C. multiplication (the 8 x 9 within the parenthesis)
Answer:
x=4.5
Step-by-step explanation:
Given the equation
, we simplify as:
![\frac{3}{5}(30x-15)=72\\\\18x-9=72](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2830x-15%29%3D72%5C%5C%5C%5C18x-9%3D72)
#We further simplify as multiples of 9(divide by 9 to solve for x):
![18x-9=72\\\\2x-1=8\\\\2x=9\\\\x=4.5](https://tex.z-dn.net/?f=18x-9%3D72%5C%5C%5C%5C2x-1%3D8%5C%5C%5C%5C2x%3D9%5C%5C%5C%5Cx%3D4.5)
Hence, from our simplification the equation has the same value as x=4.5
Answer: <em>one solution.</em>
Step-by-step explanation:
![\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%20x-4%3D12-2x%5C%5C%5C%5C%5Cdfrac%7B2%7D%7B3%7D%20x%2B2x%3D12%2B4%5C%5C%5C%5C2%5Cdfrac%7B2%7D%7B3%7D%20x%3D16%5C%5C%5C%5C%5Cdfrac%7B8%7D%7B3%7D%20x%3D16%5C%5C%5C%5C8x%3D16%20%5Ccdot%203%5C%5C%5C%5C8x%3D48%5C%5C%5C%5Cx%3D%5Cdfrac%7B48%7D%7B8%7D%20%3D6)
<em>This equation has one solution: x = 6.</em>
Answer:
C.
Step-by-step explanation:
![1.5^2\pi =2.25\pi](https://tex.z-dn.net/?f=1.5%5E2%5Cpi%20%3D2.25%5Cpi)