Step-by-step explanation:
3 x 6 = 6 + 6 + 6
4 x 6 = 6 + 6 + 6 + 6
Answer:
A=24, B=40, P=60
Step-by-step explanation:
<em>given: </em>
<em>P+A+B=124</em>
<em>2P+B=160</em>
<em>P+2A+2B=188</em>
___________
P=188-2A-2B
P=124-A-B
188-2A-2B=124-A-B
188-A-B=124
188=124+A+B
A+B=64
___
P+A+B=124
P=60
___
2P+B=160
120+B=160
B=40
___
A+B=64
A=24
___
If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=15 \end{cases}\implies \begin{array}{llll} V=\pi (6)^2(15)\implies V=540\pi \\\\\\ V\approx 1696.46 \end{array}](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%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%5C%5C%20h%3D15%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20V%3D%5Cpi%20%286%29%5E2%2815%29%5Cimplies%20V%3D540%5Cpi%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%201696.46%20%5Cend%7Barray%7D)
notice, the cup can take that much in cm³, so it can surely take 1620 just fine.
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