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alexira [117]
3 years ago
6

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total

of $65 for membership and gym use. If the equation 10+5x=65 models the situation, how many times did he use the gym last month?
11
12
13
15
Mathematics
2 answers:
Agata [3.3K]3 years ago
7 0
Subtract 10 from both sides of the equation to get:
5x=55
then, divide both sides by 5 to get:
x=11
so he used the gym 11 times last month
Licemer1 [7]3 years ago
5 0
11, because 65-10 is 55.    55 divided by 5 is 11

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Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

x^4(x^8y^4-y^1^2)

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

x^4y^4(x^8-y^8)

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What is the percent of change from 300,000 to 30,000​
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The giant panda population in China is increasing at a rate of 1.5% each year. There are 1864 giant panda in 2014. Write a funct
guajiro [1.7K]

Given:

Giant panda population in 2014 = 1864

The giant panda population in China is increasing at a rate of 1.5% each year.

To find:

The function that models the panda population since 2014.

Solution:

Since population of giant panda is increasing, therefore the function is the exponential growth model.

The general exponential growth model is:

P(t)=P_0(1+r)^t

Where, P_0 is the initial population, r is the growth rate in decimal and t is the time period.

Putting P_0=1864,r=0.015, we get

P(t)=1864(1+0.015)^t

P(t)=1864(1.015)^t

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Answer:

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Step-by-step explanation:

1) Simplify 6x × 2y to to 12xy.

12xy - 3xy - 24xy \times 2 + 12 {y}^{2}

2) Simplify 24xy × 2 to 48xy.

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3) Collect like terms.

(12xy - 3xy - 48xy) + 12 {y}^{2}

4) Simplify.

- 39xy + 12 {y}^{2}

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3 years ago
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