Answer:
J =2m -3
Step-by-step explanation:
2m is twice Monica's age
-3 represents 3 years younger
Profit = paid - supplies
Plug in the given values. We are finding out how much money he needs per room, if he is doing 4 rooms, and subtracting the supplies: 300 = 4n - 4*32.50
Simplify: 300 = 4n - 130
Add 130 to each side. 430 = 4n
Divide by 4 on each side: 107.50= n
300 = 4(107.50) - 130? True
This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.
Answer:
15feet squared
Step-by-step explanation:
Area= Length x height
= 5x3
= 15feet squared
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).
Answer:
x<-3
Step-by-step explanation:
-7x+6/3 >9
-7x+6 >27
-7x>27-6
-7x>21
-x>3
x<-3