Explanation

The calculation is done as follows:

Calculate inside the parentheses:

(4 + 4) = 8

(8 - 4) = 4

Now, add the results:

8 + 4 = 12

So, [(4 + 4) + (8 - 4)] = 12

Explanation

To find the solution set for the inequality, we need to isolate by solving the inequality step by step.

1. Subtract 5 from both sides to isolate the term with :

4x + 5 - 5 < 9 - 5

4x < 4

2. Divide by 4 to solve for :

 x < 4/4 

x< 1

Therefore, the solution set for the inequality is.

This means that any value of less than 1 will satisfy the given inequality.

Explanation

Let's denote the unknown number as 𝑥

According to the problem, the number is first multiplied by 7 and then divided by 4, resulting in 14.

This can be expressed as the equation:

7x/4 - 14

To solve for 𝑥 follow these steps:

Multiply both sides of the equation by 4 to eliminate the fraction:

7x = 14 x 4

 7x = 56 

2. Divide both sides by 7 to solve for x:

x = 56/7

x = 8 

therefore, the number is 8

Explanation

The formula #S_oo=a_1/(1-r)#

#a_1=-10# and #r=1/2#

#S_oo=-10/(1-1/2)#

#S_oo=-20#

Sh1-9-2023

Explanation

The first 5 composite numbers are 4, 6, 8, 9, 10.

composite numbers are those that can have factor other than one and itself 

Sum of first 5 composite = 4+6+8+9+10=37

Explanation

X(YZ)=(XY)Z this is associative property of group under multiplication

Explanation

Principal = Rs(100×540012×3)=Rs. 15000

The actual formula is (interest of 3 years*100)/(month in a year*total years).

5400*100 we will get 540000 12*3 we will get 36 540000/36=15000

Explanation

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

Explanation

Let the sum be Rs. 100. Then, S.I. for first 6 months = Rs. ( 100 X 10 X 1/100 X 2 ) = Rs. 5. S.I. for last 6 months = Rs. ( 105 X 10 X 1/100 X 2 ) = Rs. 5.25. So, amount at the end of 1 year=Rs.(100 + 5 + 5.25) = Rs. 110.25 Effective rate = (110.25 – 100) = 10.25%.

Explanation

Prime factorization of

25 is (5 × 5)

45 is (3 × 3 × 5)

As visible, 25 and 45 have only one common prime factor i.e. 5.

Hence, the GCF of 25 and 45 is 5.