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ollegr [7]
3 years ago
7

Patti's Pet Palace has a 90-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 2 gallons per minute.

Assuming the tank was full, and x represents the number of minutes the tank has been draining, which of the following equations represents the amount of water in the tank after x minutes?
Mathematics
2 answers:
Deffense [45]3 years ago
8 0
You would have 90 cause the tank is full then you would subtract that from 2x because 2 gallons drain per minute so your answer is 90-2x
Gre4nikov [31]3 years ago
4 0

Answer:

y=90-2x

Your Welcome! :D

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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%7B16%7D%5E%7B%20-%202x%7D%20%20%3D%2032" id="TexFormula1" title=" {16}^{ - 2x} = 32" alt=
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3 years ago
What is the solution of the system of equations?<br> 3x+2y+z=7<br> 5x+5y+4z=3<br> 3x+2y+3z=1
Umnica [9.8K]
The answer is x = 4
y = -1
z = -3

<span>3x+2y+z=7
5x+5y+4z=3
3x+2y+3z=1
________
Let's take the first and the third equation, multiply the first one by (-1) and sum them up:
</span>3x+2y+z=7
3x+2y+3z=1
____
-3x-2y-z=-7
3x+2y+3z=1
____
2z = -6
z = -6/2
z = -3


Substitute z in all equations:
3x+2y+z=7
5x+5y+4z=3
3x+2y+3z=1
______
3x + 2y - 3 = 7
5x + 5y - 12 = 3
3x + 2y - 9 = 1
______
3x + 2y = 10
5x + 5y = 15
3x + 2y = 10

The first and the third equations are the same, so one can be excluded:
3x + 2y = 10
5x + 5y = 15

Multiply the first equation by -5 and the second equation by 2 and sum them up:
-15x - 10y = -50
10x + 10y = 30
_________
-5x = -20
x = -20/-5
x = 4

Substitute x:
3x + 2y = 10
12 + 2y = 10
2y = 10 - 12
2y = -2
y = -2/2
y = -1
3 0
3 years ago
Read 2 more answers
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