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Leviafan [203]
3 years ago
15

What system of inequalities would you use to solve the problem below?

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

answer D

Step-by-step explanation:

Hello

you cannot work more than 22 hours a week so

s + c <= 22

you get paid $8 an hour for swimming lessons and $10 a hour for cashier so you will get

8s + 10c and you make to get at least $190 so

8s + 10c >= 190

the correct answer is the last one

hope this helps

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A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to th
kipiarov [429]

The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2

Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2

The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:

(2x + 13)(2x + 9) = 165

Multiply out the left side (use FOIL or any other method you know):

4x^2 + 18x + 26x + 117 = 165

4x^2 + 44x + 117 = 165

4x^2 + 44x - 48 = 0

Divide both sides by 4.

x^2 + 11x - 12 = 0

Factor the left side.

(x + 12)(x - 1) = 0

x + 12 = 0 or x - 1 = 0

x = -12 or x = 1

The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.

The solution is x = 1.

Answer: The border is 1 inch wide.

Check. Add 2 inches to the length and width of the food listings rectangle to get 15 inches by 11 inches. A = 15 in. * 11 in.= 165 in.^2. Now subtract the area of the border, 48 in.^2, 165 in.^2 = 48 in.^2 = 117 in.^2, and you get the area of the 13-in. by 9-in. rectangle. This shows that our solution is correct.

6 0
3 years ago
Read 2 more answers
HURRY !!
LekaFEV [45]

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

Step-by-step explanation:

Step 1 is correct.

Step 2.

-9.2 >= x

Subtract x from both sides.

-x - 9.2 >= 0

Add 9.2 to both sides.

-x >= 9.2

Divide both sides by -1. When you multiply or divide both sides of an inequality, the inequality sign changes direction.

x <= -9.2

The first error is in Step 2.

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

8 0
3 years ago
Read 2 more answers
Say what now?! I don’t get this please help!
Nuetrik [128]

Answer:

D)

Step-by-step explanation:

7x + 4 = 3x + 68

7x - 3x = 68 - 4

4x = 64

x = 64/4

x = 16

I Hope I've helped you.

7 0
2 years ago
Read 2 more answers
Which statement correctly compares the shapes of the distribution?
aniked [119]

the answer to your question is c

4 0
3 years ago
Write an expression that equals 56. Include an exponent.
Troyanec [42]

There are many possibilities. An example is 1^{1} + 55 = 56.

6 0
3 years ago
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