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ArbitrLikvidat [17]
2 years ago
15

Angie mows lawns in her neighborhood to make money. She charges $25 per lawn and buys a new mower for $200. If x is the number o

f lawns, and p is her profit, which of the following would you use to find Angie's profit?
a. 200=25x+p
b. 25x−200=p
c. 25x=p−200
d. 25x+200=p
Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Answer: Angie's profit equation is 25x−200=p

Step-by-step explanation:

Let x represent the number of lawns that Angie mows in her neighborhood.

Let p represent the profit made by mowing x lawns.

Profit = Revenue - cost

She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x

So her revenue is 25x

She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as

p = 25x - 200

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Substitute the values of x to the equation of the function f:

x=-1\to f(-1)=2(-1)^2-4(-1)+1=2(1)+4+1=7\\\\x=2\to f(2)=2(2^2)-4(2)+1=2(4)-8+1=1

Therefore we have two points (-1, 7) and (2, 1).

We can calculate the slope of line l.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{1-7}{2-(-1)}=\dfrac{-6}{3}=-2

<h3>Answer: A) -2.</h3>
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Step-by-step explanation:

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The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.
REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • 2 cubes at the top and 4 at the bottom
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes +  Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

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