Let us suppose the number is x. Now we try to make an algebraic expression going step by step.
Step 1:
Five times the number means 5 multiplied by x.
So it becomes 5x.
Step 2:
Sum of 14 and five times the number means 5x+14.
Step 3:
Number multiplied by -8 means -8x.
Step 4:
Subtract the expression in step (3) from expression in step (2)
5x+14-(-8x)
Now we can simplify it further,
5x+14+8x
Combining like terms,
13x+14
Answer: The final expression becomes 13x+14.
Answer:
(72-40) = 8 x (9-5)
Step-by-step explanation:
GCF = 8
(72-40) = 8 x (9-5)
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Given:
To find:
The correct equivalent equation.
Solution:
We have,
Taking sin on both sides, we get
![[\because \sin (\sin^{-1}\theta )=\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%28%5Csin%5E%7B-1%7D%5Ctheta%20%29%3D%5Ctheta%5D)
Interchanging the sides, we get
Therefore, the correct option is 4.
