Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
Given situation : 0.5 pound of peaches selling for 0.80 dollars/ pound
0.7 pound of oranges selling for 0.90 dollars / pound.
Solution
Given number 1 : Peaches
=> 0.5 pound = meaning, ½ pound is available, And 1 pound of it costs 0.80 dollars.
Let’s solve:
=> 0.80 dollars * 0.5
=> 0.40 dollars – the price of the peaches.
Given number 2 : Oranges
=> 0.7 pounds of oranges, meaning less than 1 pound. And 1 pound costs 0.90 dollars
Let’s solve to get the anwer
=> 0.7 * .90
=> 0.63 dollars – the costs of 0.7 pounds of oranges,
Answer:
B
Step-by-step explanation:
Remark
If we draw a line from F to T, we can make a couple of statements.
Call the center of the circle O
1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.
2. <GTF = 1/2 78 by the same reasoning used above. GTF = 39 because that is 1/2 of 78.
So the answer to the size of <T = 39 + 30 = 69 which is B
There is a much simpler way of doing this.
The central angle of the two arcs is 78 + 60 = 138
The <GTE is 1/2 the central angle
<GTE = 1/2 * 138 = 69
Answer:
he can make 1 and 1/2 cups
Step-by-step explanation:
