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KATRIN_1 [288]
2 years ago
14

Water flowed out of a tank at a steady rate. A total of 18 1/2 gallons flowed out of the tank in 4 1/4 hours. Which expression

Mathematics
2 answers:
Alecsey [184]2 years ago
6 0

Answer:

In 1 hour water flowed out = \frac{74}{17}  gallons

Step-by-step explanation:

Given as ,

The quantity of water flowed out of tank =  18 \frac{1}{2} gallons

                                                                   =    \frac{37}{2} gallons

The time spend in flowing water out of tank = 4  \frac{1}{4} hours

                                                                          =    \frac{17}{4} hours

∵ In  \frac{17}{4} hours , water flowed out =  \frac{37}{2}

∴ In    1    hours                           ,  water flowed out = \frac{37\times4}          {17\times2}

So, in 1 hour water flowed out = \frac{74}{17}  gallons Answer

Lerok [7]2 years ago
4 0

Answer:

The tank flowed out 4\frac{6}{17} gallons per hour.

Step-by-step explanation:

We know that

The tank flowed out 18\frac{1}{2} gallons in 4\frac{1}{4} hours.

To find the ratio of change, that is, the number of gallons per hour, we just need to divide these quantities as follows

18\frac{1}{2} \div 4\frac{1}{4}=\frac{37}{2}\div \frac{17}{4}=\frac{37}{2}\times \frac{4}{17}=\frac{148}{34}=\frac{74}{17} =4\frac{6}{17}

<h2>Therefore, </h2>

the tank flowed out 4\frac{6}{17} gallons per hour.

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X + y = 3, 4y = -4x - 4<br> System of Equations
alexdok [17]

Answer:

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Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

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combine like terms

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This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution

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3 years ago
Madison arrived at work at 8:00 AM. She went out for lunch at 11:00 AM. She returned at 12:00 PM and worked until 4:00 PM. How m
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The bottom 2 i’m pretty sure, sorrry if it’s wrong
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Step-by-step explanation:

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