Five half-full classes + three 3/4 full classes + 2 1/8 empty (which is 7/8 full) classes altogether give us 10 classes without 70 students. Let's assume that one class is x, so we can write it as:
5 * 1/2x + 3 * 3/4x + 2 * 7/8x = 10x - 70
After multiplying and changing it to decimals:
2,5x + 2,25x + 1,75x = 10x - 70
6,5x = 10x - 70 / - 6,5x (both sides)
0 = 3,5x - 70 / + 70 (both sides)
70 = 3,5x / :3,5 (both sides)
x = 20
Check:
5 * 1/2 * 20 + 3 * 3/4 * 20 + 2 * 7/8 * 20 = 10 * 20 - 70
5 * 10 + 3 * 15 + 2 * 17,5 = 200 - 70
50 + 45 + 35 = 130
130 = 130
Correct - there are 20 students in each class (200 students overall)
Answer: There are 200 students in the school when no students are absent.
Answer: 234
Step-by-step explanation:
A golden rectangle is a rectangle whose length is approximately 1.6 times its width.
Mike Hallahan would like to plant a rectangular garden in the shape of a golden rectangle.
If he has "234"* feet of fencing is available, find the dimensions of the garden. *Makes more sense.
:
let w = the width of the garden
then
1.6w = the length
:
2(1.6w) + 2w = 234
3.2w + 2w = 234
5.2w = 234
w = 234/5.2
w = 45 ft is the width
and
1.6(45) = 72 ft is the length
:
:
Check
2(72) + 2(45) =
144 + 90 = 234
1/4+5/12=3/12+5/12=8/12=4/6=2/3
they painted 2/3 of the fence
Answer:
D
Step-by-step explanation:
more money for everyone = higher price of goods
