Answer:
b) 0.0625
Step-by-step explanation:
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:
Each of the other cats have 45 whiskers on average.
Step-by-step explanation:
Let x represent the average number of whisker of each cat.
We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.
The total number of whiskers of six cats would be 
.
Since one of the cats has 17 whiskers, so the total number of whiskers of 7 cats would be 
We will use average formula to solve our given problem.
Upon substituting our given values, we will get:
Let us solve for x.
Switch sides:
Therefore, the each of the other cats have 45 whiskers on average.
Answer:
correct answer options are ; C and D
Step-by-step explanation:
By definition, vertical angles are those that are opposite each other when two lines cross and are equal.
Observing the given options;
C. ∠LRE and ∠FRA
D.∠TRF and ∠NRL
In the other options given, it could have been correct if stated as;
A. ∠ARS and ∠ERO
B. ∠NRA and ∠TRE
Answer:
formula is 6a²= surface area
but since one side is not being painted it is
5a²= surface area
5(3.2)²
=51.2cm
