Explanation

To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x.

Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n):

(4(3x) + 5(2x)) : (4(3x) - 5(2x))

Expanding and simplifying, we get:

(12x + 10x) : (12x - 10x)

22x : 2x

Now, we can divide both terms by 2x to get: 11 : 1

Explanation

9/162=x/306

X=9/162 × 306

X= 17

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

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

2
∴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 =22m

Explanation

For distribution between A & B the proportion has to be 2:3

Thus when A gets 2 units, B gets 3 units

So A gets ₹20/- & B gets ₹30/-

Distribution between B & C has to be 2:3

If ₹30 is 2, then 3 has to be ₹45/-

So ₹ 95,000/- to be divided between A, B & C shall have to be in the proportion of

20:30:45

Thus A gets ₹20′000/- B gets₹30′000/- and C gets ₹45000/-

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

To find the answer, we calculate the total work:

42 women x 18 days = 756 woman-days

Since the work remains the same, we divide the total work by 21 days:

756 woman-days ÷ 21 days = 36 women

So, 36 women can do the same work in 21 days.

Explanation

Explanation

2994 ÷ 14.5 = 172

We can cross-multiply to get:

2994 × 14.5 = 172 × 100 (multiplying both sides by 100)

Then, we can convert the percentages to decimals by multiplying both sides by 0.01:

29.94 × 145 = 1720

Finally, we can divide both sides by 100 to get:

29.94 × 1.45 = 1720 ÷ 100

= 17.2

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.