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netineya [11]
3 years ago
5

4.5(8-x) + 36=102-2.5(3x+24) what’s x?

Mathematics
2 answers:
zmey [24]3 years ago
4 0
First, group your like terms:
30-4.5x+36=102-7.5x-60
30+36-4.5x=102-60-7.5x
66-4.5x=42-7.5x
Second, add 7.5x on both sides:
66+3x=42
Next, subract 66 on both sides:
3x=-24
Now, divide 3 on both sides:
-24/3=-8
x=-8
maxonik [38]3 years ago
3 0
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
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Gnesinka [82]

Answer:

Width = x + 3

Step-by-step explanation:

The formula for the area of a rectangle is:  A = LW, where A=area, L = length and W = width.  In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length.  Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1).  With the area: 2x² + 8x + 6, you can first factor out the 2 to get:  2(x² + 4x + 3).  Next, you can factor the polynomial: 2(x + 3)(x + 1).  Lastly, in order to find the width, you divide the area by the length:

\frac{2(x + 3)(x + 1)}{2(x+1)}

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

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3 years ago
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Irina18 [472]

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2 years ago
3.9x - 0.7 = 8.66, so what does x equal?
scoundrel [369]

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Step-by-step explanation:

brainliest pls

6 0
2 years ago
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Can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points​
gavmur [86]

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18, 16, 19, 15, 17

<u><em>19</em></u>,18,17,16,<u><em>15 </em></u>

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3 years ago
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timama [110]
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Hope This Helped! :3
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