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lianna [129]
2 years ago
6

A wall is 300 square feet.a gallon of paint covers 110 square feet. What is an appropriate conversion factor to help determine h

ow many gallons of paint will be needed to paint the wall?
Mathematics
1 answer:
saveliy_v [14]2 years ago
8 0

Answer:

(1 gallon)/(100 ft^2)

Step-by-step explanation:

(1 gallon)/(100 ft^2) is a good conversion factor.  We could also use (100 ft^2)/(1 gallon), but I like the first, since the calculation is simpler:

(300ft^2)*/(1 gallon)/(100 ft^2) = 3 gallons  [I like multiplication better than division, and especially here, since 300/100 is 3, if my memory is correct.

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A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each a
wlad13 [49]

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

3 0
3 years ago
The height of Mountain P is 1,086 feet.The height of Mountain Q is 4 times the height of Mountain P.The area model shown below r
earnstyle [38]

Answer:

A=4000, B=80, C=24

Step-by-step explanation:

You forgot to put the correct area model, I attached it to the answer.

We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to multiplify it by 4, 6*4=24.

At the end we only sum our

  • A + 320 + c = 4344 (4 times the height of Mountain P).
  • 1000 + B + 6 = 1086(the height of the Mountain P).

8 0
3 years ago
Ninety two timesthe sum of 31 +60
shusha [124]

The answer is 8,372 for the final.

8 0
3 years ago
Read 2 more answers
Name the property the equation illustrates.
liubo4ka [24]
This would be the commutative property of multiplication which basically states that a * b = b * a (u can switch the order of the numbers and the answer will be the same)
7 0
4 years ago
Radius of cylinder = 5 cm
Kisachek [45]

Answer:

C  1055 04 cm

Step-by-step explanation:

We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).

So, we first need to calculate the volume of the cylinder, which is given by the formula:

VT = π * r² * h

VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm

Then we calculate the volume of the cone, which is given by:

VC = (π * r² * h)/3

VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm

Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:

NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm

7 0
3 years ago
Read 2 more answers
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