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3 years ago

Solve n+m/p = q for the variable n

Mathematics

2 answers:

konstantin123 [22]3 years ago

8 0

N+m/p=q
Multiply by p
Np+m=pq
Subtract m
Np=pq-m
Divide by p
N=(pq-m)/p

vodka [1.7K]3 years ago

4 0

$\frac{n+m}{p}=q \\ \\ n+m=pq \\ \\ \boxed{n=pq-m }$

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A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in

Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock ( $V_{r}$ ), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock ( $V'$ ) minus the volume of the fish aquarium with the decorative rock ( $V''$ ), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

$V_{r} = V' - V''$

$V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2})$ (1)

Where:

$\dot V$ - Flow rate, measured in gallons per hour.

$\Delta t_{1}$ - Filling time of the fish aquarium without the decorative rock, measured in hours.

$\Delta t_{2}$ - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

$\dot V = \frac{2000\,gal}{10\,h}$

$\dot V = 200\,\frac{gal}{h}$

The flow rate is 200 gallons per hour.

If we know that $\dot V = 200\,\frac{gal}{h}$ , $\Delta t_{1} = 10\,h$ and $\Delta t_{2} = 9.5\,h$ , then the volume of the rock is:

$V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)$

$V_{r} = 100\,gal$

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The volume of the rock is 13.368 cubic feet.

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3 years ago

Help please last question I swear

SOVA2 [1]

Jones has 3/4 total fertilizer. He wants to use 1/8 each scoop to use all of the fertilizer.
We need to make these into proportions to understand the amount of each fraction easier. 1/8 = 0.125, and 3/4 = 0.750
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3 years ago

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Answer:

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Answer:

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3 years ago