3 years ago

[20 POINTS] Find the area of the rectangle

Mathematics

1 answer:

zvonat [6]3 years ago

8 0

5 points

Hope this helps

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A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true? The ratio of football

Mrac [35]

Footballs : basketballs = 2.5 : 1
(x 2)
footballs : basketballs = 5 : 2
⇒ basketballs : footballs = 2 : 5

Answer: The ratio of basketballs to footballs is 5 : 2.

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3 years ago

Maddie's monthly take home pay is $3,500. She is making monthly payments of $250 for a student loan and $218 for a credit card.

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C. $482

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Given that x = 7.3 m and θ = 52°, work out AB rounded to 3 SF.

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3 years ago

A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat

jolli1 [7]

Answer:

7000 type A
6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

$C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y$

Then the profit equation is ...

$P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6$

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

∂P/∂x = 0 = -2x +2y +2

∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

y = x -1
x -9y = -47

Substituting the first into the second gives ...

x -9(x -1) = -47

-8x = -56

x = 7

y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

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3 years ago