Find the missing element in the following base-rate-percentage problem.
43 is 120% of what number?

0.36
3.58
358.33
35.83

35.83

Step-by-step explanation:

To Find:43 is 120% of what number?

Solution:

Let number be x

Since we are given that 43 is 120% of what number

⇒43=120% of x

⇒

⇒

⇒

⇒

⇒

So, 43 is 120% of 35.83

Hence Option D is correct

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.