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Artyom0805 [142]
3 years ago
9

Solve each formula for the specified variable​

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

\frac{A-2wh}{2(w+h)}=l

Step-by-step explanation:

We have to find the formula for the value of 'l'.

So, we will isolate 'l' on one side of the formula.

A = 2lw + 2lh + 2wh

A = 2l(w + h) + 2wh

A - 2wh = 2l(w + h) + 2wh - 2wh

A - 2wh = 2l(w + h)

\frac{A-2wh}{2(w+h)}=\frac{2l(w+h)}{2(w+h)}

\frac{A-2wh}{2(w+h)}=l

Therefore, formula for 'l' will be,

\frac{A-2wh}{2(w+h)}=l

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A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
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Answer: The population will be about 150 million in the year 2016.

First, let's start by using the given equation. Fill in the values that you know and solve for the missing piece.

Our equation is:

141 = 136e^(9k)    I used 9 because 2000 is 9 years past 1991.

(141/136) = e^9k   Divide both sides by 136

ln (141/138) = 9k    Take the natural log of both sides, the e is removed.

0.004 = k    Find the natural log of 141/136 and divide it by 9.

Now, we have a new equation. Just plug in 25 for x and you will get 150. We used 26 because 2016 is 25 years past the starting year of 1991.
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3 years ago
Molly is making Strawberry infused water for each ounce of strawberry juice she uses three times as many ounces of water she wan
snow_tiger [21]

Answer:

The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

Step-by-step explanation:

Let the amount of Strawberry juice in ounces be 'j'

Let the amount of water in ounce be 'w'

Given:

For each ounce of strawberry juice she uses three times as many ounces of water.

It means that amount of water in ounce is 3 times of amount of strawberry juice in ounce.

framing the equation we get;

w=3j

Now we need how many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry infused water.

We know that Total Strawberry infused water is equal to sum of amount of Strawberry juice in ounces and the amount of water in ounces

Framing in equation form we get;

j+w=64

But we know w=3j

hence,

j+3j= 64\\\\4j=64\\\\j=\frac{64}{4} = 16 \ ounces

Hence amount of Strawberry juice = 16 ounces

Amount of water = 3j = 3\times16 =48 \ ounces

Hence The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

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YRUTUYTHDFGFD

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Answer:

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3 years ago
Answer the questions below
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I think this is what you're looking if not my apologies!

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