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notka56 [123]
3 years ago
12

Solve the equation. 44 – 1 + 7q = 106

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

Let's solve your equation step-by-step.<span><span><span> 44−1</span>+<span>7q</span></span>=106</span>

Step 1: Simplify both sides of the equation.<span><span><span> 44−1</span>+<span>7q</span></span>=106</span><span>
</span><span>Simplify: (Show steps) </span><span><span><span><span>44+</span>−1</span>+<span>7q</span></span>=106</span><span><span><span>(<span>7q</span>)</span>+<span>(<span>44+<span>−1</span></span>)</span></span>=106 </span>(Combine Like Terms)<span><span><span>7q</span>+43</span>=106</span><span><span><span>7q</span>+43</span>=106</span>

Step 2: Subtract 43 from both sides.<span><span><span><span>7q</span>+43</span>−43</span>=<span>106−43</span></span><span><span>7q</span>=63</span>

Step 3: Divide both sides by 7.<span><span><span>‌<span><span>7q</span>7</span></span>‌</span>=<span><span>‌<span>637</span></span>‌</span></span>

<span><span>
</span></span>

<span><span /></span><span>q=<span>9</span></span>

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Answer:

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Step-by-step explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...\frac{\Delta1side}{\Delta1base} =\frac{\Delta2side}{\Delta2base} but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

\frac{4x}{15}=\frac{3x+1}{12}

Now we cross multiply and solve the equation...

48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5

So the value of x is 5.

7 0
3 years ago
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A teacher is paid an annual salary of $37.165. What is her gross monthly salary.
MAXImum [283]

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3.01

Step-by-step explanation:

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

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Guys, please help me with this math problem. Thank you so much.
SashulF [63]
(9-4) + 3•8 = 29

Explanation

First you need to apply the PEMDAS rule

Parentheses
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Division
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So when solving the problem you first have to solve what’s in Parentheses first. So (9-4) which would equal 5

Next, according to the PEMDAS rule you’d have to do multiplication next. So 3•8 is equal to 24

And finally, the last step is Addition. After you’ve done the Parentheses and Multiplication you have to add up your answers. 5+24 would be 29

Answer= 29
4 0
3 years ago
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