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AysviL [449]
3 years ago
7

Five consecutive multiples of 3 yield a sum that is equal to the product of 7 and 15. What are these multiples?

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

15, 18, 21, 24, 27

Step-by-step explanation:

Five multiples of 3 means we have 5 terms we are adding together to = 105.

For the sake of having something to base each one of these terms on, let's say that the first term is 3.  It's not, but 3 is a multiple of 3 and we have to start somewhere.  These terms go up by the next number that is divisible by 3.  After 3, the next number that is divisible by 3 is 6.  The next one is 9, the next is 12, the last would be 15.

Let's then say that 3 is the first term, and we are going to say that is x.

To get from 3 to 6, we add 3.  Therefore, the second term is x + 3.

To get from 3 to 9, we add 6.  Therefore, the third term is x + 6.

To get from 3 to 12, we add 9.  Therefore, the fourth term is x + 9.

To get from 3 to 15, the last term, we add 12.  Therefore, the last term is x + 12.

The sum of these terms will then be set to equal 105:

x + (x + 3) + ( x + 6) + ( x + 9) + ( x + 12) = 105

We don't need the parenthesis to simplify so we add like terms to get

5x + 30 = 105.  Subtract 30 from both sides to get

5x = 75 so

x = 15

That means that 15 is the first multiple of 3.  

The next one is found by adding 3 to the first:  so 18

The next one is found by adding 6 to the first:  so 21

The next one is found by adding 9 to the first:  so 24

The last one is found by adding 12 to the first:  so 27

15 + 18 + 21 + 24 + 27 = 105

Notice that all the numbers are, in fact, consecutive multiples of 3 as the instructions stated.

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7 0
3 years ago
Jalen made $533.75 while working at his job. He makes $15.25 an hour, how many hours did he work to make that amount of money?
mixer [17]

Answer:

35 hours

Step-by-step explanation:

Typically, people get their paycheck after 2 weeks.

Let say he worked 8 hours a day, a typical amount of hours for the average human who has a occupation.

Multiply the amount of hours by the amount payed every hour.

So 15.25 x 8 is 122

( so in 8 hours jalen made $122)

Add 8 hours, which would now be 16 hours worked.

16 x 15.25 = 244

(so in 16 hours jalen made $244)

Add another 8 hours of work time which would now be 24 hours (1 full day)

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Add 10 hours on now which would be 34 hours worked (2 days = 48 hours meaning she worked 1 day and 10 hours )

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(getting closer to the amount she earned)

So if we add another hour

which would be 35 hours worked (1 day 11 hours)

35 x 15.25 = 533.75

Therefore, Jalen worked 35 hours.

5 0
2 years ago
Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.
Juli2301 [7.4K]

Answer:

Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.

What is Jennifer height in inches

A: 40in

B : 44in

C: 64.5in

D 58.5in

The answer is 44in(B)

Step-by-step explanation:

Hope this helps :D

6 0
3 years ago
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