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VARVARA [1.3K]
2 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]2 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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Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi
tensa zangetsu [6.8K]
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
6 0
3 years ago
Read 2 more answers
Please help!!! I'll mark you as BRAINLIEST and give you 10 points!!!!!
zheka24 [161]

Answer:

6

Step-by-step explanation:

Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height

So we are given the value for A (60)

We are given the value for height (10)

So we just need to find the value of the base

So let's set this up as an equation. Input the given values into the area for triangle formula

A = B*h

60 = B * 10

So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10

60 divided by 10 = 6

10 divided by 10 = 1 (don't actually put a 1 down, just drop it)

So we are left with

6 = B

So the base is 6 square inches. To test, put it in the equation:

A = B*h

60 = 6*10

60 = 60

5 0
3 years ago
7 × (–3) × (–2)2 = ? <br><br> A. 84<br> B. 48<br> C. –84<br> D. –48
Dahasolnce [82]


7 × (-3) ×(-2)2 =

7 × -3 × -4 = (you have to eliminate all parenthesis in the equation.)

7 × -12 = -84

so your answer would be: C

3 0
3 years ago
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A graduated commission employee makes 3.5% interest on the first $50,000 in sales and 6.5% interest on all sales over $50,000. W
masha68 [24]

Answer:

7th Grade ELAR Snapshot

Step-by-step explanation:

6 0
2 years ago
18<br> What is the value of y?<br> 10<br> 2y + 4<br> 10 + 2x<br> 5
vredina [299]

Answer:

i got 4 but idk if its roght srry give it an try

5 0
3 years ago
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