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:
Vertical stretch of factor of 3
translated to the right 2
translated up 5
Step-by-step explanation:
Step-by-step explanation:
Translations: When a figure is slid to another place on the coordinate grid (for example if i asked you to move the figure 2 units down and 4 units to the left)
Reflected: When a figure is reflected across the y-axis or the x-axis and both figures are congruent to each other.
Rotated: When a figure is rotated (for example if i asked you to rotate the figure 90 degrees)
Answer:
All events are independent
Step-by-step explanation:
You are given the table
Two events A and B are independent when
a) A="Chocolate"
B="Adults"
A and B="Chocolate and Adults"
Since 
events are independent
b) A="Children"
B="Chocolate"
A and B="Children and Chocolate"
Since 
events are independent
c) A="Vanilla"
B="Children"
A and B="Vanilla and Children"
Since 
events are independent
