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kvv77 [185]
3 years ago
9

There are 90 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month, 2/3 of the remaining house

s were sold. How many houses are left to be sold???
Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

18

Step-by-step explanation:

2/5*90=36

90-36=54

2/3*54=36

54-36=18

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A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at
lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

Q(t) = Q(0) - at

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Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that Q(0) = 8, a = 7/10 = 0.7. So

Q_{r}(t) = 8 - 0.7t

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that Q(0) = 6, a = 1/5 = 0.2. So

Q_{b}(t) = 6 - 0.2t

After how many hours will both candles be the same height ?

This is t when

Q_{r}(t) = Q_{b}(t)

8 - 0.7t = 6 - 0.2t

0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2

Multiplying by (-1)

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t = \frac{2}{0.5}

t = 4

Both candles will have the same height after 4 hours.

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