth n - 3 and one-fifth = 9 - 3 and one-fifth.
Simplifying the left side of the equation, we get:
n = 9 - 3 and one-fifth.
Alternatively, we can add 3 and one-fifth to both sides of the equation, which gives us:
3 and one-fifth n + 3 and one-fifth = 9 + 3 and one-fifth.
Simplifying the left side of the equation, we get:
n = 9 + 3 and one-fifth.
In either case, we have isolated the variable n and obtained the solution by either subtracting or adding the same value to both sides of the equation.
To learn more about variable click here:
brainly.com/question/15078630
#SPJ11
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out
The distance traveled can be written by the Circumference of the path is 31.42 m
It is known that circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
Given that penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20
Since the path is circular, the distance traveled can be written by taking the Circumference of the path :
Circumference, C = πd
d = diameter = 20 meters
C = 20π
Since penguins swam halfway around the island.
Hence, The distance traveled = 1/2 C
= 1/2 x 20π
= 31.42 m
Therefore, the correct answer is 31.42 m
Learn more about circumference here;
brainly.com/question/12512221
#SPJ4
15×5-3 +4÷7×3 when Charlie gets 20 apples divide the apples by the answer to the first problem
When Charlie gets 20 apples and divides them by the answer to the first problem, he will get 35/143 of an apple. Firstly, let's solve the expression 15×5-3 +4÷7×3. Using the order of operations, we do the multiplication and division first. 15×5 = 75 and 4÷7×3 = 12/7.
Firstly, let's solve the expression 15×5-3 +4÷7×3. Using the order of operations, we do the multiplication and division first. 15×5 = 75 and 4÷7×3 = 12/7
So, 15×5-3 +4÷7×3 = 75 - 3 + 12/7
Next, we simplify the fraction by finding a common denominator. The common denominator for 7 and 1 is 7, so we multiply the numerator and denominator of 12/7 by 1 to get: 12/7 × 1/1 = 12/7
Now, 75 - 3 + 12/7 = 572/7. Therefore, the answer to the first problem is 572/7. Now, Charlie has 20 apples. If he divides these apples by the answer to the first problem, he will get: 20 ÷ 572/7
We can solve this by multiplying the dividend by the reciprocal of the divisor. In other words, we multiply 20 by 7/572.20 ÷ 572/7 = 20 × 7/572 = 140/572
We can simplify this fraction by finding a common factor of the numerator and denominator. Both 140 and 572 are divisible by 4.140/572 = 35/143
So, when Charlie gets 20 apples and divides them by the answer to the first problem, he will get 35/143 of an apple.
To know more about common factor visit:
https://brainly.com/question/30961988
#SPJ11
How many total miles does Miguel need to ride on Saturday and Sunday to meet his goal?
15 and three-fifths miles
45 and one-fifth miles
62 and one-half miles
84 and two-fifths miles
Therefore, the closest answer choice to Miguel's goal is 30 miles is 15 miles on Saturday and 15 miles on Sunday.
In conclusion, Miguel needs to ride a total of 30 miles on Saturday and Sunday to meet his goal.
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
Miguel plans to ride 30 miles over the weekend, covering 15 miles on each day. In terms of fractions, 15 and three-fifths miles represents 15.6 miles, while 45 and one-fifth miles represents 45.2 miles, 62 and one-half miles represents 62.5 miles, and 84 and two-fifths miles represents 84.4 miles.
To know more about miles :
https://brainly.com/question/12665145
#SPJ11
If the lengths are represented by 4x+2 and 10x-1, what is the value of x
To find the value of x, we equate the two expressions for the lengths:
4x + 2 = 10x - 1
Simplifying the equation:
4x - 10x = -1 - 2
-6x = -3
Dividing both sides by -6:
x = -3 / -6
x = 1/2
Therefore, the value of x is 1/2.
