1 km=0.62 mi
45 km- x mi
x=45*0.621*1=27.95
Answer <span>B)27.96miles</span>
Answer:
31877 people with live in the town in 2016 if the population increases at a rate of 6% every 2 years
Step-by-step explanation:
The formula used will be
A(t) = P(1+r)^t
A(t) = Future value
P = population
r = rate
t = time
P= 20,000
r =6% or 0.06
t = 16
Since population is increased every 2 years, so t = 16/2 = 8
Putting value:
A(16) = 20,000(1+0.06)^8
A(16)= 20,000(1.06)^8
A(16) = 31876.9 ≈ 31877
So, 31877 people with live in the town in 2016 if the population increases at a rate of 6% every 2 years
There are two ways to solve system of equations.
1) substitution method
2) elimination method
4x - y = -6
x - 2y = -5
For thus problem, i'll be using the substitute method.
So, using the equation x - 2y = -5:
Solve for "x" by adding 2y to both sides of the equation.
x = 2y - 5
Now we know what "x" is, we can substitute it in the other equation.
4x - y = -6
4(2y - 5) - y = -6
8y - 20 - y = -6
7y - 20 = -6
7y = 14
y = 2
We now know the numerical value of y. So, all we have to do is plug in y into either system of equation to solve for the numerical value of x.
4x - 2 = -6 x - 2y = -5
4x = -4 x - 2(2) = -5
x = -1 x - 4 = -5
x = -1
The solution is (-1, 2) where x equals -1 and y equals 2.
Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
