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2 years ago

Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."

Mathematics

1 answer:

Genrish500 [490]2 years ago

4 0

Answer:

Translation: 2x/7 = 20

Step-by-step explanation:

When we listen to the word "quotient", it means the solution to a division problem.
An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
The number "7" is in the denominator because it came after the 2x in the statement.
The word "is" represents an equal sign.
The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation.

Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. 

$BrainiacUser1357$

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3 years ago

Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260 is what percent of 340

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(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

76.4705882353=x

x=76.4705882353

now we have:

260 is 76.4705882353% of 340

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