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3 years ago

A 12 inch candle burns 0.5 inches every hour. An 18

Mathematics

1 answer:

Hitman42 [59]3 years ago

8 0

Answer:

After 4 hours, two candles be at the same height.

Step-by-step explanation:

Let us assume after burning for m hours, both candles are same height.

Length of candle A = 12 inch

Burning rate = 0. 5 inches per hour

So, the candle burned in m hours = m x (0.5) = 0.5 m inches

The height of candle left after m hours = 12 - 0.5 m

Length of candle B = 18 inch

Burning rate = 2 inches per hour

So, the candle burned in m hours = m x (2) = 2m inches

The height of candle left after m hours = 18 - 2 m

According to question:

After m hours: Height of candle A = Height of candle B

or, 12 - 0.5 m = 18 - 2 m

⇒ 12 - 18 = -2m + 0.5 m

or. - 6 = -1.5 m

or, m = 6 / 1.5 = 4

or, m = 4

Hence, after 4 hours, two candles be at the same height.

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Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.

Anna11 [10]

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!

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4 years ago

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An article bought for rupees 350 is sold at a profit of 20% find its selling price

Mice21 [21]

Answer:

420

Step-by-step explanation:

20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).

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3 years ago

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Assume that we want to construct a confidence interval. Do one of the following, as appropriate:_________.

andreyandreev [35.5K]

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:

n = 236, $\bar x$ = 30.3 hg, s = 7.2 hg. The confidence level is 95%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%