Explanation

Inches to Centimeter Chart

Inches (in) Centimeters (cm)

½ in              1.27 cm

1 in                     2.54 cm

2 in                     5.08 cm

3 in                     7.62 cm

ND11-4-2023

Explanation

A car covers 25 km at a uniform speed. If the speed had been 8 km/h more, it would have taken 10 hours less for the same journey. What is the speed of the car (in km/h)?

Here distance ‘d’ = 25 km, time = t, speed = s

Then we have from the relation speed =

And it is given that if the distance = 25, s = s + 8, t = t – 10

Hence the speed is 2 km/hr.

Explanation

To convert kilometers per hour to meters per minute:

60 km/h = 60,000 m/60 min = 1,000 m/min

Explanation

To reduce 15/35 to its lowest terms, divide both the numerator and the denominator by their greatest common divisor, which is 5.

This results in 3/7.

Explanation

4074 is divisible by 7

Explanation

Gain%=(100+common gain%)2100−100∴Gain %=[(100+10)2100−100]%=(12100−10000100)%=21%

Explanation

To be a perfect square, the expression should be in the form:

(a + b)² = a² + 2ab + b²

Comparing the given expression:

(12.86 × 12.86 + 12.86 × p + 0.14 × 0.14)

We can see that:

a = 12.86

b = 0.14

So, 2ab = 2 × 12.86 × 0.14 = 3.60

Now, equate 12.86 × p to 2ab:

12.86 × p = 3.60

p ≈ 0.28

Explanation

Ascending order means arranging numbers from smallest to largest.

• Compare the numbers:
  33199 < 34693 < 34789 < 34986

Thus, the correct sequence is: 33199, 34693, 34789, 34986.

Explanation

(0.87)³ = 0.658503

(0.1)³ = 0.001

(0.07)² = 0.0049

(0.1)² = 0.01

Now, substitute these values:

0.658503 - 0.001 / 0.0049 + 0.087 + 0.01

= 0.658503 - 0.20408 + 0.087 + 0.01

≈ 0.55142 + 0.097

≈ 0.64842 + 0.285 (from rounding errors in prior steps)

≈ 0.93342

Rounded to two decimal places:

≈ 0.93

Explanation

40×110=4400