Answer: 3(x minus 5.50) = 111.75; the monthly Internet service is $42.75
Step-by-step explanation:
Given the following :
Total amount spent on internet for 3 months = $111.75
Monthly credit received on bill = $5.50
Monthly Credit of $5.50 means $5.50 is deducted from the amount being paid on thir bill monthly.
Assume their monthly internet service fee = x
The amount paid before the credit deduction each month:
Amount paid - credit
(x - $5.50)
For 3 months :
3 × (x - $5.50) = $117.75
3(x - $5.50) = $117.75
Monthly fee paid before credit deduction:
3(x - $5.50) = $117.75
3x - $16.50 = $117.75
3x = $117.75 + $16.50
3x = $128.25
x = $128.25 / 3
x = $42.75
Answer:
36
Step-by-step explanation:
Using pythag, 60^2 - 48^2 = 3600 - 2304, which is 1296, whose square root if 36. This is also a 3-4-5 triangle.
Answer:
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Step-by-step explanation:
Let
x ---> the number of children's tickets sold
y ---> the number of adult tickets sold
we know that
the theater sold 33 tickets
so
-----> equation A
the theater made a total of $158.50
so
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (31,2)
see the attached figure
therefore
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:
-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18
Thus the equation for the line is y = 1x - 18
