Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d = 
= 
= 
=
≈ 9.85 ( to 2 dec. places )
YAY!!! ANOTHER PERSON FRON ED-GENUITY!!!
All of the letters are equal to 90 degrees so the answer would be C.
Hope I helped!
Answer: 1/4
Step-by-step explanation:
Since the box box contains four equal-sized cards labeled 1 , 3, 5, and 7. The probability of selecting any number out of the four numbers will be 1/4 if they are selected once.
If Tim selects one card from the box, the probability that Tim will select a card labeled 3 will be: = 1/4
This is because 3 only occurs once and there are 4 numbers in total.
Answer:
Inequality:
120 + 0.05x ≥ 200
Solution:
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Step-by-step explanation:
Let x represent the weekly sales she must make to reach her goal.
Given;
Pay rate = $8
Weekly total work hours = 15 hours
Commission on sales = 5% = 0.05
Total weekly earnings is;
8×15 + 0.05×x
120 + 0.05x
Minimum Weekly target earnings = $200
So;
120 + 0.05x ≥ 200
Solving the inequality equation;
0.05x ≥ 200 - 120
0.05x ≥ 80
x ≥ 80/0.05
x ≥ 1600
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
4(0.5n-3)=n-0.25(12-8n)
2n-12=n-3+2n
2n-12=3n-3
2n-3n=-3+12
-n=9
n = -9