The 8th graders at Suncrest and Moonvalley planned separate trips to the water park. Suncrest rented and filled 3 vans and 5 buses with 259 students. Moon valley rented and filled 9 vans and 8 buses with 469 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

A Van can carry 13 students and a bus can carry 44 students.

As given in the question number of students in each bus and each van carried same number of students.

Let the number of students in van be x.

Let the number of students in bus be y.

According to the question the equations will be

 --------> Eqn. (1)

---------> Eqn. (2)

On multiplying Eqn(1) by 3 and subtracting with Eqn(2) we get



On putting value of y in eq (1) we get

Therefore number of students in van is 13 and bus is 44.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values