Question

1) Evaluate [(1/3)-3 X (1/2)-3 ] ÷ ( ¼)-3
2) If (7-3)2 x 7x+4 = 77, find the value of x.

Answer 1

(1)
`[((1)/(3))^(-3)* ((1)/(2))^(-3)]/ ((1)/(4))^(-3))=3.375`

(2)
`x=(45)/(56)`

Step-by-step explanation :

Part 1:

The given expression is:

`[((1)/(3))^(-3)* ((1)/(2))^(-3)]/ ((1)/(4))^(-3))`

`=[((1)/(((1)/(3))^3))* ((1)/(((1)/(2))^3))]/ ((1)/(((1)/(4))^3))`

`=[27* 8]/ (64)`

`=[216]/ (64)`

`=(27)/(8)`

`=3.375`

Part 2:

The given expression is:

`(7-3)2* (7x+4)=77`

`(4)2* (7x+4)=77`

`8* (7x+4)=77`

`56x+32=77`

`56x=77-32`

`56x=45`

`x=(45)/(56)`

Thus, the value of x is
`(45)/(56)`