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adelina 88 [10]
3 years ago
14

Three times the sum of a number and 4 is the same as 18 more than the number. what is the number​

Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer:

three times the sum of a number and 4, if n were to represent the unknown number, is:

3(n + 4)

18 more than a number is:

n + 18

If these two are the same, then they are equal to each other, then:

3(n + 4) = n + 18

*Do the distributive property on the left*

3n + 12 = n + 18

*Combine like terms*

2n = 6

*Divide both sides by 2*

n = 3

The number is 3.

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We need to spin the spinner <u>150 times</u>, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner <u>150 times</u>, to expect a multiple of 4 to be spun 30 times.

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