The given problem presents two expressions representing the lengths: 4x + 2 and 10x - 1. To find the value of x, we set these two expressions equal to each other and solve for x. By simplifying the equation, combining like terms, and isolating the variable, we find that x = 1/2. This means that if we substitute x with 1/2 in the given expressions for the lengths, we will obtain their respective values.
Learn more about expressions here:
https://brainly.com/question/28170201
#SPJ11
A southeastern state had 573 highway fatalities last year where the person killed was not wearing a seat belt even though they had access to one. This year, all law enforcement agencies in the state stressed the importance of wearing a seat belt through education and by stepping up enforcement of the state law requiring seat belt usage. The result of these efforts was a decrease of 12% in non-seat belt usage fatalities this year. How many highway fatalities were there this year where the person was not wearing a seat belt?
The number of highway fatalities in a southeastern state is to be determined where the person was not wearing a seat belt. Last year, 573 highway fatalities occurred in this state where the person killed was not wearing a seat belt even though they had access to one.
The state stressed the importance of wearing a seat belt through education and by stepping up enforcement of the state law requiring seat belt usage. This year, a decrease of 12% in non-seat belt usage fatalities has been seen as a result of these efforts. The question is to find out how many highway fatalities occurred this year where the person was not wearing a seat belt.In this year, the fatalities with non-seat belt usage have reduced by 12%, and the number of fatalities last year was 573. Therefore, this year's number of fatalities where the person was not wearing a seat belt is calculated as:
Let's assume that the number of fatalities with non-seat belt usage in the present year is n. Since there was a decrease of 12% in non-seat belt usage fatalities this year compared to last year, it implies that:0.88 × 573 = nTherefore, n = 504.24 ≈ 504.The answer is 504 fatalities this year where the person was not wearing a seat belt. Explanation: We got this answer by multiplying the total number of non-seat belt fatalities in the previous year by 0.88, which means the fatalities were reduced by 12% or 0.12. The answer was rounded off to the nearest whole number, so the answer is 504.
To know more about number visit:
https://brainly.com/question/3589540
#SPJ11
Jerome has three pairs of jeans two pairs of joggers one pair of black pants and one pair of khaki pants it’s your room so likes his pants at random what is the probability he will select jeans or joggers P(jeans or joggers)=
The probability of Jerome selecting jeans or joggers from his collection of pants is 5/7, indicating a high likelihood of choosing either jeans or joggers.
Jerome has a total of 3 pairs of jeans and 2 pairs of joggers. Since the question asks for the probability of selecting jeans or joggers, we need to consider the favorable outcomes, which are the jeans and joggers, and the total number of possible outcomes, which is the total number of pants.
The total number of pants Jerome has is 3 (jeans) + 2 (joggers) + 1 (black pants) + 1 (khaki pants) = 7. Out of these 7 pants, the favorable outcomes are the jeans and joggers, which total 3 (jeans) + 2 (joggers) = 5.
Therefore, the probability of Jerome selecting jeans or joggers can be calculated as the favorable outcomes divided by the total number of outcomes: P(jeans or joggers) = 5/7.
Learn more about probability here :
https://brainly.com/question/31828911
#SPJ11
The mean of the waiting times in an emergency room is 121 minutes with a standard deviation of 12.7 minutes for people who are admitted for additional treatment. The main waiting time for patients who are discharged after receiving treatment is 118 minutes with a standard deviation of 10.5 minutes. Which times are more variable? Calculate the coefficient of variation. Round your answers to one decimal place. Additional treatment CVar: discharged CVar:
The waiting times for patients who are admitted for additional treatment have a higher variability compared to the waiting times for patients who are discharged after receiving treatment.
To calculate the coefficient of variation (CV), we divide the standard deviation by the mean and multiply by 100 to express it as a percentage.
