The ski mountain is a popular winter holiday vacation spot. This year the students at university and students at university both planned trips there. The students at university A rented and filled 16 vans and 8 buses and 752 students. The students at university B rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. Use elimination to solve the system of linear equations and determine how many students a van can carry, x and how many students a bus can carry, y. Write your answer as an ordered pair (x, y).

Step-by-step explanation:

Let us assume the the number of students a van can carry  = x

Let us assume the the number of students a bus can carry  = y

At university A:

Total number of students = 752

Total number of vans = 16

So, total students carried by 16 vans  = 16 x

The total number of buses  =   8

So, total students carried by 8 buses = 8 y

⇒  16 x +  8 y = 752

or, 2 x  + y = 94  ... (1)

At university B:

Total number of students = 380

Total number of vans = 5

So, total students carried by 5  vans  = 5 x

The total number of buses  =  5

So, total students carried by 5 buses = 5 y

⇒  5 x +  5 y = 380

or, x  + y = 76     ... (2)

Now, solving (1) and (2) , we get:

2 x  + y = 94  

x  + y = 76

(-)    (- )     (-)    ⇒  2 x  - x +  y - y = 94 - 76

or, x  = 18

Substituting in (2) , we get: y = 76 - 18 = 58  , or y = 58

So, the number of students in each van = 18

The number of students in each bus  = 58

(x,y) = (18,58) is the ordered pair

what graph

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet