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allochka39001 [22]
3 years ago
6

An exterminator estimates that the house has approximately 64,000 ants. After treating the house with repellent the ant populati

on decreases at a rate of 8% per hour. Which equation represents the situation where Y is the number of ants remaining after X hours.
A. Y=64000 (0.2)X

B. Y=6400 (0.8)X

C. Y=6400 (0.92)X

D. Y= 6400 (1.08)X
Mathematics
1 answer:
satela [25.4K]3 years ago
3 0
C is the correct answer
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7. Jerry has 23 coins in nickels, n, and dimes, d. He
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Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

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1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

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Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

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(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

7 0
3 years ago
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Answer:

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some good way to remember these translations and orders are...
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BONUS FACT:
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3 years ago
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Diano4ka-milaya [45]

Answer:

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c² =a² + b²

c² = 10² + 24²

c² = 100 + 576

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√c² = √676

c = 26       Carla lives 26 miles from the Library.

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