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Setler [38]
2 years ago
9

Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 gallon of water fills 2 over 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.
Mathematics
2 answers:
sergiy2304 [10]2 years ago
8 0

Answer: 3/10

Step-by-step explanation: (1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or

3/10 gallons fills a whole bin...

dusya [7]2 years ago
6 0

Answer:

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or

3/10 galons fills a whole bin....

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Simplify (5+11i) - (16-4i) +9i.
lisabon 2012 [21]

Answer:

5+11i-16-4i+9i

5-16+11i-4i+9i

-11+7i+9i

-11+16i

Step-by-step explanation:

First, get the like terms together. Then add or subtract until its simplified. Simplified is -11+16i.

6 0
2 years ago
Read 2 more answers
How to solve -6<-2x<14
algol13
Hey there! :) 

-6 < -2x < 14

We're trying to solve for x. To solve for x, we must isolate x.

So, let's divide everything by -2!

-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2

**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **

3 > x > -7

So, our answer is : → 3 > x > -7

~Hope I helped!~
4 0
3 years ago
The length of a rectangle is 3 less than 2 times the width if the perimeter is 60 what is the length
Semenov [28]
P=2w+(2w-3)
60=4w-3
63=4w
15.75=w

l=2w-3
l=(2×15.75)-3
l=31.5-3
l=28.5

This answer doesn't add up so if you meant the COMBINED width then:

P=w+(2w-3)
60=3w-3
63=3w
21=w

l=2(21)-3
l=42-3
l=39

(This answer checks out so this is probably what you meant hope I helped)
7 0
3 years ago
Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student div
Korolek [52]
The answer is 2.84 and I am not sure
6 0
3 years ago
Read 2 more answers
4x4
aivan3 [116]

Answer:

60=2(20)+2x

x=10

Step-by-step explanation:

First, let's write some equations. I wrote 60=2(20)+2x, where x is the length of the room. To solve, first multiply 2 times 20 for 40 (60=40+2x). Then, I subtracted 40 from both sides (20=2x). Finally, I divided on both sides by 2 (10=x).

5 0
3 years ago
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