Explanation

According to question, Or, (2A/3)=(75B/100)=(C × 6/10); A × 2/3= B × 3/4;

⇒ A/B= 9/8; And, B × 3/4= C × 3/5;

⇒ B/C= 8 : 10; Thus, A : B : C= 9 : 8 : 10.

Explanation

Area of a circle =πr2
∴38.5=πr2
∴722​×r2=38.5
⇒r2=38.5×227​
⇒r2=12.25⇒r=12.25​
∴ r=3.5
Now, Circumference of circle =2πr
∴ Circumference of circle =2×722​×1035​
∴ Circumference of circle =22mArea of a circle =πr

Explanation

 Third integer is x + 4 = 11 + 4 = 15. 

Explanation

Initial situation: 200 men have enough food for 60 days.

Reduced situation: 160 men (40 fewer men than initially).

Since there are fewer men, the food will last longer. To find out how long, we can set up a proportion:

200 men / 160 men = 60 days / x days

Where x is the number of days the food will last with 160 men.

Cross-multiplying and solving for x:

200x = 60 × 160

200x = 9600

x = 9600 ÷ 200

x = 75

So, the food will last 75 days if the number of men in the camp is reduced to 160.

Explanation

log5​512=log5log512​
=log(10/2)log29​
=log10−log29log2​
=1−0.30109×0.3010​
=0.6992.709​
=6992709​
=3.876

Explanation

8×2=8+2+82=10+4= 14

Explanation

12 men=15women

1man=(15/12)=(5/4) women

7 men=35/4 women

(35/4+5 )=55/4

15 women=14 days

55/4 women=(15*14*4)/55= 168/11 days

Explanation

First, we need to calculate the number of voters who forget to vote.

7% of 5860 is approximately 410 voters.

Now, let's subtract those voters from the total: 5860 - 410 = 5450. Since the candidate needs to win at least 50% of the remaining votes, we'll divide 5450 by 2.

This gives us 2725 votes.

So, the candidate needs 2725 votes to win the election.

Explanation

Person A completes the work in 12 days, so their work rate is 1/12 of the work per day.

Person B completes the work in 6 days, so their work rate is 1/6 of the work per day.

When they work together, their combined work rate is the sum of their individual work rates:

(1/12 + 1/6) = (1/12 + 2/12) = 3/12 = 1/4 of the work per day.

Since they can complete 1/4 of the work in a day, they will complete the entire work in: 4 days.

Explanation

Let x be volume of the solution

 8/100 × x = 15.

8/100 = 15/x. Cross multiplication.

8x = 15×100.

x = 15 × 100/8.

= 187.5 ml.