Answer:
Answer is C
Step-by-step explanation:
"(x^2y + 6)" is the one among the following choices given in the question that is one <span>of the factors of x^2y^3 - 11x^2y + 6y^2 - 66. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.</span>
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Answer:
482 scones.
Step-by-step explanation:
Given:
Cost of each scones = $1.50
Their current profits are $578.40 which is 80% of his total sales.
Question asked:
How many scones have they sold ?
Solution:
Let total number of scones sold = 
Cost of 1 scone = $1.50
Cost of scones = $1.50 
(Unitary method)
80% of his total sales = $578.40 (given)
Dividing both sides by 1.2
Thus, they have sold 482 scones.
