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weeeeeb [17]
3 years ago
15

10) If ten is added to four times a certain number, the sum is four less than five times the number. Find the number.​

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

let the number be x.

  • 4 times the number = 4x
  • 10 added to 4 times the number = 4x + 10

now,

  • 5 times the number = 5x
  • 4 less than 5 times the number = 5x - 4

Given that,

4x + 10 = 5x - 4

moving all x terms to the LHS and the constants to the RHS

4x - 5x = -4 - 10

-x = -14

dividing both sides by -1

<u>x = 14</u>

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Answer:

  2214 buses

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Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.

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The transit system has 2214 buses.

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2 years ago
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na
raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

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3 years ago
Percent proportion definition
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7 0
3 years ago
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A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
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In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

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3 years ago
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24 because it’s the lowest multiple of 12 that’s also in 2,6 and 8
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