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2 years ago

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

1 answer:

4 0

Given:
limit of $36 and 20 pounds of food in his back pack
pasta : 1 pound package @ $1
pasta sauce: 1.5 pound jar @ $3

x = number of pasta package
y = number of jar of pasta sauce

Constraint on the weight:
x + 1.5y <u><</u> 20

Constraint on the cost of purchase.
x + 3y <u><</u> 36

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1 year ago

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Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot

Maurinko [17]

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

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3 years ago

Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?

ella [17]

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

$2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \: 3x - 10 = \frac{52}{2} \\ \therefore \: 3x - 10 = 26\\ \therefore \: 3x = 26 + 10\\ \therefore \: 3x = 36 \\ \therefore \: x = \frac{36}{3} \\ \therefore \: x = 12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}$

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2 years ago