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AlexFokin [52]
2 years ago
14

Congratulations! You won a free grill in a sweepstakes! You know that you can fit a rectangular grill in your truck that has a w

idth of 2 1/2 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.
Mathematics
1 answer:
Basile [38]2 years ago
8 0

Answer: 20 feet perimeter is the largest allowed

Step-by-step explanation:  width=2.5 length=no more than 3x2.5

so find longest possible length allowed...

2.5x3=7.5

calculate largest perimeter allowed...

2(7.5+2.5)=20

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Read 2 more answers
Which point would be a solution to the system of linear inequalities ?
brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

y\geq -\frac{5}{2}x+5 ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

-1\leq \frac{4}{3}(0)+5

-1\leq5 ----> is true

Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

3\leq5 ----> is true

Inequality B

3\geq -\frac{5}{2}(0)+5

3\geq 5 ----> is not true

therefore

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case 3) (-6,-6)

Inequality A

-6\leq \frac{4}{3}(-6)+5

-6\leq-3 ----> is true

Inequality B

-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

-6\leq \frac{4}{3}(12)+5

-6\leq21 ----> is true

Inequality B

-6\geq -\frac{5}{2}(12)+5

-6\geq -25 ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

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Jim is ranked third best in his class of 50 students.
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