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3 years ago

What is the following quotient? ^3 square root 60 over ^3 square root of 20

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

The Given Expression is

$\frac{60^{\frac{1}{3}}}{20^{\frac{1}{3}}}\\\\=\frac{(2*2*3*5)^{\frac{1}{3}}}{(2*2*5)^{\frac{1}{3}}}\\\\={\text{Cancelling 2*2*5 from numerator and denominator}}\\\\=3^{\frac{1}{3}}$

Factor of 60 and 20 are

60=2*2*3*5

20=2*2*5

Option A: $3^{\frac{1}{3}}$

ohaa [14]3 years ago

4 0

The answer is the first one

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Which proportion can be used to show that the slope of AC is equal to the slope of CE?

Gnesinka [82]

Slope is given by the expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

We can equal both slopes of mAC and mCE

$\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\ \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}$

Answer is B.

5 0

1 year ago

Ruby conducted a survey and found that 5/6 of her classmates have a pet and 2/3 of them are dogs what fraction of her classmates

lina2011 [118]

This is how I would solve it, I would act as if there were 36 people in the class.
36÷6=6×5=30
30÷3=10×2=20
20/36=10/18=5/9
You could also try another number such as 24;
24×(5÷6)=20
20×(2/3)=13.3(3 repeating)
13.333/24=5/9
5/9 people have dogs.
Tell me if this helps.

7 0

3 years ago

What is the solution to the equation?<br><br> 9.1k = 63.7

Natalija [7]

Answer:

k = 7

Step-by-step explanation:

9.1k = 63.7

/9.1 /9.1

k = 7

Check your answer:

9.1k = 63.7

9.1 (7) = 63.7

63.7 = 63.7

This statement is true.

Hope this helps!

4 0

2 years ago

Read 2 more answers

approximate each irrational number to the nearest hundredth without using a calculator square root of 118 and 319

Strike441 [17]

Answer:

$\sqrt{118}\approx 10.86$

$\sqrt{319}\approx 17.86$

Step-by-step explanation:

Consider the provided number.

We need to find the approximate value of $\sqrt{118}$ to the nearest hundredth.

First find two perfect squares that the irrational number falls between.

$100$

118 is lying between 100 and 121, therefore the square root value of 118 will be somewhere between 10 and 11.

$\sqrt{100}$

$10$

118 is closer to 121 as compare to 100.

Therefore, $\sqrt{118}\approx 10.86$

Consider the number $\sqrt{319}$

First find two perfect squares that the irrational number falls between.

$289$

319 is lying between 289 and 324, therefore the square root value of 319 will be somewhere between 17 and 18.

$\sqrt{289}$

$17$

319 is closer to 324 as compare to 289.

Therefore, $\sqrt{319}\approx 17.86$

8 0

3 years ago

Using elimination to solve the system 2x + y = 8 and x + y = 4, which of the following could be the first step?

wolverine [178]

Answer: the option A.

The elimination method consist is adding the two equations in a way that one variable be eliminated..

In order to do that you might have to manipulate on of the equations prior to add the two equations.

In this case, ff you multiply the second equation by - 1 you will get

- x - y = - 4

which you can add to the first equation

2x + y = 8 to eliminate the y.

4 0

3 years ago