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IRINA_888 [86]
2 years ago
9

Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of

the shorter string, which diagram best represents this scenario?
Mathematics
1 answer:
9966 [12]2 years ago
5 0

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let s represent the length of the shorter string.

One piece is 12 inches longer than the other

Length of longer string = s + 12

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

s = 18

Length of longer string = 18 + 12 = 30

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

Find out more on equation at: brainly.com/question/2972832

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Answer:

  • Cost is Increasing at a rate of 20,000 per week
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Step-by-step explanation:

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\frac{dx}{dt} =500\\ When  Production output x=4000

<u />

<u>Change in Cost</u>

Cost, C=90000+40x

\frac{dC}{dt} =40\frac{dx}{dt}=40*500\\\frac{dC}{dt}=20,000

<u>Change in Revenue</u>

\frac{dR}{dt} =200\frac{dx}{dt}-\frac{x}{10}\frac{dx}{dt}\\=200*500-\frac{4000}{10}*500\\\frac{dR}{dt} =-100,000

<u>Change in Profit</u>

\frac{dP}{dt} =\frac{dR}{dt}-\frac{dC}{dt}\\=-100,000-20,000\\\frac{dP}{dt}=-120,000

Therefore, when production output is 4000 and increasing at a rate of 500 calculators per week,

  • Cost is Increasing at a rate of 20,000 per week
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  • Profit is decreasing at a rate of 120,000 per week
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Answer:

Step-by-step explanation:

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