kailaalbert15 kailaalbert15
  • 25-02-2020
  • Mathematics
contestada

8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
O
A.
12
OB. 4
16
D. 48

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 25-02-2020

Answer:

Option A. 12

Step-by-step explanation:

Let the number be T

The difference between the number and 6 is written as: T — 6

4 times the number is written as: 4T

But we were told from the question, that 8 times the difference between the number and 6 is equal to 4 times the number. This is written as:

8(T — 6) = 4T

Clear the bracket

8T — 48 = 4T

Collect like terms

8T — 4T = 48

4T = 48

Divide both side by the coefficient of T i.e 4

T = 48/4

T = 12

Therefore the number is 12

Answer Link

Otras preguntas

I need to find the zeros of the function:f(x)=2x^2-5x-3
Which refers to an injury to a joint?a. osteoporosisb. bursitisc. scoliosisd. carpal tunnel syndrome
What work ends with the phrase, "Workers of all countries, unite!"?
Which statement best describes an igneous intrusion?     A. Magma explodes to the surface and forms a smooth outer layer of rock.B. Magma is exported to an open
How to solve 12^r=13 in solving exponential equation with logarithms
How to solve 12^r=13 in solving exponential equation with logarithms
how many possible remainders are there when dividing any number by 1? 2? 3? 15?
Which refers to an injury to a joint?a. osteoporosisb. bursitisc. scoliosisd. carpal tunnel syndrome
(a-6b)(a+6b) pls answer
What work ends with the phrase, "Workers of all countries, unite!"?