Answer:
width=3
length=9
Step-by-step explanation:
1/2 perimeter: 24/2=12
let x: width; y: lenght
y=2x+3
x=12-y
y=2(12-y)+3
y=24-2y+3
y+2y=27
y=9
x=12-9=3
Answer:
Step-by-step explanation:
Given
Consider the numerator:
Consider the denominator:
Hence, the fraction becomes
Consider the expression in brackets:
Divide:
<span>i believe it should be 17 19 and 23 but i could be wrong. </span>
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
Working alone Joan finish the job in 60 minutes, which means every minute she does 1/60 of the whole job.
suppose the sister can finish the job alone in x minutes, every minute she does 1/x of the whole job.
together they do (1/60 +1/x) part of the job every minute.
for 40 minutes they finish the whole job: (1/60 +1/x)*40=1 (1 represents the whole job)
40/60 +40/x =60/60
40/x=20/60
x=120
so it will take the sister 2 hours to finish the job alone
