A^2 + b^2 = c^2....where a and b are the legs, c is the hypotenuse
3^2 + b^2 = 7^2
9 + b^2 = 49
b^2 = 49 - 9
b^2 = 40.....take sqrt of both sides, eliminating the ^2
b = square root of 40 <==
Cost of Television = $1420
Cost of Television after store sale =$1022.40
Drop in price= 1420-1022.40= 397.60.
Price taken off = $ 397.60.
Percentage taken off= 
= 
Percent off = 28%.
If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.
50 × 5 = 250 sixth-graders
Answer:
(7, -6)
Step-by-step explanation:
You want to find point X on the segment from A to B such that ...
(X -A)/(B -X) = 3/2
2(X -A) = 3(B -X) . . . . . . cross multiply
2X -2A = 3B -3X . . . . . eliminate parentheses
5X = 2A +3B . . . . . . . . add 3X +2A
X = (2A +3B)/5 . . . . . . . divide by 5
Filling in the given points for A and B, we have ...
X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5
X = (7, -6)
The point that divides the segment in the proportions 3:2 is (7, -6).
