Answer:
41 + 2y = 71
2y = 30
y = 15
Step-by-step explanation:
i believe that is right, if not sorry
Answer:
8.50$
Step-by-step explanation:
5×2.3=11-5
20-11.5=8.5
First you do 3 + 4 + 5 = 12, so there are 12 parts to this ratio.
48 / 12 = 4, this means that each part of the ratio is worth 4 inches.
The longest side is worth 5 parts of the ratio.
4 * 5 = 20 inches
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
Answer:
A
Step-by-step explanation:
If Henry has 20 socks and he split them into a group of 5, he would have 4 socks in each group. To solve this equation you must divide the number of socks by the number of groups. Once you do this, you will get the number of socks in each group.
