Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5
Answer:
4n-2=7, the number is 2.25
Step-by-step explanation:
4n=9
n=2.25
Answer:
Step-by-step explanation:
x²-px-p-c=0
sum of roots=α+β=-b/a=p
product of roots=αβ=c/a=-p-c
(α+1)(β+1)=αβ+α+β+1=-p-c+p+1=-c+1
Answer:
60 professors and 168 lecturers
Step-by-step explanation:
What you have is a 2 equations system with 2 unknown variables.
Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:
X + Y = 228
Then, as there are 5 professors for every 14 lecturers:
5 X = 14 Y or X = (14/5) Y
Replacing this last value of X on the first equation:
(14/5) Y + Y = 228
(14/5) Y + (5/5) Y = 228
(19/5) Y = 228
Y = 228 * (5/19)
Y = (228*5)/19
Y = 1140 / 19
Y = 60
Then we can find X:
X = (14/5) Y = (14/5) * 60 = 168
X = 168
:)
