mdboy2020 mdboy2020
  • 01-10-2021
  • Mathematics
contestada

1) If one-third of a number is 6 less than half of the number, what is the number?

Solve Algebraically

Respuesta :

ediaerita4
ediaerita4 ediaerita4
  • 02-10-2021

Step-by-step explanation:

let the number be x

[tex]1 \div 3 \: of \: x \\ x \div 3 = 1 \div 2 \: of \: x - 6 \\ x \div 3 = x \div 2 - 6 \\ multiply \: both \: sides \: by \: the \: lcm \: 6 \\ x \div 3 \times 6 = x \div 2 \times 6 - 6 \times 6 \\ x \times 2 = x \times 3 - 36 \\ 2x = 3x - 36 \\ 2x - 3x = - 36 \\ - x = - 36 \\ divide \: both \: sides \: by \: - 1 \\ - x \div - 1 = - 36 \div - 1 \\ x = 36[/tex]

Answer Link

Otras preguntas

4 students equally share 3/4 of a pizza. How much of the pizza does each student get?
All of the following are compound words except?
The table below shows the surface area y, in square inches, of a shrinking puddle in x hours: Time (x) (hours) 1 4 7 10 Surface area (y) (square inches) 100 8
Oxalic acid can inhibit the absorption of
Rerouting a river would have no effect on which group
Macy wants to buy a skateboard for $42. She has $95 in her account. She spent $12.99 to buy stationary. She also wants to buy some ice cream bars for $3.07 each
Which of these waves travels the fastest? A-Sound waves in air B-sound waves in water C- light waves in water D- light waves in a vacuum
Why is it that the two possible faults wit inductors are short circuit and open circuit
Which of these is not an example of a geometric shape or form?
in a grocery store steak cost $3.85 per pound if you buy a three pound steak and pay for it with a $20 bill how much change will you get