Answer: 5 benches and 23 students
Step-by-step explanation:
I will answer in English.
We have E students and B benches.
If we sit 4 students per bench, we have 3 students left.
then:
E = 4*B + 3
And if we sit 5 students per bench, there are two places with no students sited.
E = 5*B - 2
now we can replace the E in the second equation with the right part in the first equation:
4*B + 3 = 5*B - 2
3 + 2 = 5*B - 4*B
5 = B
So we have 5 benches, and:
E = 4*5 + 3 = 23 students.
130x5=650
650-104=546
546-137=409
409-154=255
255-131=124
x=124
The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.
The distance between the two points is 1.3.
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)
24/x = 8/5
24*5 = x*8
120 = 8x
8x = 120
8x/8 = 120/8
x = 15
The tree is 15 feet tall
1. 10x+6=8-2(x+6)
2. 10x+6=6(x+6)
(distribute the 6)
3. 10x+6=6x+36
(Move the 6x to the other side by subtracting)
4. 4x+6=36
(Move the 6 to the other side by subtracting)
5. 4x=30
(divide)
x=7.5
Hope this helped! :)
