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Tasya [4]
3 years ago
5

Simplify the radical expression by rationalizing the denominator.

Mathematics
1 answer:
artcher [175]3 years ago
4 0
\frac{4}{\sqrt{21}} = \frac{4}{\sqrt{21}} \times \frac{\sqrt{21}}{\sqrt{21}} =\boxed{ \frac{4\sqrt{21}}{21}}
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Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30
Jlenok [28]

Answer:

Each boy recieved $25.25 each

Step-by-step explanation:

First, you add up all the money the 3 boys spent.

15+15+15=45

Then you add the sum of the equation to the amount all the boys had afterward.

45+30.75=75.75

Finally, you divide that product to 3 boys.

75.75/3=25.25

Therfore the answer is $25.25 each.      

6 0
3 years ago
The area of a rectangle is 40 cm2.<br> If its length is 10 cm, what is its width?
astra-53 [7]

Answer:

Width = 4 cm

Step-by-step explanation:

The formula for area of a rectangle is length x width. You have the length (10), leaving you with this equation.

10 x ? = 40

Solve for x, or in other words, divide 40 by 10. This gives you 4. This means that 10 x 4 equals 40 cm^2

3 0
3 years ago
What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.
sammy [17]

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

4 0
3 years ago
Help please help me with this. ​
boyakko [2]

\pi r^2h

\pi \times 7^2 \times 7

\pi \times 7^3

\displaystyle 343\pi

3 0
3 years ago
Read 2 more answers
Traveling at 65 miles per hour how long will it take me to drive 310 miles
ycow [4]
Travel at the speeds of 65 miles per hour to drive the distance of 310 miles (if the speed in which the person in question is traveling at the same speed) =
310 divided  by 65 = \frac{310}{65}
= 4 and \frac{10}{13} hours 
since it is "traveled distance = speed multiplied by time it takes 

4 0
3 years ago
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