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3 years ago

Which expression is equivalent to x ^-5/3

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

Answer:

The second answer choice

Move

x ^-5 to the denominator

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If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)

cricket20 [7]

Answer:

Area of the circle = $113.04\;units^2$

Step-by-step explanation:

Circumference = $37.68\;units$

Circumference of the circle = $2\times \pi \times r$

As,

$\pi =\dfrac{22}{7}=3.14$

$37.68=2\times \pi \times r\\\\37.68=2\times 3.14 \times r\\\\37.68=6.28\times r\\\\r=\dfrac{37.68}{6.28} \\\\r=6\;units$

Area of a circle = $\pi \times r^2$

$=3.14\times (6\times 6)\\\\=3.14\times 36\\\\=113.04\;units^2$

3 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 = $x-175$

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

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

Write each number in standard form 6.7x10 to the 1 power

e-lub [12.9K]

<h2>Answer: 67</h2>

Step-by-step explanation: 6.7 x 10^1 = 67

8 0

3 years ago

Is Joan read 74 pages in 4 hours how long will it take her to read 240 pages

kogti [31]

Answer:

It will take her 13 hours

5 0

3 years ago

A tree is 6 feet 7 inches tall. How tall is it in inches?

matrenka [14]

Answer:

79 inches

Step-by-step explanation:

1 foot equals 12 inches

6 feet = 6*12 = 72 inches

72+7=79

79 inches

6 0

3 years ago