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3 years ago

One third of a number is 15 less than five sixths of the number. Find the number.

Mathematics

2 answers:

leva [86]3 years ago

4 0

N/3=5n/6 -15

2n/6=5n/6-90/6

2n=5n-90

3n=90

n=30

levacccp [35]3 years ago

3 0

1/3(x) = 5/6(x) - 15
2/6(x) = 5/6(x) - 15
15 = 1/2(x)
x=30

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A number plus 16 times its reciprocal equals 4. Find all possible values for the number.(My question was not answered correctly

Gwar [14]

Answer:

-8±√17 and -8±6√2

Step-by-step explanation:

1. x+16/x=4, x^2+16-4x=0. x=-8±√17

2. x+16/x=8, x^2+16-8=0. x=-8±6√2

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1 year ago

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:

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

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

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

7 0

3 years ago

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prohojiy [21]

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3 years ago

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kramer

Answer:

Step-by-step explanation:

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2 years ago

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Arte-miy333 [17]

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

9*10 90

------ = ------------

10*10 100

9/10 = 90/100

The decimal form for 9/10 is .9 and for 90/100 is .90

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3 years ago