Answer: The lowest common multiple of 12, 18, and 56 would be 504. Why? Well, see below for an explanation!
Step-by-step explanation: What is the lcm? Well, the lcm of two or more numbers is the lowest possible number that each number has in common as a multiple. Because we are dealing with large numbers, we can tell that the lcm will be a multiple of these numbers times at least 5. I multiplied all the numbers by 10, and it was too large and did not work. However, I backed up and tried 9.
56 x 9 = 504.
Why is this acceptable? Well, this is acceptable because I found that 504 can be divided by 12 and 18 both to get a whole number.
504 divided by 18 equals 28.
504 divided by 12 equals 42.
Using this principle, we will find that 504 is the lowest number that 12, 18, and 56 have in common.
Your final answer: 504 is the lowest common denominator. If you need extra help, let me know and I will gladly assist you.
1/4
if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish
You divide the 15x by the 124. I know it sounds weird because you'll get a decimal, but that is what you are supposed to do because 124 is not a factor of 5.
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>
ONE SOLUTION:
<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>
INFINITELY MANY SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + 2</em>
Examples:
2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>
3 = 5 FALSE <em>(NO SOLUTIONS)</em>
2x + 3 = x - 4 <em>subtract x from both sides</em>
x + 3 = -4 <em>subtract 3 from both sides</em>
x = -7 (<em>ONE SOLUTION)</em>
2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>
3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>
y = -3.7x + 1 when x = -2
Plug in:
y = -3.7(-2) + 1
-3.7(-2) = 7.4
y = 7.4 + 1
7.4 + 1 = 8.4
y = 8.4
Answer - C) 8.4
Hope this Helps!!
