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3 years ago

Helpppp I’ll give 35 points !!!! 7) -10x - 6y = 12 4x + 7y=-14

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

Answer:

7) x=3, y=-7

x=0, y=-2

Step-by-step explanation:

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3 years ago

This is a pond in the shape of a prism. it is completely full of water colin uses a pump to empty the pond. The level goes down

lapo4ka [179]

The required time is mathematically given as

t-150 minutes.

This is further explained below.

We know that the volume of the prism is given by.

Volume $$=$ (Base Area $) \times$ Height$

Base Area $=\frac{1}{2} \times(1.4+0.6) \times 2$

Base Area $=2 \mathrm{~m}^2$

Now,

$Volume $=2 \times 1=2 \mathrm{~m}^3$$

Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.

Because of this, the volume increases.

$Volume $=2 \times 0.8=1.6 \mathrm{~m}^3$

Now, the rate of emptying the tank is,

$=\frac{2-1.6}{30}=\frac{1}{75} \mathrm{~m}^3 / \mathrm{min}$

In conclusion, We also know that,

$\begin{aligned}&\text { time }=\frac{\text { volume }}{\text { rate }} \\&\text { time }=\frac{2}{\frac{1}{75}}-150 \mathrm{~min}\end{aligned}$

Therefore, Colin must wait for the pond to drain for a total of 150 minutes.