Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
Answer:
86
Step-by-step explanation:
There are two terms n2 and -5. n2 is the first term and -5 is the second term
Answer:
3,960 degrees
Step-by-step explanation:
The sum of interior angles of a polygon can be found using:
S= (n - 2)*180
where s is the sum, and n is the number of sides.
This is a 24 sided polygon. Therefore, substitute 24 in for n (number of sides).
S = (24 - 2)*180
Subtract inside the parentheses first
S= (22)*180
Multiply 22 and 180
S=3960
The sum of the interior angles of a 24 sided polygon is 3,960 degrees
