Answer:
1/80 of the agency's employees have PhDs.
Step-by-step explanation:
Given that:
Total number of employees = 4000
Number of employees with bachelors degree = 1000
Fraction of employees with graduate degree = 1/4 of 1000 = 250
1/5 of the employees with graduate degrees have PhD.
Number of employees with PhDs = 1/5 of 250 = 50
Now,
Fraction of PhD employees to total employees = 
Hence,
1/80 of the agency's employees have PhDs.
Answer:
Dylan
Step-by-step explanation:
Rate of Origami Making
1) June
= 10/30
= 1/3 origami birds per minute
2) Dylan
= 4/10
= 2/5 origami birds per minute
2/5 > 1/3
So Dylan was faster.
Answer:
5 weeks
Step-by-step explanation:
32
21
week 1 over ^
34
26
week 2 over^
36
31
week 3 over ^
38
36
week 4 over ^
40
41
week 5 over ^
First we define variables:
x: Money Peter receives
y: Money Paul receives
z: Money Jane receives
We write the system of equations:
x / y = 13/12
x / z = 13/7
x = z + 78
Solving the system we have:
x = $ 169
y = 156 $
z = 91 $
Answer:
Paul gets 156 $
2/3 x -4 = -2 add 4 to both sides
2/3 x -4 +4 = -2 +4
2/3 x = 2
mutliply both sides by 3/2
(3/2) * (2/3) x = (3/2) * 2
x =3
