Question

Answer these for me please pretty please

1.t (divided by) 5.4=9.01
2.3/4x=2
3.s+1/4=12 1/2
4.2 2/3+ y= 4 1/4

Answer 1

1. t = 48.654

2.
`x = (8)/(3)`

3.
`s = (49)/(4)`

4.
`y = (19)/(12)`

Explanation:

To solve equations using variables, perform inverse operations to undo each part and isolate the variable.

1.
`(t)/(5.4) =9.01`

Multiply by 5.4 on both sides to undo division.

t = 9.01 * 5.4

t = 48.654

2.
`(3)/(4)x = 2`

Multiply both sides by the reciprocal of 3/4 which is 4/3.

`x = 2*(4)/(3) \\x = (8)/(3)`

3.
`s + (1)/(4) = 12(1)/(2)`

Convert 12 1/2 into an improper fraction.

`s + (1)/(4) = (25)/(2)`

Subtract 1/4 from both sides.

`s + (1)/(4) - (1)/(4)  = (25)/(2) - (1)/(4)`

To subtract fractions without common denominators, convert 25/2 into a fraction with denominator of 4.

`s = (50)/(4) - (1)/(4)\\s = (49)/(4)`

4.
`2(2)/(3) + y = 4 (1)/(4)`

Subtract 2 2/3 from both sides.

`2(2)/(3) - 2(2)/(3)  + y = 4 (1)/(4)- 2(2)/(3)`

Convert each fraction into improper fractions and then to common denominators.

`y = (17)/(4) - (8)/(3)\\\\ y = (51)/(12) - (32)/(12) \\\\y = (19)/(12)`