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Anna71 [15]
3 years ago
5

Joe went shopping for holiday gifts for her family. She has a budget of $150. She has 15 people to purchase a gift for, but also

would like to spend $30 on her self. Write and solve an inequality to determine the maximum amount she can spend on her family.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0
$150 (budget) - $30 (spend on herself) = $120 (left)

120 / 15 = $8

(150 - 30) divided by 15 = $8

Only $8 maximum can be spent on each family member
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Answer: NP = 9 inches

Step-by-step explanation:

In a parallelogram, the opposite sides are equal.

If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.

If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.

The perimeter is 2MN + 2NP

If the perimeter of MNPQ is 68 inches, it means that

2MN + 2NP = 68- - - - - - - - - - - -1

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that

MN = 2NP + 7- - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

2(2NP + 7) + 2NP = 68

4NP + 14 + 2NP = 68

4NP + 2NP = 68 - 14

6NP = 54

NP = 54/6

NP = 9 inches

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Step-by-step explanation:

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Step-by-step explanation:

To solve this problem, first you have to use the slope formula of \displaystyle \frac{y_2-y_1}{x_2-x_1}.

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