Benito made a wooden box to grow herbs on his patio. The box is 16 inches wide, 12 inches tall, and 28 inches long. He plans to fill the box exactly two-thirds full with potting soil. What volume of soil does Benito need? I know how to do this I just need to know if the two-thirds part is trying to throw me off
To fill the wooden box with potting soil precisely up to two-thirds of its capacity, Benito requires a volume of 3,584 cubic inches.
The volume of soil that Benito needs to fill the box two-thirds full can be calculated by finding two-thirds of the total volume of the box.
The volume of the box can be calculated by multiplying the width, height, and length:
16 inches (width) x 12 inches (height) x 28 inches (length) = 5,376 cubic inches.
Two-thirds of this volume can be found by multiplying the total volume by 2/3:
5,376 cubic inches x 2/3 = 3,584 cubic inches.
Therefore, Benito needs 3,584 cubic inches of potting soil to fill the box exactly two-thirds full.
Learn more about volume here: brainly.com/question/1578538
#SPJ4
How much greater is 0.05723 then 0.005?
0.05723 is 0.05223 greater than 0.005.
What is greater than?"Greater than" is a comparison term used to indicate that one quantity or value is larger or more than another quantity or value. It is represented mathematically by the symbol ">".
What is lesser than?"Lesser than" is a comparison term used to indicate that one quantity or value is smaller or less than another quantity or value. It is represented mathematically by the symbol "<".
In the given question,
To find out how much greater 0.05723 is than 0.005, we can subtract 0.005 from 0.05723:0.05723 - 0.005 = 0.05223
Therefore, 0.05723 is 0.05223 greater than 0.005.
To know more about comparison, visit:
https://brainly.com/question/29163855
#SPJ1
What is the median of the following data set? 5, 9, 6, 6, 7, 5, 8, 7, 6 A 6 B 9 C 7 D 5
Answer: The median is 6
Step-by-step explanation: The median is the data value separating the upper half of a data set from the lower half.
Arrange data values from lowest to highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
There are 30 students in Mr. Hall class. 1/3 of the students are traveling somewhere this summer. Of those traveling, 1/5 are going out of the country. How many students are traveling out of the country?
The number of students traveling are 2 students out of the 30 who are traveling out of the country this summer. If 1/3 of the students are traveling somewhere this summer, then we can calculate the number of students who are traveling by multiplying the total number of students by 1/3:
Number of students traveling = 30 x 1/3 = 10
Now, we need to find out how many of these 10 students are traveling out of the country. We know that 1/5 of the students who are traveling are going out of the country, so we can find the number of students who are traveling out of the country by multiplying the total number of traveling students by 1/5:
Number of students traveling out of the country = 10 x 1/5 = 2
Therefore, there are 2 students out of the 30 who are traveling out of the country this summer.
It's important to note that fractions can be converted to decimals or percentages to make them easier to work with. For example, 1/3 can be written as 0.33 or 33%, and 1/5 can be written as 0.20 or 20%. This can be particularly useful when dealing with more complex problems or when working with larger numbers.
In summary, by using the information given, we can determine that out of the 30 students in Mr. Hall's class, 10 are traveling somewhere this summer, and out of those 10 students, 2 are going out of the country. This type of problem-solving helps build math skills that are applicable in real-world scenarios, such as budgeting and planning for travel.
To know more about traveling click here:
brainly.com/question/17235551
#SPJ4
What is a name for the angle below? Do not include the angle symbol in your answer.
Armando opened a new savings account with an initial deposit if $250. Which combination will result in a zero balance in armandos account?
A zero balance in Armando's account can be achieved by subtracting $250 from the account balance. This can be done through a combination of withdrawals and/or transfers out of the account.
What is subtracting?Subtracting is a mathematical operation that involves taking one number away from another. It is the inverse of addition, and is represented by the minus sign (-). Subtracting is used to determine the difference between two numbers, or to reduce a number by a given amount. In algebraic terms, subtracting is represented by the equation: a - b = c, where a is the starting number, b is the number to be subtracted, and c is the resulting difference. Subtracting can also be used on fractions, decimals, and other forms of numbers.
