The graph shows the cost for each lawn that is mowed.
What does the rate of change represent in this situation?
Select the choices to correctly complete the sentence.
The rate of change represents
A) The number of lawns moved for every 1 dollar
B) The cost for every 1 lawn moved
C) The amount of lawns moved every hour
Answers
The rate of change represents the cost per lawn mowed. which is the correct answer would be an option (B).
What is the average rate of change of the function?It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
The graph is given in the question.
According to the given graph, we can see that the y-axis is labeled cost (dollars) and that the x-axis is labeled lawns mowed.
The rate of change of a graph is given by the y value divided by the x value.
As per this situation, the rate of change describes the cost per lawn mowed.
Therefore, the rate of change represents the cost per lawn mowed.
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Related Questions
anna can type 123 in 3 minutes ,caroline can type220 words in 5 minutes who can type faster
Answers
If you divide 123 by 3 to see how many words Anna types per minute, its comes to 41 words/minute. Dividing 220 by 5 to find the words/minute Caroline types would result in 44 WPM.
Anna- 123 in 3 minutes
123:3
Caroline- 220 in 5 minutes
220:5
Both 3 and 5 can go into 15.
Caroline: [tex] \frac{220}5} = \frac{660}{15} [/tex]
Anna: [tex] \frac{123}{3} = \frac{615}{15} [/tex]
Anna can type faster than Caroline. Hope this helps! :)
An automobile detailer can detail 20 cars in 10 hours. At this rate, how many cars can he detail in 1 hour?
Answers
there are 48 beads in a package. candice bought 4 packages of blue,9 packages of gold,6 packages of red,and 2 packages of silver beads. about how many beads did candice buy ?
Answers
1008
p.s: im in 7th grade so you can trust me
Write an equation about having 6 puzzles, getting 5 more and having a lot now.
Answers
or
6+5=?
It shows we originally have 6 and now have 5 more having a total of 11
Jordan made a scale drawing of the Statue of Liberty. He used the scale 1 in. = 30 feet for his drawing. The actual height from the ground to the top of the torch is 305 feet 6 inches. What is the distance, rounded to the nearest inch, from the ground to the top of the torch in Jordan’s drawing? A. 10 in. B. 11 in. C. 15 in. D. 25 in.
Answers
I did math
much A
Such correct
A rectangle has an area of 20 square feet and a length of 6 feet. What is its width? show me how you got the answer.
Answers
3 1/3 is the width of the given rectangle.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
We can use the formula for the area of a rectangle, which is:
area = length x width
We are given the area as 20 square feet and the length as 6 feet. We can plug these values into the formula and solve for the width:
20 = 6 x width
Dividing both sides by 6, we get:
width = 20/6
Simplifying this fraction, we get:
width = 3 1/3 feet
Therefore, the width of the rectangle is 3 1/3 feet.
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Final answer:
To calculate the width of a rectangle when the area is 20 square feet and the length is 6 feet, you divide the area by the length to get the width, which is 3⅓ feet.
Explanation:
To find the width of a rectangle when the area and the length are given, you can use the formula for the area of a rectangle, which is Area = length × width. In this case, we are given the area (20 square feet) and length (6 feet), so we set up the equation:
20 square feet = 6 feet × width
To solve for the width, we divide both sides of the equation by the length (6 feet):
Width = 20 square feet ÷ 6 feet
Width = 3.3333 feet or 3⅓ feet
Therefore, the width of the rectangle is 3⅓ feet.
K=59(F−32)+273.15. Solve for F.
Answers
Answer:
The value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]K=59(F-32)+273.15[/tex]
We need to solve the provided equation for F.
Subtract 273.15 from both sides.
[tex]K-273.15=59(F-32)[/tex]
Divide both side by 59.
[tex]\frac{K-273.15}{59}=F-32[/tex]
[tex]F-32=\frac{K-273.15}{59}[/tex]
Add 32 from both side.
[tex]F=\frac{K-273.15}{59}+32[/tex]
Hence, the value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]
What is the remainder to 8372÷5
Answers
Marci has 7 bean bag dolls. Lucy has 2 bean bag dolls. Janice has twice the number of dolls as Marci and Lucy combined. How many dolls does Janice have? Explain the steps you used to solve the problem. then write an equation to show the steps.
Answers
(05.01)A scale drawing of a bathroom is shown below: A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20. What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number. 7 ft^2 19 ft^2 12 ft^2 140 ft^2
Answers
Every 1 is meant to represent 20, so multiply both 2 and 3.5 by 20.
2 * 20 = 40
3.5 * 20 = 70
40 * 70 = 2800 in^2
Every 12 inches is 1 foot so divide 2800 by 12^2 (one square foot), or 144.
