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Rudik [331]
3 years ago
8

18. Find the value of x that makes the equation true.

Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Step-by-step explanation:

✧ \large{ \tt{ \:  \frac{1}{2} x + 2 =  \frac{3}{2} x - 6}}

We need to get rid of the fractions. Notice that there are 4 terms in the equation. Multiply both sides of the equation by 2 to get rid of the fractions. Multiply by 2 because 2 is the denominator.

⤑ \large{ \tt{2( \frac{1}{2} x + 2) = 2( \frac{3}{2} x - 6)}}

⤑ \large{ \tt{x + 4 = 3x - 12}}

Subtract 4 from both sides in order to isolate the variable on the left.

⤑ \large{ \tt{x + 4 - 4 = 3x - 12 - 4}}

⤑\large{  \tt{x = 3x - 16}}

Move 3x to left hand side and change it's sign

⤑\large {\tt{x - 3x  =  - 16}}

Subtract 3x from 1x

⤑ \large{ \tt{ - 2x =  - 16}}

Divide both sides of the equation by -2

⤑ \large{ \tt{ \frac{ - 2x}{ - 2}  =  \frac{ - 16}{ - 2}}}

⤑ \large{ \tt{x = 8}}

\boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer :  \boxed{ \underline{ \tt{x = 8}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☞ \underline{ \underline{ \mathfrak{Carry \:On \:Learning}}}!!▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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483.6 is what percent of 180
liraira [26]

Answer:

We assume, that the number 180 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 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

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%=180/483.6

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

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

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