For example, Armando could make a $250 withdrawal from the account or transfer $250 to another bank account.
To learn more about subtracting
https://brainly.com/question/17301989
#SPJ1
Expand and simplify (3x - 1)(9x² + 3x + 1)
Ill give brainliest for the answer
Answer:
x = 20
Step-by-step explanation:
if a line is parallel to a side of a triangle and intersects the other two sides, it divides those sides proportionally.
QR is parallel to ST and intersects the other two sides of the triangle, then
[tex]\frac{PQ}{QS}[/tex] = [tex]\frac{PR}{RT}[/tex] ( substitute values )
[tex]\frac{x}{45-x}[/tex] = [tex]\frac{16}{30-16}[/tex]
[tex]\frac{x}{45-x}[/tex] = [tex]\frac{16}{20}[/tex] ( cross- multiply )
20x = 16(45 - x)
20x = 720 - 16x ( add 16x to both sides )
36x = 720 ( divide both sides by 36 )
x = 20
Write a formula for f(t) as a sum of Heaviside functions. Type uc for the Heaviside function that jumps at c (don't type uc(t) ). F(t) = t, 0 ≤ t ≤ 3 2t−3, 3 < t ≤ 4 5, 4 < t
The formula for f(t) as a sum of Heaviside functions is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4).
To express f(t) as a sum of Heaviside functions, we break down the function into its respective intervals and use the unit step function or Heaviside function to represent the function in each interval.
f(t) = t, 0 ≤ t ≤ 3
f(t) = 2t - 3, 3 < t ≤ 4
f(t) = 5, 4 < t
Using the Heaviside function uc for the jump at c, we can represent each interval as follows:
f(t) = tuc(t) - tuc(t-3), 0 ≤ t ≤ 3
f(t) = (2t-3)uc(t-3) - (2t-3)uc(t-4), 3 < t ≤ 4
f(t) = 5uc(t-4), 4 < t
Therefore, the formula is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4)
Learn more about the Heaviside functions at
https://brainly.com/question/30891447
#SPJ4
I am too lazy to search it up on brainly tell me what is the answer
Answer:
no lol im too lazy
Step-by-step explanation:
give me brain
Answer:
x = 9/10.
Step-by-step explanation:
0.5(4x + 9) = 3x * 7/3
2x + 9/2 = 3x * 7/3
2x + 9/2 = 7x
5x = 9/2
x = 9/10.
Elena and Jada were racing on their bikes. Elena started 15 meters ahead of Jada. Elena biked at a rate of 20 meters per second. Jada biked at a rate of 22 meters per second. Let x represent time in seconds and y represent distance in meters. After how many seconds will Jada pass Elena?
Jada overtakes Elena after 7.5 seconds.
The set of equations that best captures the scenario is =y=15+20x.
Let's establish a coordinate system with Elena's starting point as the origin. Elena's separation from the origin at time x is given by: y=15+20x
y1 = 15 + 20x
Jada's distance from the origin at time x is determined similarly by:
y2 = 22x
Finding the moment x at which Jada overtakes Elena and their distances from the origin are equal is our goal.
y1 = y2
With the formulas for y1 and y2 substituted, we obtain:
15 + 20x = 22x
When we simplify this equation, we obtain:
2x = 15
x = 7.5
Jada therefore overtakes Elena after 7.5 seconds.
To know more about set of equations, click the below link
https://brainly.com/question/90105
#SPJ4
The equation y = 8x represents the
relationship between the amount of
time Shanay takes to weave thread
into fabric and the number of rows.
How long will it take Shanay to weave
72 rows of fabric at this constant rate?
Pls solve 60 points if you do
Answer:
Cos2a - cot2a/sin2a - tan2a
Step-by-step explanation:
Suppose a product's revenue function is given by R(q) = - 7q + 600qr. Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to use the proper variable in your answer. (Use the preview button to check your syntax before submitting your answer.) Answer: MR(q) =
The expression for the marginal revenue function is MR(q) = 600r - 7.
