Answer:
Step-by-step explanation:
<h2><u>An exponent is multiplying a number by itself as many times as the exponent says so.</u></h2><h2><u /></h2><h2><u>So we need to find a number that times itself 3 times.</u></h2>
-4 fits this.
-4 x -4 x -4
==> -64
z = -4
Answer:
umm
Step-by-step explanation:
2) 
is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)
3) 
bisects 
(diagonals of a rhombus bisect the angles from which they are drawn)
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>
8 5 and 18 8
7 2 9 2
8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6
