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s2008m [1.1K]
3 years ago
10

Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons o

f water. You begin filling it, and after 5 minutes, the tub is full.
Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

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What is the answer to this question
Lana71 [14]
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A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.
worty [1.4K]

We were told that the distance D is directly proportional to the time T.

We write this mathematically as,

D\propto T


We can now introduce our constant of variation and write the equation for the direct equation as;


D=kT


where k is the constant of variation or constant of proportionality.


We substitute D=20 and T=15, in to the equation of variation to obtain the constant of proportionality.


That is;


20=k\times15



This implies that,




\frac{20}{15}=k


This simplifies to give us,




k=\frac{4}{3}


Now our equation of proportion becomes,



D=\frac{4}{3}


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D=\frac{4}{3}\times20


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Writing this as a mixed number we obtain,

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This can also be rewritten as

D=26.67 correct to one decimal places.


Therefore the care covers 26.67 miles in 20 minutes.





6 0
3 years ago
Beth read a total of 12 books over 7 months.
givi [52]

She has been with her book club for 49 months.

Step-by-step explanation:

Books read = 12 books

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Therefore,

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Using both unit rates;

\frac{x}{84}=\frac{7}{12}\\x=\frac{7}{12}*84\\x=\frac{588}{12}\\x=49\ months

She has been with her book club for 49 months.

Keywords: Unit rates, multiplication

Learn more about multiplication at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

8 0
3 years ago
What is an<br> equation of the line that passes through the points (-3,-7) and (8,-7)?
pentagon [3]

Answer:  y = -7

graph attached.

Step-by-step explanation:

This is a horizontal line passing through -7 in the y-axis.<u> It passes through </u><u>all x-values</u>

4 0
3 years ago
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