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horrorfan [7]
3 years ago
12

When Lydia runs in a cross country meet, her arm swings rhythmically according to the model

Mathematics
1 answer:
anygoal [31]3 years ago
4 0
I can help you with this 

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What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
rjkz [21]
Hello!

Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>

(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>

1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>

(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>

1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>

1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>

−<span>3x</span></span>+3</span>=<span>−9</span></span>

Step 3: Subtract 3 from both sides.<span><span><span><span>

−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>

−<span>3x</span></span>=<span>−12</span></span>

Step 4: Divide both sides by -3.<span><span><span>

−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>

x=<span>4

Hope this helps! Cheerio, and have a lovely day!</span></span>
7 0
3 years ago
Read 2 more answers
What is 13.989 to the nearest hundredth place?
Rashid [163]

Answer:

13.99

Step-by-step explanation:

So the hundredths place is the second digit after the decimal point in this case it is 8.

So the number after it is 9 so we round up.

The number after 8 is 9

So 13.989 to the nearest hundredth place is 13.99

3 0
3 years ago
All currently has $25. He is going to start saving $5 every week
sergij07 [2.7K]

Answer:

I believe the answer is b  

Step-by-step explanation: I think the answer is b because he gets $5 every week and he already has $25 the only thing we dont know is the weeks and you multiply 5 by the weeks so, 5(how much he gets each week) times x (The amount of weeks) plus 25(the amount he already has) equals y(the amount of everything put together)

5 0
3 years ago
For all values of x and y, which expression is equivalent to 8x + 6y?
elixir [45]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
The domain for the graph (in interval notation) is
Ksenya-84 [330]

Answer:

Domain: [-3, 1]

Step-by-step explanation:

Doman is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:

[-3, 1] or -3 ≤ x ≤ 1

6 0
4 years ago
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