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3 years ago

If x varies inversely as y, and x=6 when y=72, find x when y=36

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

Answer:

Step-by-step explanation:

x = k/y Multiply each side by y

k = xy Insert values

= 6 × 72

= 432

x = 432/y Let y = 36

= 432/36

x = 12

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Find the measure of Angle 8

Nataliya [291]

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Angle 8 = 99°

Since they form corresponding Angle pair ~

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2 years ago

Place parentheses in these expressions 12×2+2^3;value:120

telo118 [61]

Answer:

12x(2x2^3)=120

Step-by-step explanation:

12x2+2^3=120

(12x2)+2^3=32

12x(2+2^3)=?

12x(2+8)=?

12x10=120

6 0

3 years ago

PLEASE HELP ASAP!!!!!!!! Solve the Equation x–3x(1–12x)=11–(5–6x)(6x+5)

GuDViN [60]

Looooking for x so the answer is
X=7

7 0

3 years ago

Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

As she spent 1/9 of the remaining money on a shirt.

Money spent on shirt = $\frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}$

As he still had $\frac{4}{7}$ of his money left:-

Money left = $\frac{4}{7}\ of\ his\ money=\frac{4x}{7}$

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

$\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\$

$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

3 0

4 years ago

Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?

Anuta_ua [19.1K]

The correct statement is that the range of the data is 9

<h3>Range of a data</h3>

The formula for calculating the range of data is expressed as:

Range = Highest value - Lowest value

From the given data

Highest value = 20
Lowest value = 11

Substituting into the formula

Range = 20 - 11

Range = 9

Hence the correct statement is that the range of the data is 9

Learn more on range here: brainly.com/question/2264373

6 0

3 years ago