Answer: 500 pieces of wheat
Explanation:
First: set up the proportion
Cookies:wheat = 8:2
Simplify = 4:1
We need to find how much wheat he needs for 2,000 cookies.
We need to assign a variable for wheat
Wheat = W
If Josh needs to make 2,000 cookies he would need W amount of wheat
Original proportion = 4:1
For 2,000 cookies = 2,000:W
To get from 4 to 2,000
2,000/4 = 500
So W/1 = 500
Isolate the variable:
w/1 (1) = 500/1
W = 500
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Answer:
(1, 5)
Step-by-step explanation:
The midpoint of a line segment has coordinates that are the average of the end-point coordinates.
M = (X + Y)/2 = ((-3, 4) +(5, 6))/2 = (-3+5, 4+6)/2 = (2, 10)/2
M = (1, 5)
The midpoint is (1, 5).
We have that
, which means
reduces to
when
, or reduces to
when
.
So we can expand the summation as
Notice that the 10 contributes a total of 30 from the first sum, and -30 from the second sum, so those terms cancel, leaving us with
There are a few ways you could go about this. One way is to use sin 60 to calculate the value of a. In other words, sin 60 = a / 8sqrt(3). Simplifying that you should get a = 12.
So F should be the right answer.
Cheers and good luck
