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Nuetrik [128]
3 years ago
12

Water is poured into container A so that it’s 2/3 full.

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Step-by-step explanation:

Volume of Container A

= (8cm)(8cm)(12cm) = 768cm³.

Volume of water = 2/3 * Volume of Container A

= (2/3) * 768cm³ = 512cm³.

Base Area of Container B

= (10cm)(10cm) = 100cm².

Hence Depth of water in Container B

= 512cm³ / 100cm² = 5.12cm.

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\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\

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