Answer:
Step-by-step explanation:
We are given the following expression and we are to simplify it:
Re-arranging this expression by writing the like terms together to get:
Now simplifying it by adding and subtracting the terms to get:
Combine like terms:
5a-7a=-2a
3b+4b=7b
-2a+7b
Hope this helps!!
Answer: 6720
Step-by-step explanation:
The number of permutations of n things taken r at a time is given by the following formula:
Similarly, for n=8 and r=5, the number of permutations of 8 things taken 5 at a time will be:
Hence,
The permutation is solved and the expression is ⁸P₅ = 6,720
Given data ,
The notation "8P5" represents the permutation of 8 objects taken 5 at a time.
The formula for permutation is given by: P(n, r) = n! / (n - r)!
Using this formula, we can calculate ⁸P₅ as follows:
permutation ⁸P₅ = 8! / (8 - 5)!
⁸P₅ = 8! / 3!
⁸P₅ = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
⁸P₅ = 8 * 7 * 6 * 5 * 4
permutation ⁸P₅ = 6,720
Therefore, the expression ⁸P₅ is equal to 6,720
Hence , the permutation is solved
To learn more about permutation click :
#SPJ6
b. What fraction of the house can Tim paint in d days? What fraction of the house can Tara paint in d days?
c. What fraction of the house can Tim and Tara together paint in one day? What fraction of the house can Tim and Tara together pain in d days?
d. Write and solve an equation to find the number of days it will take Tim and Tara to paint the whole house working together?