Answer:
x > 1/5
Step-by-step explanation:
All of these three triangle inequalities must be satisfied:
AB +BC > AC
BC +CA > BA
CA +AB > CB
___
Taking these one at a time, we have ...
AB +BC > AC
3x +4 + 2x +5 > 4x
x +9 > 0 . . . . . subtract 4x
x > -9
__
BC +CA > BA
2x +5 + 4x > 3x +4
3x > -1 . . . . . . subtract 3x+5
x > -1/3 . . . . . divide by 3
__
CA + AB > CB
4x + 3x +4 > 2x +5
5x > 1 . . . . . . subtract 2x+4
x > 1/5
___
The only values of x that satisfy all of these inequalities are those such that ...
x > 1/5
The first number is 27 and the second number is 45 so the ratio would be 27;45
Answer: e. 
Step-by-step explanation:
1. You have the following expression given in the problem:
2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by 
. Then, you obtain:
Answer:
Larry.
Step-by-step explanation:
For Larry, do 375/25 = 15. He is getting paid $15 an hour.
For Kyle, you do 560/40 = 14. He is getting paid $14 an hour.
$15 is greater than $14 an hour, so Larry is getting paid at a better rate.
