Answer:
A) $287.60.
B) $323.55.
C) David would pay more for the laptop at the store.
Step-by-step explanation:
A) Given that the store's website is offering the laptop at a 60% discount off the regular price of $ 719, ignoring tax and shipping, the sale price is obtained through the following calculation:
100 - 60 = 40
719 x 0.40 = X
287.6 = X
Therefore, in this case the sale price would be $ 287.6.
B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:
(719 x 0.5) x 0.9 = X
359.5 x 0.9 = X
323.55 = X
Thus, the sale price in the present case would be $ 323.55.
S= orange-6 S is for soda you can use X for orange juice
Answer:
32x-96
Step-by-step explanation:
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).