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notsponge [240]
3 years ago
12

Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall

candle can burn for. He assumes that the relationship between the height of a candle and number of hours it burns (h) is proportional. How long can a 21 cm tall candle burn for?
Mathematics
1 answer:
MAXImum [283]3 years ago
8 0
Elio is right in assuming the relationship between the height and the hours it burns is proportional.

Find the unit rate

14 ÷ 8 = 1.75 cm/h

Divide

21 ÷ 1.75 = 12

You can set this up as an algebraic equation to check the answer.

If the candle is 21 cm tall, it will burn for 12 hours.

Hope this helped you! :)
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Genrish500 [490]

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, <em>x</em>.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

35x+\frac{3}{4}=190

The equation above represents the total time the play director spent preparing for a play.

7 0
4 years ago
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
ivolga24 [154]

Answer:

50%

Step-by-step explanation:

If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be \frac{2}{4}, which is simplified to \frac{1}{2}. And because \frac{1}{2} could also turn into \frac{50}{100}, the percentage is 50%.

Hope this helps :)

3 0
3 years ago
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PLEASE HELP !!! The height of a rectangle is twice the width and the area is 32. Find the dimensions.
Helen [10]

Answer:

The rectangle has a width of 4 and a height of 8

Step-by-step explanation:

Let the height of the rectangle be H and the width be W.

We know the height of the rectangle is twice the width, so:

H = 2W

The area of a rectangle, A, is given by A = W * H, so in this case:

32 = W * 2W

32 = 2W²

W² = 16

W = 4

Knowing that the width is 4, the height must be 8. This gives us an area of 32.

8 0
3 years ago
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Maslowich
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3 0
4 years ago
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PLEASE HELP! GIVING POINTS :)!
Stells [14]

Answer:

8 23/40

Step-by-step explanation:

8 and 5 have 40 in common. To get from 8 to 40 you need to multiply by 5. You have to do the same to the top and bottom numbers in the fraction. 3/8 turns into 15/40. To get from 5 to 40, you need to multiply by 8. Again, u have to do the same for the top and bottom. 1/5 turns into 8/40. 15/40 + 8/40 = 23/40. Add the whole numbers, 6 and 2, to get 8. So the answer in 8 23/40. Hope this helps!

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3 years ago
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