Answer:
2 solutions
-4 and 4 are possible answers
Step-by-step explanation:
<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>
Answer:
12. Y=8 is the answer I have the explain
13. X=-1 is the answer I have the explain
Step-by-step explanation: hope this help
Answer:
a(n) = -351+8(n-1)
Step-by-step explanation:
This is an arithmetic sequence. Each new term is equal to the sum of the previous term and 8.
The expression you want is a(n) = -351+8(n-1)
Answer:
As a fraction: 39/4 or 9 3/4
As a decimal: 9.75
As a percentage: uhhhhh- 75% of the colors.
As an integer: 10
Step-by-step explanation:
Multiplying fractions, you get 39/4 or 9 3/14
Pull out your calculator(or divide on paper), to get 9.75
Round that to 10.
3/4 = 75%
Hope this helps!