Find the perimeter and area of each finger below

A store sells two kinds of candles, scented and unscented. The scented candles burn one eighth inch

sineoko [7]

Answer:

Scented candle, 1/2 inch per hour

Unscented 1/3 inch per hour

Step-by-step explanation:

The scented candle burns 1/8 inch in every 15 minutes. The unscented candle burns 1/9 inch in every 20 minutes.

We simply first convert the time taken in fraction to minutes for convenience using the conversion 60 minutes are in an hour.

Now let’s calculate unit rate per hour I.e every 60 minutes.

For the scented candle:

1/8 inch burns in 15 minutes

x inch will burn in 60 minutes

To get x, we cross multiply.

1/8 * 60 = 15 * x

15x = 7.5, x = 7.5/15 = 1/2 = 0.5

This means that half of the scented candle will have been burnt in 1 hour.

Now, for the unscented candle, if 1/9 inch burns in 20 minutes, x inch will burn in 60 minutes.

1/9 * 60 = 20x

180x = 60

x = 1/3 or 0.33

This means one-third will be burnt in an hour

The scented one burns more.

The unit rate is the rate of burning per hour. It is the fraction of the candles that will burn per hour. It enables us find the time it will take for either candles to burn up.

7 0

3 years ago

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

Akimi4 [234]

Answer:

$a_8=38$

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term $a_n$ is computed as a function of one or more previous terms. In the formula

$a_n=a_{n-1}+5$

n is the number of the term we want to calculate. If n=8, then the formula becomes

$a_8=a_{7}+5$

We can see $a_{n-1}$ is the previous term. It means we need $a_7$ to be able to compute $a_8$ . But we also need $a_6$ to compute $a_7$ and so on until some known data is reached. The question provides five terms, $a_5=23.$