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>
Answer:-25
Step-by-step explanation:
simplify
To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. 
Multiply the numerators and the denominators separately. 
Simplify by dividing both sides of the equation by 
. 
Answer:
<em>(a) 3 inches
</em>
<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>
Step-by-step explanation:
<u>Scaling
</u>
We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.
(a)
Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is
6 feet*1 inch/2 feet = 3 inches
(b)
The width of the model is 5 inches, keeping the same scale it means the real length is
5 inches * 2 feet / 1 inch = 10 feet
The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper
