Question

40/8=45/?

42/14=?/5

?/2=56/8

?/4=26/13

4/32=9/?

4/32=9/?

9/3=?/4

3/?=2/1.25


Please show work I will give 30 points
Thx

Answer 1

Hi there!

These can all be solved by using the cross product method :

1.
`(40)/(8) = (45)/(x)`

(45 × 8) ÷ 40 = x

360 ÷ 40 = x

9 = x

→ ANSWER :
`(40)/(8) = (45)/(9)`

2.
`(42)/(14) = (x)/(5)`

(5 × 42) ÷ 14 = x

210 ÷ 14 = x

15 = x

→ ANSWER :
`(42)/(14) = (15)/(5)`

3.
`(x)/(2) = (56)/(8)`

(2 × 56) ÷ 8 = x

112 ÷ 8 = x

14 = x

→ ANSWER :
`(14)/(2) = (56)/(8)`

4.
`(x)/(4) = (26)/(13)`

(4 × 26) ÷ 13 = x

104 ÷ 13 = x

8 = x

→ ANSWER :
`(8)/(4) = (26)/(13)`

5.
`(4)/(32) = (9)/(x)`

(9 × 32) ÷ 4 = x

288 ÷ 4 = x

72 = x

→ ANSWER :
`(4)/(32) = (9)/(72)`

6.
`(9)/(3) = (x)/(4)`

(4 × 9) ÷ 3 = x

36 ÷ 3 = x

12 = x

→ ANSWER :
`(9)/(3) = (12)/(4)`

7.
`(3)/(x) = (2)/(1.25)`

(3 × 1.25) ÷ 2 = x

3.75 ÷ 2 = x

1.875 = x

→ ANSWER :
`(3)/(1.875) = (2)/(1.25)`

There you go! I really hope this helped, if there's anything just let me know! :)