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morpeh [17]
3 years ago
8

A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons

per minute. write a linear equation to model this situation. Find the volume of the water in the sink 5 minutes after Baxter begins filling the tank.
Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

Step-by-step explanation:

Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.

Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.

There are already 56 gallons of water in the tank, so b will be 56.

Plug in these values into the equation:

y = 8x + 56

So, the linear equation is y = 8x + 56

Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:

y = 8x + 56

y = 8(5) + 56

y = 40 + 56

y = 96

So, after 5 minutes, the volume of the water was 96 gallons

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Answer:

48 in.

Step-by-step explanation:

Scales are based on proportions. The proportion in this scenario is:

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Hope this helps :)

6 0
3 years ago
Complete the area model to identify the factored form of the quadratic expression it represents. A) (x + 2)(x + 5) B) (x − 2)(x
liberstina [14]

The correct answer is D (x - 5)(x - 2)

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8 0
3 years ago
Read 2 more answers
Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30.
morpeh [17]

The price of one hat is $2 and price of one pair of mittens is $5.

Step-by-step explanation:

Let,

Price of one hat = x

Price of one pair of mittens = y

According to given statement;

5x+4y=30      Eqn 1

2x+3y=19       Eqn 2

Multiplying Eqn 1 by 2

2(5x+4y=30)\\10x+8y=60\ \ \ \ Eqn\ 3

Multiplying Eqn 2 by 5

5(2x+3y=19)\\10x+15y=95\ \ \ \ Eqn\ 4

Subtracting Eqn 3 from Eqn 4

(10x+15y)-(10x+8y)=95-60\\10x+15y-10x-8y=35\\7y=35\\

Dividing both sides by 7

\frac{7y}{7}=\frac{35}{7}\\y=5

Putting y=5 in Eqn 1

5x+4(5)=30\\5x+20=30\\5x=30-20\\5x=10

Dividing both sides by 5

\frac{5x}{5}=\frac{10}{2}\\x=2

The price of one hat is $2 and price of one pair of mittens is $5.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/11145277
  • brainly.com/question/11150876

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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