Translate into an algebraic expression and simplify if possible. The value of a number whose units digit is x and whose tens digit is three more than the units digit.

11x + 30

Step-by-step explanation: Algebraic expression is a way of use letters to express relationships between algarisms.

For this question:

Units digit = x

Tens digit = 10(x + 3)

The number in question is:

10(x + 3) + x

10x + 30 + x

To simplify, add, subtract, multipy or divide similar terms:

As x is of the first order:

10x + x + 30

11x + 30

The simplified algebraic expression is 11x + 30

answer: it's d

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240