2800/144 = 19.44444
Round down because .4 is less than half.
Approximately 19 ft^2
19ft^2
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need help plz supposed to turn 8/27 into exponents please help
Answers
You need 3 numbers multipled together, which means you need the third root
what is a number that multipled by itself will give 8? how about 27?
2x2x2 = 8
3x3x3 = 27
so the answer in all of them is (2/3)x(2/3)x(2/3)
Divide 6,723 ÷ 8.
What is the remainder?
Answers
The remainder is 3/8 or .375
If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, find A Intersects with B.
A.
{2, 4}
B.
{1, 2, 3, 4, 5, 6, 8, 10}
C.
{1, 3, 5}
D.
{7, 9}
Answers
{2, 4}
................................................
Alligators lay between 20 and 50 eggs in a nest. A park ranger in Everglades national park counted the number of eggs in 28 nests. On average, there were 40 eggs in each nest. About how many eggs did he count?
Answers
The park ranger counted a total of 1120 eggs in the nests in Everglades National Park.
Explanation:The park ranger in Everglades National Park counted the number of eggs in 28 nests and found that there were an average of 40 eggs per nest. To find the total number of eggs the ranger counted, you can multiply the average number of eggs per nest by the total number of nests. In this case, the calculation would be: 40 eggs/nest x 28 nests = 1120 eggs.
solve and show work
The flow rate of a water pump is 2.8 gallons per minute. How many minutes does it take this pump to transfer 84 gallons of water out of a swimming pool? PLZ help me
Answers
It will take 30 minutes for the pump to transfer 84 gallons of water out of the swimming pool using the flow rate of 2.8 gallons per minute.
To calculate the time it takes for the water pump to transfer 84 gallons of water at a rate of 2.8 gallons per minute, you can use the formula for time, which is time = total volume/flow rate.
Firstly, find the total volume of water to be transferred, which is 84 gallons.
Next, find the flow rate of the pump, which is 2.8 gallons per minute.
Divide the total volume by the flow rate to find the time: 84 gallons / 2.8 gallons per minute = 30 minutes.
Therefore, it will take the pump 30 minutes to transfer all 84 gallons of water out of the swimming pool.
The function f(x)=3(2.5)^ is shown on the graph. Fill in the blank. As x increases without bound, the graph of f(x) _________________.
decreases without bound
increases without bound
approaches y=0
approaches y=3
Answers
Using scale factor of 1 inch = 5 feet, the blueprint dimensions of bedroom that is 12 feet x 18?
Choices
A) 2.2 in. X 3.3 in.
B) 2.4 in. X 3.6 in.
C) 2.8 in. X 4.2 in.
D) 2.9 in. X 5.0 in.
Answers
The first dimension is 12 feet so we need to divide that by 5.
12 / 5 = 2.4
The first dimension is 2.4.
From this point we don't need to solve any more because there is only one answer with 2.4 in it, so we can conclude that the answer is B
The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.
To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:
12 feet / 5 feet per inch = 2.4 inches
And for the width:
18 feet / 5 feet per inch = 3.6 inches
Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.
7/8m + 9/10 - 2m - 3/5
Answers
Answer:
The simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{7}{8}m + \frac{9}{10} - 2m - \frac{3}{5}[/tex]
Now combine the like terms,
Like terms are the terms which contains same variables of same degree.
[tex]\frac{7}{8}m -2m + \frac{9}{10}-\frac{3}{5}[/tex]
The above expression can be written as:
[tex]\frac{7}{8}m -\frac{8}{8}\times 2m + \frac{9}{10}-\frac{2}{2}\frac{3}{5}[/tex]
[tex]\frac{7-16m}{8}+\frac{9-6}{10}[/tex]
[tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Hence, the simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Answer:
The simplified expression is - 7/8 m + 3/10
Step-by-step explanation:
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. Answer:
Answers
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12
Hope this helps :)
A. K+S=36
B. Well Simple Addition and Subtraction solves this easily. If you Add 12+12 it equals 24. It still needs to be larger so that Kim is twice as old as her little sister. So you Add another 12 which gives you 36. Or you can easily subtract 12 from it and that will also bring you to 24.
Which expression is equivalent to 5(x + 7)?
A) 5x + 12
B) 5x + 35
C) 5x + 7
D) 40x
Answers
Answer:
i think is b
Step-by-step explanation:
$1725 couch with a 15% markup
Answers
1725+258.75=t
1983.75=t
The total cost of the couch is $1983.75
To find the final price of the couch with a 15% markup, we add the markup to the original price of the couch.
Explanation:In this question, we are given a couch priced at $1725 with a 15% markup. To find the final price, we need to add the markup to the original price of the couch.
