The answers are :
10) 25 : 24
11) 24 : 5
12) 36 : 5
13) 7 : 3
14) 15 : 1
<u>Ratio = Number of event 1 : Number of event 2</u> (in same unit, if necessary)
<u>10</u>
Girls preferring orange juice : Boys preferring orange juice
50 : 48 (Divide by 2 on both sides)
25 : 24
<u>11</u>
Boys preferring orange juice : Boys preferring grapefruit juice
48 : 10 (Divide by 2 on both sides)
24 : 5
Remember :
- <u>1 minute = 60 seconds</u>
- <u>1 week = 7 days</u>
- <u>1 hour = 60 minutes</u>
<u />
<u>12</u>
3 minutes : 25 seconds
3 × 60 : 25 (Divide by 5 on both sides)
3 × 12 : 5
36 : 5
<u>13</u>
2 weeks : 6 days
2 × 7 : 6 (Divide by 2 on both sides)
7 : 3
<u>14</u>
5 hours : 20 minutes
5 × 60 : 20 (Divide by 20 on both sides)
5 × 3 : 1
15 : 1
Answer:
x=4
Step-by-step explanation:
4x-3=x+9
4x-x-3=9
4x-x=9+3
3x=9+3
3x=12
3/3
12/3=4
x=4
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
Formula: V = PI x r^2 x H
Volume = 3.14 x 4^2 x 10
Volume = 3.14 x 16 x 10
Volume = 3.14 x 160
Volume = 160π or 502.4 units^3
