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3 years ago

What is the correct answer and why show your work

Mathematics

2 answers:

Anna11 [10]3 years ago

6 0

Answer:

A7.45x = y

Step-by-step explanation:

We can use a ratio to solve this problem. Take the total cost of the lunches and divide by the number of lunches.

y = total cost of lunches and

x = number of lunches

74.50 y

-------------- = ------------

10 x

Using cross products

74.5 x = 10 y

Divide each side by 10

74.5/10 x= 10y/10

7.45x = y

GaryK [48]3 years ago

3 0

Answer:

Step-by-step explanation:

Discussion

There is only one answer that works and that is A. The rest give you strange answers. Each box, no matter how many there are, costs 7.45

Since you don't know the number of boxes, call that x

The total cost is y

Therefore y = 7.45*x

The other choices

B: When you cross multiply the proportion of B, you get

7.45*y = 10x That means the total (y) is multiplied by 7.45 (making y not the total). When you divide by 10, the answer is now meaningless. B is incorrect.

C: C is saying that each box costs 74.50. That was supposed to be the total for 10 boxes. C is getting to be far too big. C is not the answer.

D: They total is y, not 74.5 * y. The answer is getting out of control (too big) if it is D. So D is incorrect.

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sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

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Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

So Area of the window = $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

Learn more about area of circle and rectangle at brainly.com/question/4694841

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