The shortest height at which the two stacks will be same is 72 inches.
Step-by-step explanation:
Given,
Boxes that are 18 inches tall are being stacked next to boxes that are 24 inches tall.
It means that we will find least common factor of both the boxes;
18 = 2*3*3
24 = 2*2*2*3
LCM = 2*2*2*3*3 = 72
The least common multiple of 18 and 24 is 72, therefore,
The shortest height at which the two stacks will be same is 72 inches.
Keywords: LCM, multiplication
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Answer:
The answer would be c
Step-by-step explanation:
Answer:
Distance xy is 6
Distance yz is 11
Step-by-step explanation:
Given that the full length between x and z, xz = 17
Point y is located along xz where :
yz = 3x-10
xy = 2x-8
A simple sketch to show the distance and points can be;
x----2x-8---------y------3x-10-----------z
-----------------------17-----------------------
So you can see from this sketch that;
(2x-8) +(3x-10) = 17
2x-8+3x-10=17
5x-18=17
5x=17+18
5x=35
x=35/5 = 7
x=7
Distance xy=2x-8 = 2(7)-8 = 14-8 = 6
Distance yz=3x-10 = 3(7)-10 = 21-10 =11