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VARVARA [1.3K]
3 years ago
12

Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 of the bin. Write and

solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words. If you can give a detailed explanation I will mark as brainliest and (50 points)
Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer: 3/16 gallons of water

Step-by-step explanation:

With any fraction, if you multiply it by its reciprocal, it equals 1.  (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1)  Thus, 2/3*3/2=1.  Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.

Hope it helps <3

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klasskru [66]

Answer:

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equation written as y=ax +b

b = y intercept

ax = slope

ax = y2-y1/x2-x1

take 2 random points

(0,3) (-2,0)

slope : 0-3/-2=0 = -3/-2 = 3/2

y intercept = 3 because x = 0 and y =3

<u>equation = y =3/2x + 3</u>

Step-by-step explanation:

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3 years ago
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3 years ago
A carpenter has a board that is 10 feet long. He wants to make 6 table legs that are all the same length. What is the longest ea
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
Vinvika [58]

Answer:

8cm and 9cm

Step-by-step explanation:

8cm and 9cm would be the two possible lengths for the triangle because for the triangle to work you need the other two other sides when added together needs to be greater then 13. Furthermore 5 + 8 = 13 and as 13 is the same length as the one side that is given, a triangle couldn't possibly be formed as it would just be a straight line. Moreover, this is the same with 6 + 7 which is also 13. 7 + 2 is 9 and because 9<13 a triangle couldn't possibly be formed. Finally, 8 + 9 which equals to 17 are the only two possible lengths for the triangle as 17 > 12.

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3 years ago
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