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mel-nik [20]
3 years ago
9

What number gives a result of -4 when 9 is subtracted from the quotient of the number and 5?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0
Answer:

25

Step by step:

1. prepare the equation

-4 = x/5 - 9

2. add 9 to both sides

-4 = x/5 - 9
+9 +9
5 = x/5

3. multiply both sides by 5

5 = x/5
(5) (5)
25 = x

4. x=25

Hope this helps
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Read 2 more answers
It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

y\ \alpha\ \frac{1}{x^2}

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

y\ = \ \frac{k}{x^2}

Where k is the constant of proportionality

When x decreased by 50%

Y = \frac{k}{(x - 0.5x)^2}

Y = \frac{k}{(0.5x)^2}

Y = \frac{k}{0.25x^2}

Expand

Y = \frac{1}{0.25} * \frac{k}{x^2}

Substitute \frac{k}{x^2} for y

Y = \frac{1}{0.25} * y

Y = 4 * y

Y = 4 y

The percentage change is then calculated as:

\%Change = \frac{Y - y}{y} * 100\%

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\%Change = 3 * 100\%

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<em>The percentage in y is 300%</em>

7 0
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