X to the 14th power over y to the 18th power is ur answer
Ok so
The first division problem’s answer is 12.
The second division problems answer is 9.
The third division problem’s answer is 8.
Now put those as the denominators of the fractions.
If that isn’t what they’re asking for then I don’t know but I hope this helps!
<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: 62
Step-by-step explanation: Set up your equation
- 21+x=2x-41 because the number (x) that 21 is added to is 41 <em>less than</em> (so subtraction) <em>twice </em>(so multiply the number x by 2) the number (x).
- Get the x's on one side by subtracting the single x
- 21=x-41
- Now add 41 to both sides to completely isolate x
- 62=x
- So, your answer is x=62. The number is 62.
Check your work. 62+21=83. 2(62)= 124. 124-41=83. Both equations equal 83, so the solution is correct.
