First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
Answer:
The total number of units produced is 6 .
Step-by-step explanation:
Given as :
The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour
The total earning of worker per hour = $ 27
Let The total number of unit produced = x
According to question
The wage worker earn per hour + earning × per unit produced that hour = Total earning of worker per hour
Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27
Or, $ 2.50 each unit per hour × x = $ 27 - $ 12
Or, $ 2.50 each unit per hour × x = $ 15
∴ x = 
Or, x = 6
Hence The total number of units produced is 6 . Answer
Answer:
Will earn $74.38 in interest or for the total $924.38 for the total amount accrued, principal plus interest
Step-by-step explanation:
I = p x rt
I = 850 x 0.035 x 2.5 = 74.38 (interest)
P' = p + I = 850 + 74.38 = 924.38
Answer:
1/13
Step-by-step explanation:
there are 4 kinds and 52 cards so its 4/52 which simplifies to 1/13
