Explanation

The perfect square between 40 and 50 is 49 (7 × 7 = 49).

Explanation

A one-one function means that each element of the domain maps to a unique component of the codomain.

This is the definition of an injective function.

A bijective function is both injective and surjective.

A surjective function covers every element in the codomain.

A constant function maps all domain elements to the same codomain value — it is not injective.

Explanation

0.024+0.024/250=0.024096

Explanation

1059 + 1059 = 2118

Explanation

To determine how many times the digit 3 appears from 1 to 100, let's count its occurrences carefully.

Counting 3s in the unit place:

• The digit 3 appears in the unit's place for every set of ten numbers: 3, 13, 23, 33, 43, 53, 63, 73, 83, 93.
• This gives us 10 occurrences of the digit 3 in the units place.

Counting 3s in the tens place:

• The digit 3 appears in the tens place for the numbers from 30 to 39.
• This gives us 10 occurrences of the digit 3 in the tens place.

Adding these:

• 3s in units place: 10
• 3s in tens place: 10

In total, the digit 3 appears 20 times from 1 to 100.

SH18-8-2023

Explanation

Number of the population who read the magazine

= (45 + 55 + 40) – (30 + 25 +15) + 10

= 140 – 70 + 10

= 80%

Number of the population who do not read magazines = 100 – 80 = 20%

Sh14-8-2023

Explanation

$=0.444,\frac{2}{5}=0.4,\frac{3}{7}=0.428,\frac{1}{4}=0.25$

Hence, $\frac{1}{4}$ is the smallest fraction

Explanation

To solve this problem, follow these steps:

1Determine the rate at which one boy assembles machines:

• 15 boys assemble 30 machines in 1 hour.
• Therefore, 1 boy assembles 30 machines/15  boys = 2 machines per hour

Calculate the number of machines 48 boys can assemble in 1 hour:

• Each boy assembles 2 machines per hour
• Therefore, 48 boys×2 machines per boy=96 machines per hour.

Find out how many machines can be assembled in 40 minutes:

40 minutes is  40/ 60 = 2/3of an hour.

Therefore, in 40 minutes, the number of machines assembled is:

96 machines per hour× 2/3of an hour=64 machines

Explanation

Beats per minute = 11 beats / [(10 seconds) (1 minutes / 60 seconds)]

BPM = 11 beats / (1/6) minute

= 66 beats per minutes

Explanation

To solve the equation sqrt(x + 3) = 2,

we need to isolate x by getting rid of the square root.

Given equation:

sqrt(x + 3) = 2

Square both sides to eliminate the square root:

(x + 3) = 2^2

x + 3 = 4

Subtract 3 from both sides to solve for x:

x = 4 - 3

x = 1