Group of students were surveyed to find out if they like working in a store and/or mowing lawns during the holidays. The results of the survey are shown below: 35 students like working in a store
6 students like working in a store but do not like mowing lawns
38 students like mowing lawns
10 students do not like working in a store

Four students created the tables below to represent the data. WS represents working in a store and ML represents mowing lawns.

Tim
Like WS Do Not Like WS Total
Like ML 2 32 34
Do Not Like ML 5 8 13
Total 7 40 47
Heidi
Like WS Do Not Like WS Total
Like ML 32 2 34
Do Not Like ML 8 5 13
Total 40 7 47
Shaun
Like WS Do Not Like WS Total
Like ML 5 24 29
Do Not Like ML 3 8 11
Total 8 32 40
Kim
Like WS Do Not Like WS Total
Like ML 29 9 38
Do Not Like ML 6 1 7
Total 35 10 45
Which student's table is correct? (1 point)

Tim
Heidi
Shaun
Kim

b

step-by-step explanation:

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'.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!