Markup = 15% of $1725 = (15/100) * $1725 = $258.75
Final price = Original price + Markup = $1725 + $258.75 = $1983.75
Last year you received 25 valentine cards from all of your friends. This year you received 30 total valentines. Calculate the percent change
Answers
A line passes through (8,-1) and is perpendicular to y=2x-9. What is the equation of the line in point-slope form?
Answers
y - y1 = m(x - x1)
slope)m) = -1/2
(8,-1)....x1 = 8 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = -1/2(x - 8)...not done yet
y + 1 = -1/2(x - 8) <== ur perpendicular line
The equation of the line in point-slope form is y = -1/2x +3.
What is the slope of a line?A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.
Given coordinates (8, -1)
and the equation of a line is y = mx + c
given equation = y = 2x - 9
comparing from the equation of line we get m = 2
but the line passes from (8, -1) is perpendicular to a given line,
so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,
so m = -1/2
and equation is (y - y₁) = m(x - x₁)
where y₁ = -1 and x₁ = 8
substitute the values
y - (-1) = -1/2(x - 8)
y + 1 = -1/2(x - 8)
y = -1/2x +4 -1
y = -1/2x +3
Hence the equation of a line is y = -1/2x +3.
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A recipe uses 8 3/4 cups of milk for every 3 1/2 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal?
Answers
8 3/4=8.75 3 1/2=3.50 8.75÷3.50→875÷350=2 175/350
175=1/2 of 350
To figure out how many cups of milk are used for each cup of oatmeal, divide the amount of milk by the amount of oatmeal. The result is 2 1/2 cups of milk for each cup of oatmeal.
Explanation:The question is asking us to figure out what the ratio of cups of milk to cups of oatmeal would be if it were reduced to one cup of oatmeal. The original proportions provided in the question are 8 3/4 cups of milk for 3 1/2 cups of oatmeal.
To find the answer, we would divide the amount of milk by the amount of oatmeal. First, we need to convert the mixed numbers to improper fractions. 8 3/4 is the same as 35/4 and 3 1/2 is the same as 7/2.
Then, we divide 35/4 by 7/2, which turns into a multiplication problem: 35/4 times 2/7. Keep in mind that multiplying fractions is straightforward - you simply multiply the numerators with numerators and denominators with denominators.
The result, therefore, becomes 70/28 which simplifies to 2.5 or 2 1/2 when turned back into a mixed number. So, there are 2 1/2 cups of milk used for each cup of oatmeal.
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Write 1/125 as an expression using a negative exponent other than -1
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 1/125 as a negative exponent other than -1 is 5⁻³.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 1/125 as a negative exponent other than -1 can be written as,
1/125
= 1/(5³)
= 5⁻³
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josh's web site had 805,289 visitors. Diego's site had 784,976 visitors. How many more visitors did josh's sit have than Diego's. Estimate to check your answer.
Answers
Josh's site had 20,313 more visitors than Diego's site. To estimate, we round the number of visitors to each site to the nearest thousand and subtract, revealing an approximate difference of 20,000 visitors, which is close to the exact count.
To find out how many more visitors Josh's site had than Diego's, we subtract the number of visitors to Diego's site from the number of visitors to Josh's site.
Josh's site had 805,289 visitors and Diego's site had 784,976 visitors. So we calculate:
805,289 - 784,976 = 20,313
Josh's site had 20,313 more visitors than Diego's site.
Estimate:
To estimate, we can round the numbers to the nearest thousand:
Josh's site: Approximately 805,000 visitors
Diego's site: Approximately 785,000 visitors
Now we subtract:
805,000 - 785,000 = 20,000
The estimate shows that Josh's site had about 20,000 more visitors than Diego's, which is close to the exact difference of 20,313 visitors.
Write and equation to solve the problem, "five less than the product of 6 and a number is -23"?
Answers
6 n - 5= - 23
the variable n is -3
Break apart 16x34 into 4 simpler multiplication problems?
Answers
The simpler multiplication after breaking apart 16 × 34 are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
16 × 34
The multiplication can be broken into simpler multiplication as shown below,
2 × 2 × 2 × 2 × 2 × 17
544
Break the term as shown below,
500 + 44
5 × 100 + 11 × 4
The 16 × 34 can also be written as 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17
Thus, the simpler multiplications are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.
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The key club made $192 at their candle sale.They sold round candles for $4 and square candles for $6.If they sold twice as many square candles as round ones,how many of each type of candle did the key club sell?
Answers
Answer:
24 square candles and 12 round candles
Step-by-step explanation:
4r+6s=192
s=2r
Solve:
4r+6(2r)=192
4r+12r=192
Combine like terms
16r=192
r=12
s=2(12)
s=24
12 round candles and 24 square candles.
Can you help me for number 36, please thank you!