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slava [35]
3 years ago
13

A tank contains 550 gallons of water. When the valve is opened, the tank drains at a rate of 12 gallons per minute. Which functi

on shows the relationship between the time t the valve is opened and the amount of water in the tank?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

y= 550-12x

Step-by-step explanation:

Given data

Content of tank= 550 gallons

Rate of drain= 12gallon per minute

let the time it will take to drain all 550 gallons be x minutes

Hence the expression for amount of water in the tank after x minutes will be

y= 550-12x

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Answer:

\boxed{ \mathrm{y = \ negative \  3 x + 3}}

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

<u><em>Finding slope of the line</em></u>

Slope = \frac{rise}{run} = \frac{y2-y1}{x2-x1}

Slope = \frac{6-0}{-8+6}

Slope =\frac{6}{-2}

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

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3 years ago
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Ludmilka [50]
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Need help with 21-23 you suppose to simplify the expression
lora16 [44]

To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:

-(4x + 17) + 3(7-x)

To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.

-4x - 17 + 21 - 3x

Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.

-7x + 4 (your answer)

Now, we can move on to question 22 and solve it in a similar manner:

7(2n-8) - 4(12 - 8n)

Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.

14n - 56 - 48 + 32n

Next, we will combine like terms (add the n terms together and subtract the constant terms).

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Now, we can solve problem 23:

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We will again distribute through the parentheses:

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Combine like terms after that:

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Therefore, your answers for the three problems are as follows:

21) -7x + 4

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Hope this helps!

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3 years ago
Complete the equations to solve 1{,}860 \div61,860÷61, comma, 860, divided by, 6.
coldgirl [10]

The division of the figure based on the information is 14.09.

<h3>How to illustrate the information?</h3>

It should be noted that the question is simply to divide 860 by 61.

The division based on the information will be illustrated thus:

= 860 ÷ 61

= 14.09

In conclusion, the correct option is 14.09.

Learn more about division on:

brainly.com/question/1622425

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Use the following terms to complete the following statements:integers ,rational numbers and whole numbers.
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That is not a questio

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