For patients admitted for additional treatment:
CV = (12.7 / 121) * 100 ≈ 10.5%
For patients discharged after receiving treatment:
CV = (10.5 / 118) * 100 ≈ 8.9%
Therefore, the coefficient of variation is higher for patients admitted for additional treatment, indicating a higher degree of variability in their waiting times compared to patients discharged after receiving treatment.
Learn more about coefficient of variation (CV) here: brainly.com/question/30783938
#SPJ11
Find the 13th term of the geometric sequence 7, -21, 63, ...7,−21,63,...
To find the 13th term of the geometric sequence 7, -21, 63, ..., we need to determine the common ratio of the sequence and then calculate the 13th term using the formula for the nth term of a geometric sequence.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio. To find the common ratio, we can divide any term by its preceding term. In this sequence, dividing any term by its preceding term gives us -3. Therefore, the common ratio is -3.
The formula for the nth term of a geometric sequence is given by:
an = a1 * r^(n-1),
where an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term in the sequence.
Substituting the given values into the formula, we have:
a13 = 7 * (-3)^(13-1) = 7 * (-3)^12.
Calculating this expression, we find that the 13th term of the geometric sequence is -3,834,147.
Learn more about geometric here:
https://brainly.com/question/29170212
#SPJ11
How many roots the functions have in common? f(x)=x 2 +4x
The function x²+ 4x = 0 has two roots in common with the equation g(x) = 0, which are x = 0 and x = -4.
To find the number of roots that the functions f(x) = x² + 4x and g(x) = 0 have in common, to solve the equation f(x) = g(x).
Setting the two functions equal to each other,
x² + 4x = 0
To solve this quadratic equation, factor out the common factor x:
x(x + 4) = 0
two possible solutions:
x = 0
x + 4 = 0, which gives x = -4
To know more about function here
https://brainly.com/question/30721594
#SPJ4
A dice is taken on which numbers from 6 to 11 are written on its six faces. The HCF of numbers written on any pair of opposite faces is always 1. Based on this information, answer the questions that follow. How many different possible combinations are possible for writing the numbers on six faces?
There are 120 different possible combinations for writing the numbers on the six faces of the dice, satisfying the given condition.
How to find how many different possible combinations are possible for writing the numbers on six facesTo find the different possible combinations for writing the numbers on the six faces of the dice, we can consider the prime factorization of each number from 6 to 11.
The numbers from 6 to 11 are:
6, 7, 8, 9, 10, 11
Prime factorization of these numbers:
6 = 2 * 3
7 = 7
8 = 2^3
9 = 3^2
10 = 2 * 5
11 = 11
Since the highest common factor (HCF) of numbers written on any pair of opposite faces is always 1, it means that no prime factor is common between the numbers on any pair of opposite faces.
To determine the different combinations, we can count the number of ways we can arrange the prime factors on the six faces of the dice without repeating any factor.
The prime factors are:
2, 3, 5, 7, 11
Considering that each face of the dice can have one prime factor, the number of different combinations is equal to the number of ways we can arrange these prime factors.
Using the concept of permutations, the number of different combinations can be calculated as:
5! (5 factorial) which is equal to 5 * 4 * 3 * 2 * 1 = 120
Therefore, there are 120 different possible combinations for writing the numbers on the six faces of the dice, satisfying the given condition.
Learn more about combinations at https://brainly.com/question/4658834
#SPJ4
In the past month, Dan rented 1 video game 5 and DVDs. The rental price for the video game was $2.70 . The rental price for each DVD was $4.60 . What is the total amount that Dan spent on video game and DVD rentals in the past month?
Dan spent $25.70 in the past month on video game and DVD rentals.
In the past month, Dan rented 1 video game and 5 DVDs. The rental price for the video game was $2.70, and the rental price for each DVD was $4.60.
Let's calculate the total amount that Dan spent on video game and DVD rentals in the past month.
The cost of renting a video game was $2.70, and Dan rented only one video game.
Total cost of renting one video game is = $2.70
The cost of renting one DVD is $4.60, and Dan rented five DVDs.
