Answer:
Step-by-step explanation:
let x = how many joe sold
let 4x = how many abe sold
900 = x + 4x
900 = 5x
180 = x
joe sold 180
and abe sold 4x
4(180) = 720
hat means Abe sold 720 trucks
finally, let's check our answer to make sure the total is 900
180 + 720 = 900
our answer is right
Answer:
5
Step-by-step explanation:
(4+4y)/3 = x 4+4y+4y = 4+8y=16 12=8y 12/8= 6/4 = 3/2 y= 1.5(4) = 6 +4 = 10
3x=10 10/3 = x x*y = 1.5 times 10/3 = 5
The conclusion is that the system does not have a solution. This is that the equations written do not have an intersection point, they represent parallel lines and, for any x value, one line is always over the other.
In terms of the landscapers charges, it means that the two landscapers have the same hourly rate (the slope of the lines) but different fees..
For example imagine one landscapers charges $0.5 the hour plus a fixed $5 fee
The correspondan equation would be: y = 0.5x + 5
If the other charges $0.5 the hour and a fixed $20 fee. the correspondant equation would be y = 0.5 x + 20
When you try to solve the system you get:
0.5x + 5 = 0.5x + 20
You can remove the 0.5x terms because they appear in the two sides, then
5 = 20.
Which means that the two costs will never be equal.
.
Answer:
Step-by-step explanation:
We apply the formula .
Note that . Take and in the formula above to get
Then the value of this expression is
We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:
Applying the formula with and we obtain
We conclude that this expression has the value