The answer is (24, 24).
Solution:
To find the point M that divides segment AB into 2:3 or 2/3 ratio, we determine k by writing the numerator of the ratio over the sum of the terms in the given ratio. Then, we calculate for the coordinates of point M from the slope of the line segment and the coordinates of A = (x1, y1) = (0, 0) and B = (x2, y2) = (60, 60) using the equation
(x, y) = (x1 + k(x2 - x1), y1 + k(y2 - y1) )
Therefore,
M = (x, y) = (0 + (2/5)(60 - 0), 0 + (2/5)(60 - 0)) = (24, 24)
Answer: x = - 8
Step-by-step explanation:
= 8
cross multiplying , we have
8 ( 7 + x) = x
Expanding the Left Hand Side of the equation , we have :
56 + 8x = x collecting the like terms , we have
56 = x - 8x
56 = -7x
dividing through by - 7 we have :
- 8 = x
Therefore :
x = -8
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.