Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
_____
The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
So #1 you're lazy like me. But
1: x=1
2. No solution
3: x= -4/-3
4: 46=13 false
5: 37=-37 false
Multiply the rate per hour by the number of hours (n) and add the deposit.
A)
Bike shop x: c = 2.75n + 3.00
Bike shop z: c = 1.75n + 7.00
B) to find when they will cost the same set the equations equal to each other and solve for n:
2.75n + 3.00 = 1.75n + 7.00
Subtract 3 from each side:
2.75n = 1.75n + 4.00
Subtract 1.75n from both sides:
1.00n = 4.00
Divide both sides by 1:
n = 4 hours
Answer:
556, 558, and 560
Step-by-step explanation:
1674/3 = 558 (An even number, yay)
So 558 + 558 + 558 = 1674
Subtract two from the first one and add two to the last (still equal)
556 + 558 + 560
adding them equals 1674 so the answer is
556, 558, and 560
Answer: 18 square ft.
Step-by-step explanation:
Surface area is length*width. 1*1= 1*6= 6
since there are three cubes, it is 6*3= 18 square ft total.
