Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
Subtract n to get all of your variables to one side:
At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
Now divide both sides by 11 to get the value of n:
Answer: It is not prime , therefor it's composite.
Step-by-step explanation:
Because....
The number 27 can be evenly divided by 1, 3, 9 and 27, with no remainder.
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Answer:
1.0
Step-by-step explanation:
The 6 is bigger than 5, so that bups the number up to 1.0.
Answer: Find the GCD (or HCF) of numerator and denominator. GCD of 70 and 20 is 10.
70 ÷ 1020 ÷ 10.
Reduced fraction: 72. Therefore, 70/20 simplified is 7/2.
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
