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Temka [501]
3 years ago
12

Patti's Pet Palace has a 100-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 5 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?
A. y = 5x - 100
B. y = 5x + 100
C. y = 100 - 5x
D. y = 100x - 5
Mathematics
1 answer:
Alona [7]3 years ago
7 0

____________________________________________________

Answer:

Your answer would be C). y = 100 - 5x

____________________________________________________

Step-by-step explanation:

Let's break down the question so it would be more easier to figure out the answer.

We would be making a y = mx + b equation

Important information:

  • 100-gallon.
  • "Drained" at a rate of 5 gallons PER minute.
  • x represents the number of minutes the tank has been draining.

With the information above, we can use that to make our equations.

We know that the place has a 100 gallon fish tank. in the question, it says that for the equation, the tank was full, so that would be our "beginning point" or "starting value. From the equation, it would represent our "B" value.

Our equation should look like this now:

y = mx + 100

Now we need to find the rate of change.

In the question, it says that the tank DRAINS at around 5 gallons per minute, meaning that we would have to subtract 5 (-5). That would represent your "m" value on the equation. Your equations should now look like this:

y = -5x + 100

F.Y.I: y = 100 - 5x is the same that as -5x + 100, it's just flipped, and y = 100 - 5x is the answer choice that looks close to the one we made.

Answer choice C). y = 100 - 5x would be your FINAL answer.

____________________________________________________

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Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'
JulijaS [17]
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8 0
3 years ago
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adult
amid [387]

Answer:

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

3 0
3 years ago
Find the recursive formula for 15,12,9,6,
makkiz [27]
An=an-1-3

I hope this helps.
4 0
3 years ago
Can someone help me with this ASAP
Vika [28.1K]

Answer:

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Step-by-step explanation:

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3 0
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Ali simplifies the expression 9y+y to 9y2. why is she wrong?
Scorpion4ik [409]
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Read 2 more answers
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