Answer:
72
Step-by-step explanation:
This is assuming the following:
1) fork boxes comes with 12 count.
2) spoon boxes comes in 18 count.
3) knife boxes comes in 24 count.
Find the least common factor:
12: 12, 24, 36, 48, 60, 72
18: 18, 36, 54, 72
24: 24, 48, 72
72 is the least common factor shared by all these numbers.
~
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be 
The next will be; 
The nth term will be 
For each of the successive terms to be less than the previous term;
then 
must be a proper fraction;
This implies that:
<em>Where 7 is the denominator</em>
<em>The sets of </em><em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
It would be .5x-5= because it says 5 less so it would be subtract 5 from half of x.
Answer:
The height of the tree is
18.67
feet
Step-by-step explanation:
Explanation:
The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.
You can write this as a direct proportion. (height : shadow)
2 is to 1.5 as what is to 14?
2
1.5
=
x
14
←
cross multiply
x
=
2
×
14
1.5
x
=
18.67
feet