The given product's revenue function is R(q) = - 7q + 600qr.
To find an expression for the marginal revenue function, we can use the following steps:
Step 1: Take the first derivative of the revenue function with respect to q to obtain the marginal revenue function MR(q).
Step 2: Simplify the expression for MR(q) to record the final result.
In other words, the marginal revenue function MR(q) is the derivative of the revenue function R(q) with respect to q. Here, R(q) = - 7q + 600qr.
So, we have to differentiate R(q) with respect to q to get MR(q).
The derivative of - 7q with respect to q is - 7.
The derivative of 600qr with respect to q is 600r because the derivative of q with respect to q is 1.
MR(q) = dR(q) / dq
= (d/dq)(- 7q + 600r)
= (- 7) + (600r)
= 600r - 7
The equation that represents the marginal revenue function is MR(q) = 600r - 7.
To know more about the "marginal revenue function": https://brainly.com/question/2264821
#SPJ11
Write the percent as a decimal.
95%
Answer:
9.5 decimal
espero y te ayude
ASA, SSS, SAS
Define each postulate and give a well written and visual example of each term.
Include as much detail as possible
Answer:
In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.
ASA Postulate:
ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.
SSS Postulate:
SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.
SAS Postulate:
SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.
Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.
Answer:
They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent
Step-by-step explanation:
and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.
Please help!
(x, y)→(x + 130, y + 105 )
Graph
So the transformed rectangle has vertices A'(40, 160), B'(40, 130), C'(80, 130), and D'(80, 160).
What is transformation rule?In mathematics, a transformation rule (also known as a transformation function, transformation formula, or simply a transformation) is a mathematical rule or formula that describes how to map or transform a set of points in one coordinate system to another set of points in a different coordinate system. Transformations can be applied to various mathematical objects, such as points, lines, curves, shapes, or functions, and can be used to achieve various purposes, such as to change the size, shape, position, or orientation of an object, to create a mirror image or a rotation of an object, or to change the coordinate system of an object.
Here,
There appears to be an error in the coordinates of points B and D that you provided, as they are both (-90,25). I will assume that the correct coordinates of point D are (-50,55) to form a rectangle ABCD.
To apply the given transformation rules to each of the four vertices of the rectangle, we add 130 to the x-coordinate and 105 to the y-coordinate. Therefore, the coordinates of the transformed rectangle are:
A' = (-90 + 130, 55 + 105) = (40, 160)
B' = (-90 + 130, 25 + 105) = (40, 130)
C' = (-50 + 130, 25 + 105) = (80, 130)
D' = (-50 + 130, 55 + 105) = (80, 160)
To know more about transformation rule,
https://brainly.com/question/29088211
#SPJ1
Complete question:
Please help! The transformation rules says: (x, y)→(x + 130, y + 105 )
Given rectangle ABCD with A(-90,55) B(-90,25) C(-50,25) D(-50,25).
Find the coordinates of transformed rectangle.
List all prime numbers in the 2023 February calendar
Answer:
6 29 25
Step-by-step explanation:
those are the prime numbers on the 2023 feb calendar
*CORRECT AND FASTEST ANSWER GETS BRAINLIEST!!!*
A greengrocer buys fruit and vegetables from the market and sells them at a 25% mark up. On one particular moring her fruit and vegetables cost her €500. If she sells all of her produce, find:
A) her profit
B) her total income
Answer: Below :)
Step-by-step explanation:
A) To find the profit, we first need to calculate the cost of the produce plus the 25% markup.
The markup is 25% of the cost, which is 0.25 * 500 = €125.
So the total cost of the produce plus markup is €500 + €125 = €625.
Now, if the greengrocer sells all the produce, the total revenue will be 100% plus the 25% markup, which is 125% of the original cost.
125% of €500 is 1.25 * 500 = €625, which is the same as the cost plus markup.
Therefore, the profit is the markup, which is €125.
