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MakcuM [25]
3 years ago
12

Explain how the Quotient of Powers Property was used to simplify this expression.

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer:

A- By simplifying 25 to 52 to make both powers base five and subtracting the exponents

Step-by-step explanation:

\dfrac{5^4}{25} = 5^2

Change 25 into 5².

\dfrac{5^4}{5^2} = 5^2

Apply the Quotient of Powers Property. (Subtract the exponents.)

5^{4 - 2} = 5^2

5^{2} = 5^2

Answer: A- By simplifying 25 to 52 to make both powers base five and subtracting the exponents

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Gabby has a bag containing 36 nickels and quarters. The total value of the coins is $5. How many quarters does gabby have?
olganol [36]

There are 20 nickels and 16 quarters

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = 0.05 dollar

1 quarter = 0.25 dollar

<em><u>Gabby has a bag containing 36 nickels and quarters</u></em>

Therefore,

n + q = 36

n = 36 - q ------- eqn 1

<em><u>The total value of the coins is $5</u></em>

<em><u>Thus we frame a equation as:</u></em>

number of nickels x 1 nickel + number of quarters x 1 quarter = 5

n \times 0.05 + q \times 0.25 = 5

0.05n + 0.25q = 5 ------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

0.05(36 - q) + 0.25q = 5

1.8 - 0.05q + 0.25q = 5

0.2q = 3.2

q = 16

<em><u>Substitute q = 16 in eqn 1</u></em>

n = 36 - 16

n = 20

Thus there are 20 nickels and 16 quarters

8 0
3 years ago
The difference between the measures of two complementary angles is 62degrees. determine the measures of the two angles.
viva [34]
The answer is 76 & 14, hope this helps.
6 0
3 years ago
For every 6 kg of a child's weight, pediatricians prescribe 7 mg of fever reducer. If Greg weighs 42 kg, how many milligrams
olya-2409 [2.1K]

Answer:

49mg

Step-by-step explanation:

let's call every 7 mg of fever reducer a "dose"

Divide the weight of Greg by the weight per "dose"

42/6 = 7 doses

Each "dose" is 7mg. Multiply the number of doses by 7mg.

7 dose X 7mg = 49mg

Therefore, if Greg weighs 42kg, the pediatrician will prescribe 49mg of fever reducer.

4 0
4 years ago
Read 2 more answers
A city has 20 radio stations including 5 college stations. What is the probablility that a randomly chosen radio station in this
densk [106]

Answer:

1/4

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

the probability that a randomly chosen radio station in this city is a college radio station = number of college stations / total number of city radio stations

= 5/20

To transform to the simplest form. divide both the numerator and the denominator by 5

= 1/4

5 0
3 years ago
how much is 1000 + 2000 - 600 + 2000000 -4000 ÷ 900 tell me the answer. please i need it right now ​
blsea [12.9K]

Answer:

2,002,395.5555556

Step-by-step explanation:

This is the answer to this question

please let me know

6 0
3 years ago
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