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
Answer:
Step-by-step explanation:
1. To write the number given in the problem (4,498,000,000) in scientific notation you must write it in the following form:
2. The decimal point must be written after the first digit and the exponent b must be positive and indicates the number of times the decimal point is move to the right. Therefore, you have:
Answer:
Zx = 24 degrees
Step-by-step explanation:
since it is supplementary it adds up to 180 degrees. so you have part of the angle (156 degrees) so the equation would be 180 - 156 = Zx (origionally Zx + 156 = 180).
Answer:
9 digits
Step-by-step explanation:
when doing multiplication with decimals the amount of digits after the decimal in the final product will be the sum of the amounts of digits after the decimal in the two numbers being multiplied together
For example, If you were to multiply 6.789 by 10.321 the answer would be 70.069269. There are six digits after the decimal because the numbers being multiplied each have three digits after their decimals
(If that makes sense. If not, I'm sorry)
a) fraction notation 1/5 and percent notation is 20% or just 20
b) 1/5