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Romashka-Z-Leto [24]
3 years ago
15

What is the value of x in the equation -2/3x + 9 = 4/3x - 3 ?​

Mathematics
2 answers:
Ainat [17]3 years ago
6 0

Answer:

x = 1/6

Step-by-step explanation:

hope it helps.

x= 1/6

ipn [44]3 years ago
4 0

Answer: 6

Step-by-step explanation:

-\frac{2}{3}x+9=\frac{4}{3}x-3

Subtract \frac{4}{3}x from both sides to leave variables on the left.

-\frac{4}{3}x-\frac{2}{3}x+9=\frac{4}{3}x-3-\frac{4}{3}x

-\frac{4}{3}x-\frac{2}{3}x+9=-3

Now subtract 9 from both sides to isolate independent variables on the right.

-\frac{4}{3}x-\frac{2}{3}x+9-9=-3-9

-\frac{4}{3}x-\frac{2}{3}x=-3-9

Combine like terms;

-\frac{6}{3}x=-12

Simplify;

-2x=-12

To completely isolate x, divide by -2

\frac{-2x}{-2}=\frac{-12}{-2}

x=6

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Susie ran a race. She ran 55 miles an hour, and the race took her tt hours to complete. How long was the race?
Novay_Z [31]

Answer:

Formula for speed is given by;

\text{Speed} = \frac{\text{Distance}}{\text{Time}}

As per the given statement:

Susie ran a race. She ran 55 miles an hour, and the race took her t hours to complete.

⇒Speed = 55 miles an hour

Time = t hour

Substitute the given values in the given formula we have;

55 = \frac{\text{Distance}}{t}

Multiply t both sides we get;

\text{Distance} = 5t miles.

Therefore, 5t miles long was the race.

8 0
3 years ago
Two triangles each have angles that measure 40° and 37° and a 5 cm side between those two angles are the two triangles congruent
tiny-mole [99]
Yes they are congruent since both have the same side angles and 5 cm side.
8 0
2 years ago
what is 2 5/8 as a percent (can be written as a mixed number or decimal rounded to the nearest tenth)
Leya [2.2K]

Answer:2.30

Step-by-step explanation:

7 0
2 years ago
5 ft is ____ % of 37 1 2 ft; 37 1 2 ft is ____ % of 5 ft
hichkok12 [17]

Answer:

The answer is:

5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.

Step-by-step explanation:

Given:

5 ft is ____ % of 37 1 2 ft.

Now, to find the __ :

Let __ be x.

So, 5 ft is x\% of 37 1/2

5=x\% of 37\frac{1}{2}

⇒ 5=\frac{x}{100} \times \frac{75}{2}

⇒ 5=\frac{75x}{200}

Multiplying both sides by 200 we get:

⇒ 1000=75x

Dividing both sides by 75 we get:

⇒ 13.33=x

⇒ x=13.33\%.

Now, 37 1/2 ft is x% of 5 ft.

\frac{75}{2} =x\%\ of\ 5

\frac{75}{2}=\frac{x}{100}\times 5

\frac{75}{2} =\frac{5x}{100}

Multiplying both sides by 100 we get:

\frac{7500}{2} =5x

Dividing both sides by 5 we get:

750=x

x=750\%

Therefore, the answer is 5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.

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2 years ago
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