Question

Solve for z

1. x. 45
_ = _
16. 40

2. x. 1
_ = _
5. 4

3. 2.5. x
_ = _
10. 50

4. x. 2
_ = _
6. 9​

Answer 1

Explanation:

`1.\ (x)/(16)=(45)/(40)\qquad\text{cross multiply}\\\\40x=(16)(45)\\\\40x=720\qquad\text{divide both sides by 40}\\\\\boxed{x=18}\\\\======================`

`2.\ (x)/(5)=(1)/(4)\qquad\text{cross multiply}\\\\4x=(1)(5)\\\\4x=5\qquad\text{divide both sides by 5}\\\\\boxed{x=(4)/(5)}\\\\======================`

`3.\ (2.5)/(10)=(x)/(50)\qquad\text{cross multiply}\\\\10x=(2.5)(50)\\\\10x=75\qquad\text{divide both sides by 10}\\\\\boxed{x=7.5}\\\\======================`

`4.\ (x)/(6)=(2)/(9)\qquad\text{cross multiply}\\\\9x=(6)(2)\\\\9x=12\qquad\text{divide both sides by 9}\\\\x=(12)/(9)\\\\x=(12:3)/(9:3)\\\\\boxed{x=(4)/(3)}`