18. You run along a path at a constant speed of 5.5 miles per hour. How far do you travel in 1.5 hours? in 3.8 hours?
2 answers:
You might be interested in
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
_____
The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
Answer:
or
Step-by-step explanation:
Given:
A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.
Remaining peaches = 4
We need to find the original number of peaches in the basket.
The farmer gives the total number of peaches =
Let x be the former gives the total number of peaches
We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.
We add the remaining peaches by given peaches for the original number of peaches in the basket.
Original number of peaches =
Original number of peaches =
Original number of peaches =
Original number of peaches =
Original number of peaches =
Therefore the original number of peaches in the basket is or