What is this question asking for as an answer? It only has the robot's situation listed, not what the question is. Could you please put the question into further detail?
Since the first line passes thru the origin, you can read off its slope from the coordinates of the other point (3,2): the slope is m = 2/3.
A line perpendicular to the first has slope -3/2, the negative reciprocal of 2/3.
Thus, the perpendicular line is y = (-3/2)x + b. Subbing 0 for y and 0 for x, we get b = 0. Therefore, the equation of this new line is y = (-3/2)x.
Answer:
He needs 0.075 lbs of sugar and 4.925 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 1.5%
Write a proportion:
Cross multiply:
So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.
To solve this, we combine like terms. Our equation becomes:
-2u + 13 = -5
Now to subtract both sides by 13 to find that:
-2u = -18
Finally, we divide both sides by the coefficient and find that:
u = 9
