Explanation

To find the total number of packages:

Total weight of meat = 100 kg

Weight of each package = 4/7 kg

Number of packages = Total weight / Weight per package

= 100 / (4/7)

= 100 * 7 / 4

= 175

Explanation

Average is equal to sum of all numbers and divided by Total numbers

= 9+18+27+36+45 = 135/5

=27

Explanation

• Avg of 6 numbers = 30
• Sum of 6 numbers = 6 x 30 = 180
• Avg of first 4 numbers = 25
• Sum of first 4 numbers = 4 x 25 = 100
• Avg of last 3 numbers = 35
• Sum of last 3 numbers = 3 x 35 = 105
• Now, let's find the 4th number:
• Sum of first 3 numbers = Sum of first 4 numbers - 4th number
• = 100 - 4th number
• Sum of first 3 numbers = Sum of all 6 numbers - Sum of last 3 numbers
• = 180 - 105
• = 75
• So, 75 = 100 - 4th number
• 4th number = 100 - 75
• = 25

Explanation

Explanation

Explanation

Number of boys present: 50% of 100 = 0.5 x 100 = 50 boys

Number of girls present: 40% of 900 = 0.4 x 900 = 360 girls

Total students present = Boys present + Girls present

= 50 + 360

= 410

Now, let's find the percentage of students present:

Total students = Boys + Girls = 100 + 900 = 1000

Percentage of students present = (Total students present / Total students) x 100

= (410 / 1000) x 100

= 41%

Explanation

Mean Value Theorem applies to functions that are continuous on a closed interval [a, b].

And differentiable on the open interval (a, b).

Explanation

Multiply the given number by 3, After multiply subtracts 9 from the same number:

6*3=18-9= 9

 9*3=27-9= 18

18*3=54-9= 45

45*3=135-9= 126

126*3=378-9= 369

Explanation

The sequence is 1×2,2×3,3×4,4×5,5×6,6×7,......

Missing number=7×8=56.

Explanation

If a train runs 180 km per hour, how much distance will it travel in 8 hours = 1440

Speed of train  v=180 km/h

Time taken   t = 8 h

So, distance covered by train  D = v t

D=180 × 8

=1440 km