Question

can someone answer all this pls submission to maam tmrw

1. Express each of the following ratios in the simplest form.

(a) 5.6 m to 28 cm

(b) dozen to a score

(c) score to a gross

(d) 6 hours to a day

(e) 20 litres to 0.75 litres

(f) 1728 : 2400

2. Simplify the following ratios.

(a) 1/4 : 1/6 : 1/8

(b) 3.6 : 4.5

(c) 3²/₃ : 4¹/₂

(d) 3 : 2.4 : 2¹/₄

3. Compare the following ratios.

(a) 5 : 7 and 4 : 3 (b) 1/3 : 1/4 and 1/5 ∶ 1/4 (c) 2¹/₂ : 3¹/₃ and 0.3 : 1

(d) 2³/₄ : 1²/₃ and 1.2 : 1.5

5. In the ratio 3 : 5, the consequent is 15. Find the antecedent.

6. Divide 3000 among P, Q, R in the ratio 2 : 3 : 5

7. Which of the following statements are true?

(a) 25 : 35 = 45 : 55

(b) 105 : 30 = 49 : 14

(c) 45 : 48 = 60 : 64

(d) 2/3 : 7/9 = 3/4 : 5/6
(e) 4.2 : 12.6 = 1.5 : 4.5
(f) 12 : 18 = 28 : 12
8. Determine if the following ratios form a proportion.
(a) 25 cm : 1 m = $40 : $160
(b) 200 ml : 2.5 l = $4 : $50
(c) 32 m : 64 m = 7 seconds : 14 seconds
(d) 6.5 litres : 13 litres = 50 kg : 10 kg
9. Find the value of x in each of the following.
(a) 4, 5, x, 480
(b) 9, 21, 33, x
(c) x, 28, 20, 4
(d) 15, x, 27, 63
(e) x, 30, 60
(f) 6, x, 24
10. Find the fourth proportional to
(a) 5.6, 2.1, 1.6, x
(b) 3/4, 15/16, 2/4, x
(c) 5³/₅, 3¹/₂, 2, x
(d) 8, 6, 4, x
11. Find the third proportional to

(a) 9, 6, x
(b) 0.2, 0.4, x
(c) 9/16, 3/5, x

(d) 6, 12, x
12. Find the mean proportional between
(a) 9 and 4
(b) 1.6 and 0.4
(c) 1⁴/₅ and ⁴/₅

Answer 1

Step-by-step explanation:

1. Express each of the following ratios in the simplest form.

(a) 5.6 m to 28 cm

1m=100cm

5.6m=5.6×100=560cm

$RATIO = \frac{560}{28} = \frac{20}{1} \\ RATIO = 20:1$

(b) dozen to a score

1 dozen=12

1 score= 20

RATIO=12:20

RATIO=3:5

(c) score to a gross

1 gross=144

1 score= 20

RATIO= 144:12 =12:1

(d) 6 hours to a day

1day =24 hours

RATIO= 6:24=1:4

(e) 20 litres to 0.75 litres

RATIO= 20:0.75= 200:3

(f) 1728 : 2400

$RATIO = \frac{1728}{2400} = \frac{18}{25}$

RATIO=18:25