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Kisachek [45]
3 years ago
12

How do you find the square root of a fraction? For example: what’s the square root of 115/100

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

Take the square roots of the numerator and denominator separately.

Explanation:

y = \sqrt{\frac{115 }{100}}

y = \frac{\sqrt{115} }{10}

===============

If your instructor wants a decimal answer, take the square root of the numerator.

\frac{\sqrt{115} }{10} = \frac{10.72}{10}

\frac{\sqrt{115} }{10} = 1.072

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3 years ago
lilli has $3.65 comprised of quarters and dimes floating on the bottom of her bag she has five more dimes than twice her quarter
marta [7]

Answer:

= 3.65.

Step-by-step explanation:

You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.

D + Q = 23

You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:

0.10*D + 0.25*Q = 3.65

That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.

So you have a system of linear equations:

D + Q = 23

0.10D + 0.25Q = 3.65

I'm going to multiply the bottom row by 100 to clear the decimals.

D + Q = 23

10D + 25Q = 365

Now I can multiply the top row by -10 to eliminate the D terms

-10D - 10Q = -230

10D + 25Q = 365

________________

0D + 15Q = 135

15Q = 135

Q = 9

Tom has 9 quarters.

If D + Q = 23, and Q = 9, then:

D + 9 = 23

D = 14

Tom has 14 dimes.

Always good to double check:

9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.

2.25 + 1.40

8 0
3 years ago
A cheetah can go from a state of testing to running at 20 m/s in just 2 seconds. What is the cheetahs average acceleration?
Vlad1618 [11]
20/2=10 because the formula for acceleration is velocity or speed (20) divided by time (2)
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
What are the solutions of the system 7x + 3y = -3 and y = -2 x ?
Alexxandr [17]
7x+3y=-3\\
y=-2x\\
So \\
7x+3(-2x)=-3
7x-6x=-3⇔x=-3\\
y=-2x=6\\
So\  (x,y)=(-3,6).
4 0
3 years ago
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