In order to play in the bounce house at the party, children must weigh within 8 pounds of the 34 pound weight recommendation,
a. What is the margin of error?
b. Express the acceptable weights as an interval.
c. Write an expression in the format to represent the interval.
d. Sally weighs 44 pounds. Can she play in the bounce house?
Co search
O

a) 8 pounds.

b) [26,42]

c)

d) Weight above 42 pounds, so she cannot.

Step-by-step explanation:

a. What is the margin of error?

Within 8 pounds, so margin of error of 8 pounds.

b. Express the acceptable weights as an interval.

34 - 8 = 26

34 + 8 = 42

[26,42]

c. Write an expression in the format to represent the interval.

d. Sally weighs 44 pounds. Can she play in the bounce house?

Weight above 42 pounds, so she cannot.

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'.