Geraldo wants to start a group bike ride on sunday mornings for students at his school. he asked 30 students in the lunchroom how many miles they ride their bikes each month. he obtained the following results. 8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0 the fraction x/30 shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. what is the value of x?

x = 4 is the answer.

Step-by-step explanation:

List of rides in a month of 30 students have been given in the question.

We have to find the value of x if fraction x/30 shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed.

Therefore x/30 = 4/30

x = 4×30/30 = 4

So x = 4 is the answer.

attachment?

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