the graph shows the education levels of individuals in one town. if 500 people were surveyed, how many have a college degree or some college?

135

175

300

310

Option D, 310

Step-by-step explanation:

In the given graph 500 people were surveyed.

Now we have to calculate the number of individuals who have a college degree or some college.

Now from the given pie chart.

College degree individuals = 25% of 500

                                             = 0.25 × 500

                                            = 175

Individual with some college = 27% of 500

                                                = 0.27 × 500

                                               = 135

So the total of college dgree + some college = 135 + 175 = 310

Option D 310 is the answer.

(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