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: 3,750 miles
Step-by-step explanation:
Route takes him 125 miles each way so in a day he travels:
= 125 + 125
= 250 miles
He made 15 roundtrips so total miles is:
= 15 * 250
= 3,750 miles
Answer:
Step-by-step explanation:
-5f=-3(8-f)
Opening bracket
-5f = - 24 + 3f
Collecting like terms
-5f - 3f = -24
-8f = -24
Dividing by -8
f = -24/-8
f = 3
Answer:the mean is 6.1 the mode is 5 and 7.
Step-by-step explanation: the mean is 6.1 because the number add up to 61 and there are 10 numbers 61/10=6.1
The mode is 5 and 7 because they occur most frequently
Remember, you can do ANYTHING to an equaiton as long as you do it to BOTH SIDES
we can try to get k by itself bymaking that -17 into 0 since k+0=k
-17+17=0 right so
K-17=-12
add 17 to BOTH SIDES
K+17-17=17-12
K+0=5
K=5
