Smoky Hill DECA and Grandview DECA are both heading down to the state finals in Colorado Springs. Smoky Hill took 8 vans and 8 mini-busses with 240 students while Grandview took 4 vans and 1 mini-bus for a total of 54 students. How many students does a van Hold? How many students does a mini-bus hold?

number of students in a van = 8

number of students in a minibus = 22

Step-by-step explanation:

Let

x = number of students in a van

y = number of students in a minibus

8x + 8y = 240 (1)

4x + y = 54 (2)

Multiply (2) by 8 to eliminate y

4x + y = 54 ×8

32x + 8y = 432 (3)

8x + 8y = 240 (1)

32x + 8y = 432 (3)

Subtract (1) from (3)

32x - 8x = 432 - 240

24x = 192

Divide both sides by 24

x = 192 / 24

= 8

x = 8 students

Substitute x = 8 into (2)

4x + y = 54

4(8) + y = 54

32 + y = 54

y = 54 - 32

= 22

y = 22 students

number of students in a van = 8

number of students in a minibus = 22

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)