Total cost of renting five DVDs is = $4.60 × 5= $23
Therefore, Dan spent $2.70 + $23 = $25.70 in the past month on video game and DVD rentals.
In summary, Dan spent $25.70 in the past month on video game and DVD rentals.
To know more about total cost, click here
https://brainly.com/question/14927680
#SPJ11
Plot points at (2, 0), (4, 0) and (3, 0). What is true about all points whit a y- coordinate of 0?
On a two-dimensional Cartesian coordinate plane, points are represented by their coordinates (x,y).
The horizontal axis is called the x-axis and the vertical axis is called the y-axis. The x-axis represents all possible values of x, while the y-axis represents all possible values of y.
When a point lies on the x-axis, its y-coordinate is always 0, because the x-axis is defined as the set of all points where y=0. Therefore, any point with a y-coordinate of 0 will lie on the x-axis.
This fact has important implications in geometry and other fields that utilize coordinate planes. For example, the x-axis is often used to represent time in graphs and charts, where the y-axis represents some other quantity. Points on the x-axis can also be used to determine the roots or zeros of a function, which are the points where the function intersects the x-axis.
Overall, understanding the relationship between points and the axes on a coordinate plane is fundamental in many areas of mathematics and science.
Learn more about coordinate here:
https://brainly.com/question/22261383
#SPJ11
Jessica is trying to pack up her apartment and has a wall map that is 11 feet long when she rolls it up. Will it fit diagonally into her storage bin that is 8 feet long, by 6 feet wide, and 2 feet tall.
Given that Jessica has a wall map of length 11 feet and a storage bin with length 8 feet, width 6 feet, and height 2 feet. We have to determine if the wall map can fit diagonally into the storage bin. Diagonal of the storage bin = √(l²+w²+h²)
where l, w, and h are the length, width, and height of the bin respectively. The data collected through a census is used for a variety of purposes, including public policy-making, resource allocation, and research. To ensure that a census provides accurate and reliable data, it is necessary to sample the entire population. This means that every individual in the population must be included in the census sample.
In other words, a census is a complete enumeration of all the people living in a given area. Diagonal of the storage bin = √(8²+6²+2²) = √(64+36+4) = √104 feet Now, the length of the wall map is 11 feet, which is greater than the diagonal of the storage bin. The data collected through a census is used for a variety of purposes, including public policy-making, resource allocation, and research. To ensure that a census provides accurate and reliable data, it is necessary to sample the entire population. So, the wall map won't fit diagonally into the storage bin. Hence, the wall map won't fit diagonally into her storage bin.
To know more about length visit:
https://brainly.com/question/32060888
#SPJ11
Three brothers Bob, Dan and Aaron were given $264 to share in the ratio of 2:3:1 respectively. How much money dis Dan receive?
A share in the ratio of 2:3:1 respectively Dan received $132.
To determine how much money Dan received, we need to calculate his share based on the given ratio. The total ratio is 2 + 3 + 1 = 6. To find the fraction that represents Dan's share, we divide his ratio by the total ratio: 3 / 6 = 1/2.
Next, we need to find the amount of money that corresponds to 1/2 of the total sum. We can do this by dividing the total amount of money by the total ratio and multiplying it by Dan's ratio: ($264 / 6) * 3 = $132.
Therefore, Dan received $132 out of the $264 that were shared among the three brothers. The ratio of 2:3:1 implies that Dan's share is three times the value of the smallest ratio, which is 2.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ11
What is the mode for the data set? 67, 73, 78, 71, 80, 74, 79, 76, 75, 70, 72 67 74 79 80 none.
Mode for the data set is 67, 74, 79, 80. Mode is defined as the most frequently occurring number or the number that appears most often in the data set. In this data set: 67 appears only once, 73 appears only once, 78 appears only once, 71 appears only once, 80 appears twice, 74 appears twice, 79 appears twice, 76 appears only once, 75 appears only once and 70 appears only once.
