Answer:
So what’s the question?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given: In parallelogram DEFG,
DH = x + 1
HF = 3y
GH = 3x - 4
and HE = 5y + 1
Solution: Since, DH,HF, GH and HE represents the diagonals of the parallelogram and we know that the diagonals of the parallelogram bisect each other, therefore
x+1=3y (1)
3x-4=5y+1 (2)
Multiply equation (1) with 3 and then subtract equation (2) from it, we get
3x+3-3x+4=9y-5y-1
7=4y-1
y=2
Substituting the value of y=2 in equation (1), we get
x+1=3(2)
x=5
Therefore, the value of x and y are 5 and 2 respectively.
Put common terms in evidence and simplify:
Answer:
$5
Step-by-step explanation:
Let the number of students be x, then
<u>Initial amount per student was:</u>
<u>After it becomes:</u>
<u>Since amount increased after, it can be shown as:</u>
<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>
- 100(x-5) + x(x - 5) = 100x
- 100x - 500 + x² - 5x - 100x = 0
- x² - 5x - 500 = 0
<u>Positive solution of this quadratic equation is </u>
<u>Amount each person paid after:</u>