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Wewaii [24]
2 years ago
10

Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence?

Mathematics
1 answer:
Mademuasel [1]2 years ago
3 0

9514 1404 393

9514 1404 393

Answer:

  1) (1 1/2)(7/5) = g

  2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

  g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

__

2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

  (5/7)g = 1 1/2

  g = (1 1/2)/(5/7) . . . . division expression for the paint needed

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mr_godi [17]

Answer:

b>44

Step-by-step explanation:

12/5<b-8/15

switch sides b-8/15>12/5

multiply both sides by 15  15(b-8)/15>12*15/5

simplify b-8>36

add 8 to both sides b-8+8>36+8

simplify

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4 0
3 years ago
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 33
tigry1 [53]
<h3>Answer:</h3>
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  • B: 6 inches
<h3>Step-by-step explanation:</h3>

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

... 3A +2B = 33 . . . . . total length of Marta's fish

... 3A +4B = 45 . . . . . total length of Hank's fish

Subtracting the first equation from the second, we get ...

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Using this value in the first equation, we have ...

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3 years ago
How to do questions 19 and 20
Alexeev081 [22]

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

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We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

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6h + 2h + 5h - 20 = 136

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13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

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Step-by-step explanation:

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