Hi there!
To factor this expression, you must first find the greatest common factor of each term, 16x and 40y.
To do this, first list the factors of each coefficient since they do not share any variables:
16:1,2,4,8,16
40:1,2,4,5,8,10,20,40
Notice that among the factors of each term, 8 is the greatest common factor.
Finally, factor 8 from the expression to get 8(2x+5y) as your final answer.
Hope this helps, and have a nice day!
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
Answer:
C. 29.50p + 15 = 133
Step-by-step explanation:
p is the number of people going to concert
so the total cost of tickets: $29.50 times the number of people = 29.50p
and add the parking cost $15
so the total is 133 = 29.50p + 15 or 29.50p + 15 = 133
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years
