The numbers DO differ by 10 if they are
- 1 and 11
- 2 and 12
- 3 and 13
- 4 and 14
- 5 and 15
Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.
So the answer is (a) 5.
For this case we have the following expression:
414x - 812y - 414x
Rewriting we have:
414x - 414x - 812y
We group similar terms:
(414x - 414x) - 812y
Adding we have:
0 - 812y
- 812y
Answer:
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have


The least common multiple are those common and non-common numbers with the greatest exponent
so

Answer:
.69
Step-by-step explanation:
Answer: $1000
Step-by-step explanation:
Annual demand (D) = 8000
Cost per order (S) = $1000
Cost per unit to print = $8 per book
Storage cost = $2 per book per year
The minimum total cost can be found thus :
√(2 × D × S) / storage cost * cost per unit
√(2 × 8000 × 1000) / (2 * 8)
√ (16,000,000 / 16
√ (1,000,000
= 1000
Hence , minimum total cost $1000