B) To find the total income, we add the profit to the total cost:
Total income = €500 + €125 = €625
Answer:
A) €125
B) €625
$20 dollars needs to be split between Jack and Jill. Jill gets to make an initial offer. Jack can respond by either accepting Jill’s initial offer or offering a counter offer. Finally, Jill can respond by either accepting Jacks offer or making a final offer. If Jake does not accept Jill’s final offer both Jack and Jill get nothing. Jack discounts the future at 10% i. E. Future earnings are with 10% less than current earnings while Jill discounts the future at 20%. Calculate the best deal of this problem
The best deal for Jack and Jill would be for Jill to offer Jack $10, and for Jack to accept this offer. This would give Jack $9.09 in the future after discounting, and it would give Jill $10 in the future after discounting.
Jack will accept anything positive.
Jill offers: $20 to herself, $0 to JackJill is indifferent between $20 in one year and $16 today (she discounts the future at 20%).
Jack offers: $16 to Jill and $4 to HimselfJack is indifferent between $4 in one year and $3.60 today (he discounts the future at 10%). Note that $16.40 is preferred by Jill to $16 in one year.
Jill offers: $16.40 to herself, $3.60 to JackDiscount refers to the process of reducing the value of future benefits or costs, based on the assumption that people generally prefer immediate benefits to delayed ones. This means that the further into the future a benefit or cost occurs, the less valuable it is considered to be in the present.
Discounting is commonly used in economics, finance, and environmental analysis, where it plays a significant role in determining the present value of future cash flows, investments, and environmental damages. The concept is also used in decision-making, as individuals and organizations often make choices based on their perception of the present value of future outcomes.
To learn more about Discount visit here:
brainly.com/question/28595329
#SPJ4
Megan's standard pay is £17.70 per hour. She gets paid 1.5 times this rate for working overtime. How much will Megan get paid for working 11 hours of overtime? Give your answer to the nearest pound.
Answer:
Step-by-step explanation:
Overtime Rate = [tex]17.70 \times 1\frac{1}{2}[/tex]
[tex]= 17.70 \times \frac{3}{2}[/tex]
[tex]=\frac{53.10}{2}[/tex]
[tex]=\pounds26.55[/tex]
Pay [tex]=11*26.55=\pounds 292.05[/tex] (I assume you can use a calculator for this)
Solution: [tex]\pounds 292[/tex]
please help ill give brainliest to the first correct answer.
i really dont understand this question
The required time is mathematically given as
t-150 minutes.
This is further explained below.
What is the time?We know that the volume of the prism is given by.
[tex]\text{Volume}=\text{(Base Area)}\times\text{height}[/tex]
[tex]\text{Base Area}=\dfrac{1}{2}\times(1.4+0.6)\times2[/tex]
[tex]\text{Base Area}=2\ \text{m}^2[/tex]
Now,
[tex]\text{Volume}=2\times1=2\ \text{m}^3[/tex]
Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.
Because of this, the volume increases.
[tex]\text{Volume}=2\times0.8=1.6\ \text{m}^3[/tex]
Now, the rate of emptying the tank is,
[tex]=\dfrac{2-1.6}{30} =\dfrac{1}{75} \ \text{m}^3/ \text{min}[/tex]
In conclusion, We also know that,
$$
[tex]\text{time}=\dfrac{\text{volume}}{\text{rate}}[/tex]
[tex]\text{time}=\dfrac{2}{\frac{1}{75} } =150 \ \text{min}[/tex]
Therefore, Colin must wait for the pond to drain for a total of 150 minutes.
Read more about the time
https://brainly.com/question/28050940
3) Jiya walks 6 km due east and then 8 km due north. How far is she from her
starting place?
6 km
8 km
Answer:
10km
Step-by-step explanation:
Pythagoras
Formula=[tex]a^2+b^2=c^2[/tex]
[tex]6^{2} +8^{2} =c^2\\c^2=100\\c=\sqrt{100} \\c=10km[/tex]
I need help with these 2 answers
Answers:
1.2x10
2.72 cubic cm
The coordinates below represent points that were translated.Draw a line to connect the coordinates with the correct description and algebraic representation of the translation.