The mode for the data set is the set of numbers that appear most often. From the set of data, the following numbers are the most frequently occurring: 67, 74, 79, and 80. Therefore, the mode for the given data set is 67, 74, 79, 80.Note: The term "none" at the end of the data set is not considered a numerical value and it does not affect the calculation of the mode.
Learn more about frequently here:
https://brainly.com/question/357874
#SPJ11
The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C. A 2-column table with 5 rows. The first column is labeled number of keys above the a above middle c with entries 0, 2, 3, 6, 10. The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44. 1. Using the exponential regression model, which is the best prediction of the wavelength of the key that is 8 above the A above middle C? 49. 31 cm 49. 44 cm 49. 73 cm 49. 78 cm.
The best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.
The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C. A 2-column table with 5 rows.
The first column is labeled number of keys above the a above middle c with entries 0, 2, 3, 6, 10.
The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44.
1. Using the exponential regression model, the best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.
The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C
.A 2-column table with 5 rows.
The first column is labeled the number of keys above the a above middle c with entries 0, 2, 3, 6, 10.
The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44. 1.
The data can be represented as:In order to find the wavelength of the key that is 8 above the A above middle C, we will use the exponential regression model given as:
Wavelength of the note y = a*bx
Here, the number of keys away from A above middle C (x) will be the independent variable and the wavelength (y) will be the dependent variable.
Now, we will find the values of a and b using the given data.
Step 1: Find the values of abxfor each x in the data tableThe values of abxfor each x in the data table are calculated below:
Step 2: Calculate the average of the abxvalues by using the formula:
Step 3: Find the value of a using the formula:Step 4: Find the value of b using the formula:
Now, we have the values of a and b for the exponential regression model y = a*bx
i.e. y = 46.862*1.056x
Using this model, the wavelength of the key that is 8 above the A above middle C can be calculated as follows:
Wavelength of the key 8 notes above A above middle C (x = 8)
= y
= 46.862*1.0568
= 49.73 cm
Therefore, the best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.
To know more about wavelength visit:
https://brainly.com/question/31143857
#SPJ11
What values of p will the equation x^2=p have 0 real number solution why
The equation x^2 = p has 0 real number solution when p is less than or equal to 0. This is because the square of any real number is always non-negative. Therefore, if p is less than or equal to 0, then there is no real number x such that x^2 = p.
For example, if p = -1, then the equation x^2 = -1 has no real number solutions. This is because the square of any real number is always non-negative. Therefore, there is no real number x such that x^2 = -1.
However, if p is greater than 0, then there are two real number solutions to the equation x^2 = p. These solutions are x = sqrt(p) and x = -sqrt(p).
For example, if p = 4, then the equation x^2 = 4 has two real number solutions. These solutions are x = 2 and x = -2.
In conclusion, the equation x^2 = p has 0 real number solution when p is less than or equal to 0. This is because the square of any real number is always non-negative.
A triangular prism has a volume of 63 cubic inches and a height of 2. 5 inches. What is the area of the triangular prism in square inches?
To find the area of the triangular prism, we need to know the dimensions of the triangular base. However, the information provided in the question does not specify the dimensions of base triangle.
Without that information, we cannot determine the exact area of the triangular prism.The volume of the triangular prism is given as 63 cubic inches, and the height is given as 2.5 inches. The volume of a prism is calculated by multiplying the area of the base by the height. In this case, the volume is 63 cubic inches, and the height is 2.5 inches. However, since we don't know the area of the base, we cannot calculate the exact dimensions of the base triangle or the area of the triangular prism.
To find the area of the triangular prism, we would need additional information about the dimensions or angles of the base triangle. With that information, we could calculate the area of the base triangle and then multiply it by the height to determine the area of the triangular prism.
To learn more about triangular prism click here : brainly.com/question/27102803
#SPJ11
