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Oksana_A [137]
2 years ago
9

26. ZT. Q R (9x - 17) (4x + 28) T S

Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0
<h3>Solution for 9x-17=4x+28 equation:</h3>

Simplifying

9x + -17 = 4x + 28

Reorder the terms:

-17 + 9x = 4x + 28

Reorder the terms:

-17 + 9x = 28 + 4x

Solving

-17 + 9x = 28 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-17 + 9x + -4x = 28 + 4x + -4x

Combine like terms: 9x + -4x = 5x

-17 + 5x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0

-17 + 5x = 28 + 0

-17 + 5x = 28

Add '17' to each side of the equation.

-17 + 17 + 5x = 28 + 17

Combine like terms: -17 + 17 = 0

0 + 5x = 28 + 17

5x = 28 + 17

Combine like terms: 28 + 17 = 45

5x = 45

Divide each side by '5'.

x = 9

Simplifying

x = 9

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Answer:

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Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

2*2=4

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

1\frac{2}{3}=\frac{5}{3}

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Now, we will multiply both fractions as:

\frac{5}{3}\times \frac{9}{5}

\frac{1}{3}\times \frac{9}{1}

\frac{9}{3}\Rightarrow 3

Therefore, the 2nd debate was 3 hours long.

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Answer:

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Step-by-step explanation:

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