(x-11, y+14) = (-4-7, 7+7) = (-11,14) which matches the new coordinates T(-11,14).
The coordinates' meaning is unclear?In this sense, coordinates are the points where a grid system intersects. GPS coordinates are typically created by combining latitude and longitude. The distance of north and the south from the equator, which is 0 degrees iof north and south, is measured by lines of latitude.
COORDINATES DESCRIPTION ALGEBRAIC REPRESENTATION8. T (-4,7) 7 units right, 7 units up (x-11, y+14)
9. U (3,-4) 7 units left, 7 units up (x+7, y+7)
10. V (-2,-10) 7 units right, 7 units down (x+7, y-7)
To know more about coordinates visit:-
https://brainly.com/question/16634867
#SPJ1
Suppose you have a certain amount of money in a savings account that earns compound monthly interest, and you want to calculate the amount that you will have after a specific number of months. The formula is as follows: f=p*(1 + i)^t f is the future value of the account after the specified time period. p is the present value of the account. i is the monthly interest rate. t is the number of months. Write a program that takes the account's present value, monthly interest rate, and the number of months that the money will be left in the account as three inputs from the user. The program should pass these values to a function that returns the future value of the account, after the specified number of months. the program should print the account's future value. SAMPLE RUN #2: python3 FutureValue.py None Show Highlighted Only Interactive Session Hide Invisibles Highlight: Enter current bank. balance: 35.72 Enter.interest rate:0 Enter the amount of time that passes: 100 35.7
Answer:
Step-by-step explanation:
Hi there! Just multiply by x and find the value of f=p. Good luck!
Find the rate of change over the interval 2 < x < 5; f(x)= 2x^2+5 (use this function).
Answer: The correct answer to this problem would be C, or 32/3.
Step-by-step explanation:
The average rate of change in a function is the rate at which one value changes with respect to another value.
Given function: f(x) = 2x² + x + 5 on interval [-2, 2]
Therefore,
Average rate of change = f(2)-f(-2)/2-(-2)
f(2) = 2(2)² + 2 + 5
f(2) = 15
f(-2) = 2(-2)² - 2 + 5
f(2) = 11
Substitute the values,
Average rate = 5-11/2+2
Average rate = 4/4
Average rate = 1
So, the average rate of change is
Leading me to believe option C is correct.
hihihihihihihihihihihihihihihihihi
Someone please help me ASAP!! It’s due today!! Show work please! I will mark brainliest if it’s done correctly
Answer:
D
Step-by-step explanation:
First set up the fraction [tex]\frac{9}{40}[/tex] , and next divide 9 ÷ 40 = 0.225. Lastly, multiply 0.225 × 100 = 22.5%.
Hope this helps.
from a survey involving 1,000 university students, a market research company found that 750 students owned laptops, 450 owned cars, and 350 owned cars and laptops. if a university student is selected at random, what is the (empirical) probability that
The probability that a student selected randomly owns either a laptop or a car is 85%.
Given a survey with a total of 1000 students, the following data was obtained: 750 students own laptops450 students own cars350 students own laptops and cars a university student is selected at random, what is the (empirical) probability that the student owns either a laptop or a car?
For two events A and B, the union of A and B is the probability that event A or event B occurs. It is the addition of the probabilities of each event minus the intersection of the two events. So in this case, the probability of a student owning either a laptop or a car is P(A∪B) = P(A) + P(B) - P(A∩B) where:
P(A) = probability of owning a laptop = 750/1000 = 0.75
P(B) = probability of owning a car = 450/1000 = 0.45
P(A∩B) = probability of owning both a laptop and a car = 350/1000 = 0.35
Now, substituting values into the formula:
P(A∪B) = 0.75 + 0.45 - 0.35= 0.85
Therefore, the probability that a university student selected randomly owns either a laptop or a car is 85%.
To learn more about probability refer :
https://brainly.com/question/22544647
#SPJ11
