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qaws [65]
3 years ago
7

Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

21\2=3x=7/2=x

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Sholpan [36]

Answer:

x = 6.00 $/kg ----> almond

y = 3.5 $/kg ------> nut

Step-by-step explanation:

To find the price per kg of each product you first write the algebraic equations for the given relations:

x : price per kg of almond

y: price per kg of nut

Then, you have:

5x + 4y = 44.00      (1)

8x + 6y = 69.00     (2)

By using substitution you have from (1):

y = (44.00-5x)/(4) = 11.00 - (5/4)x

you replace this expression for y into (2):

8x+6[11.00-(5/4)x] = 69.00

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8x-(15/2)x = 69.00 - 66.00

(1/2)x = 3.00

x = 6.00 $/kg ----> almond

And for nut:

y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg

y = 3.5 $/kg ------> nut

5 0
3 years ago
When the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels a
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Answer:

x = 2

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Step-by-step explanation:

The function given is:

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In this fraction, the bottom part is the denominator. We need to set it equal to 0 and solve for 2 values of x.

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x = 2, 3

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Answer:

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Step-by-step explanation:

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