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2 years ago

. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

Mathematics

2 answers:

Paul [167]2 years ago

6 0

If Kim and her sisters age equal 36 an equation would be k+s=36

Alexxandr [17]2 years ago

3 0

K = kims age, s = her sisters age

k = 2s
k + s = 36

2s + s = 36 <== ur equation
3s = 36
s = 36/3
s = 12 <== the sister is 12

k = 2s
k = 2(12)
k = 24 <== Kim is 24

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2 years ago

**A rock dropped from a 100 foot tower.

mars1129 [50]

Answer:

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Step-by-step explanation:

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3 years ago

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

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3 years ago

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monitta

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

A company recently downsized its number of employees by 30%. If there are still 70 employees, how many employees were there pr

wolverine [178]

Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.

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10 months ago