Answer:
5 rolls
Step-by-step explanation:
If the perimeter around the square footage of the ceiling is equal to 12 + 12 + 12 + 12 = 48, even though the number is 48, in order to have all of the footage covered, Katie would need to buy (at least) 5 rolls.
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The mistake is in step 4. It's correct up to step 3. Step 3 shows: $293.25 * 1/6 (this is correct) Now you must multiply $293.25 by the fraction 1/6, which is the same as dividing $293.25 by 6. Instead, in step 4, $293.25 was multiplied by 6. Step 4 is the mistake.
Given:
Consider the given function:
To prove:
Solution:
We have,
Substituting , we get
Substituting , we get
Substituting , we get
Using the algebraic formula, we get
[Commutative property of addition]
Now,
Hence proved.
ANSWER
1. 3391680
2. 3876
EXPLANATION
1. We want to find the value of:
This is called "12 permutation 7"
Permutation function is defined as follows:
Therefore, we have that:
2. We want to find:
This is called "19 combination 15"
Combination function is defined as:
Therefore, we have that: