Explanation

600 units are made in 9 days with 20 machines.

To find the number of units made per day, divide 600 by 9: 600 ÷ 9 = 66.67 units per day.

Since there are 20 machines, the number of units made per day per machine is: 66.67 ÷ 20 = 3.33 units per day per machine.

Now, if we have 18 machines and want to produce units for 12 days, the total units that can be made are: 3.33 units per day per machine × 18 machines × 12 days = 720 units.

So, with 18 machines, the soap factory can produce 720 units in 12 days.

Explanation

Here's the completed series:

2 + 18 = 20

20 + 22 = 42

42 + 26 = 68

68 + 30 = 98

The pattern consists of adding consecutive multiples of 2 (18, 22, 26, 30, ...) to obtain the next term.

Explanation

3.4% can be written as a fraction by dividing by 100 (since percent means "per hundred"):

3.4 ÷ 100 = 34 ÷ 1000

So, 3.4% is equal to the fraction 34/1000.

Explanation

When the trains move in opposite directions, their relative speed is the sum of their individual speeds:

60 km/h + 40 km/h = 100 km/h

To convert this to meters per second, divide by 3600 (since there are 3600 seconds in an hour):

100 km/h ÷ 3600 = 27.78 m/s (approximately)

The total distance covered by the trains as they cross each other is the sum of their lengths:

140 m + 160 m = 300 m

Time = Distance ÷ Relative Speed

Time = 300 m ÷ 27.78 m/s ≈ 10.8 s

Explanation

One kilogram is equal to 2.2046 pounds.

Difference Between Pound and Kilogram

Explanation

To find 30% of 180, you can multiply 180 by 0.3 (which is equivalent to 30%).

180 x 0.3 = 54

So, 30% of 180 is 54!

Explanation

To find the percentage discount, first, calculate the amount of the discount:

Discount = Original price - Paid price

= Rs 600,000 - Rs 570,000

= Rs 30,000

Then, divide the discount by the original price and multiply by 100:

Percentage discount = (Discount ÷ Original price) × 100

= (Rs 30,000 ÷ Rs 600,000) × 100

= 5%

So, Mr. Rehman received a 5% discount on his car purchase.

Explanation

Explanation

Let's set up the equations based on the given information:

1. 2p + 3c = 86 (Equation 1)

2. 4p + 1c = 112 (Equation 2)

where p is the price of a pen and c is the price of a pencil.

To solve for p and c, we can use substitution or elimination. Let's use the elimination method.

First, solve Equation 2 for c:

4p + c = 112

c = 112 - 4p

Now, substitute this expression for c into Equation 1:

2p + 3(112 - 4p) = 86

2p + 336 - 12p = 86

2p - 12p = 86 - 336

-10p = -250

p = 25

So, the price of a pen is 25.

Explanation

Given, $15$ out of $20$ students have passed the test.
So, $(20-15)=5$ students must have failed the test.

Percentage of students who have failed
$=\frac{\text{Number of students failed}}{\text{Total number of students}}\times 100=\frac{5}{20}\times 100=25\%$