Answer:
1 solution
Step-by-step explanation:
2y=4
y=2
x+2=4
x=2
There is only 1 solution in the set
|-24| is asking for the absolute value of -24. Absolute value is how far the number is to 0. So the absolute value of |-24| would be 24 since it is 24 spaces from 0.
4 1/4 lbs of onions = 1llb
so there are 4 x 3 servings = 12 servings in 1 lb
6 servings in 1/2 lb
total of 12+6= 18 servings
you can also use ratio and proportion
converted to decimals to eliminate fractions
,25/3= 1.5/x
cross multiply
.25x= 4.5
x=18
hope this helps
let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%20%5Ccline%7B1-1%7D%20r%3D8%5C%5C%20h%3Dx%5C%5C%20V%3D768%5Cpi%20%5Cend%7Bcases%7D%5Cimplies%20768%5Cpi%20%3D%5Cpi%20%288%29%5E2%28x%29%5Cimplies%20768%5Cpi%20%3D64%5Cpi%20x%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B768%5Cpi%20%7D%7B64%5Cpi%20%7D%3Dx%5Cimplies%2012%3Dx)