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castortr0y [4]
2 years ago
8

How do you solve 5(N+4)/3 = N-8

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

n=-22

Step-by-step explanation:

rewrite the equation as <u>5(n+4)</u><u> </u>= n-8

3

now distribute the 5 through the parentheses <u>5n</u><u>+</u><u>2</u><u>0</u><u> </u>= n-8

3

multiply each side by 3 5n+20=3n - 24

subrtact 3n from both sides 5n+20=3n - 24

-3n -3n

2n+20=-24

then subtract 20 from each side 2n +20=-24

-20 -20

Giving you 2n=-44 then divide both sides by 2

<u>2n</u>=<u>-44</u><u> </u>Giving you n=-22

2 2

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A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati
Nuetrik [128]
<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

<h2>27x + 50 = y</h2>

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

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216 + 50 = y

<h2>y = 266</h2>

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

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