Explanation

0.50 - 0.27 = 0.23 Sol: 0.50 - 0.27 ------------- 0.23

0.5 - 0.27= ? Solution:- First of all adding 0 after 5 0.50 - 0.27 = 0.23

AGM 08-01-2023

Explanation

To determine the fraction of the pizza that remains after 4 slices are eaten from a pizza divided into 10 equal slices, we can follow these steps:

1. Total slices in the pizza:

10 equal slices

2. Slices eaten:

4 slices

3. Slices remaining:

Subtract the slices eaten from the total slices to find the slices that remain:

10 - 4 = 6

4. Fraction of the pizza remaining:

The fraction of the pizza that remains after 4 slices are eaten out of 10 slices can be calculated as:

slices remaining / total slices = 6/10 = 3/5

Explanation

Let's break it down:

(x + y + z) / 3 = 15

x + y + z = 45

(y + z + w) / 3 = 16

y + z + w = 48

Given w = 19:

y + z + 19 = 48

y + z = 29

Now, substitute y + z in the first equation:

x + 29 = 45

x = 16

Explanation

To find the average weight of the 11 students, we first need to calculate the sum of their weights and then divide by the total number of students.

Here are the weights of the students:

46 kg, 45.5 kg, 49 kg, 46.5 kg, 50 kg, 47 kg, 48 kg, 47.5 kg, 47.5 kg

Let's find the sum:

46+45.5+49+46.5+50+47+48+47.5+47.5

Summing these:

46+45.5=91.5

91.5+49=140.5

140.5+46.5=187

187+50=237

237+47=284

284+48=332

332+47.5=379.5

379.5+47.5=427

The sum of all weights is 427 kg.

Now, divide this sum by the number of students (11):

Average weight = 427 / 11 ≈ 38.82

It looks like there was a miscalculation. The correct calculation for average weight should be:

Average weight = 427/ 9 = 47.27

So, the correct average weight is 47.27 kg.

ND5-07-2023

Explanation

The sum of the 5 numbers is:

5 × 23 = 115

The sum of the 4 numbers is:

4 × 25 = 100

The fifth number is:

115 - 100 = 15

Explanation

To determine the frequencies of the fundamental and first two harmonics, we can use the formula:

f = v / (2L)

Where:

- f is the frequency of the harmonic

- v is the speed of sound in air

- L is the length of the pipe

Given that the length of the pipe is 1m and the speed of sound in air is 340 m/s, we can calculate the frequencies as follows:

For the fundamental frequency (first harmonic):

f1 = v / (2L)

= 340 m/s / (2 * 1m)

= 170 Hz

For the first overtone (second harmonic):

f2 = 2 * f1

= 2 * 170 Hz

= 340 Hz

For the second overtone (third harmonic):

f3 = 3 * f1

= 3 * 170 Hz

= 510 Hz

Therefore, the frequencies of the fundamental and first two harmonics for the pipe open at both ends are approximate:

- Fundamental frequency: 170 Hz

- First overtone: 340 Hz

- Second overtone: 510 Hz

Explanation

First, send 17 and 7.

After 7 minutes, 7 is at finish and 17 needs 10 more minutes to complete his travel. now send 13.

After 10 minutes 17 reaches finish and 13 needs 3 more minutes to complete. now send 3.

Both 3 and 13 reach the destination at the same time after 3 minutes.

hence the time taken is 7+10+3 = 20 minutes.

Explanation

To determine the total number of fence poles used, we need to consider that each corner pole is counted twice when calculating the poles for each side.

Each side of the square plot has 27 poles.

Since the plot is square, it has 4 sides.

First, calculate the total number of poles if we didn't account for the corners:

27 poles/side×4 sides=108 poles

However, this calculation counts each corner pole twice.

A square has 4 corners, so we need to subtract the 4 extra poles that were counted twice:

108 poles−4 extra poles=104 poles

Explanation

Given:

Total pages in the book = 300

Total days to finish the book = 10

Calculate the number of pages the student should read per day:

 300 pages / 10 days = 30 pages per day

Explanation

Given:

The total of their current ages is 80 years.

Three years ago, each of them was 3 years younger, so:

Amar's age three years ago = Amar's current age - 3

Akbar's age three years ago = Akbar's current age - 3

Ali's age three years ago = Ali's current age - 3

The total of their ages three years ago would be:

(Amar ′ s current age−3)+(Akbar ′ s current age−3)+(Ali ′ current age−3)

This simplifies to:

(Amar  ′ s current age+Akbar′ s current age+Ali' s current age)−9

Since the total of their current ages is 80 years:

80−9=71

Therefore, the total of their ages three years ago was 71 years