Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) , where c is the circumference of a circle and d is its diameter
(2) , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) .
We can rearrange equation (1) to put d in terms of π and c, giving us (4) , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π:
We analyze the linear function to find that it has equation
. Drawing the line, we find that it
will intersect the circle at negative and positive x-coordinates.We can prove this by
substituting into the given equation:
Hence,
or
, so there are both positive and negative values for
.
Answer:
Step-by-step explanation:
The formula to find the final amount after getting simple interest :
, where P is the principal amount , r is rate of interest ( in decimal )and t is time(years).
Given : Justin deposited $2,000 into an account 5 years ago.
i.e. P = $2,000 and t= 5 years
He has just withdrawn $2,876.
i.e. we assume that A = $2876
Now, Put all the values in the formula , we get
In percent,
hence, He earned of interest on account.
Answer:
The minus 3 in the square will shift the graph to the right 3 x-coordinates and the minus 8 in the outside will move the graph downwards by 8 y-coordinates.
Step-by-step explanation:
The minus 3 in the square will shift the graph to the right 3 x-coordinates and the minus 8 in the outside will move the graph downwards by 8 y-coordinates.