Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:
M - P = 3/4(Q - P)
For the x-coordinate, we have that:
x + 6 = 3/4(2 + 6)
x + 6 = 6
x = 0.
For the y-coordinate, we have that:
y + 5 = 3/4(7 + 5)
y + 5 = 9.
y = 4.
The coordinates are (0,4).
More can be learned about proportions at brainly.com/question/24372153
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Simplify the expression:
7 - 5x - (3 + 5x)
Operate the parentheses. Each term changes its signs because the minus sign represents a -1:
7 - 5x - (3 + 5x) = 7 - 5x - 3 - 5x
Collect like terms:
7 - 5x - (3 + 5x) = 7 - 3 -5x - 5x
Simplify:
7 - 5x - (3 + 5x) = 4 - 10x
Answer: 4 - 10x
Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
