Answer:
1.666667 headphones per hour (simplify this)
Step-by-step explanation:
divide the top and bottom by 3 and you should get your answer
Answer:
Sarah
Step-by-step explanation:
For Sarah
Sarah paid $3.84 for 32 ounces of carrots.
32 ounces = $3.84
1 ounce = x
Cross Multiply
x = $3.84/32
x = $0.12
For Sue
Sue paid $5.20 for 40 ounces of carrots.
40 ounces = $5.20
1 ounce = x
Cross Multiply
x = $5.20/40
x = $0.13
Who paid less per ounce?
Sarah paid less per ounce
perimeter = 2L+2w
from the problem L = 1/5w-2
so perimeter = 2(1/5w-2) +2w
= 2/5w-4 +2w
=12/5w-4
without seeing your choices it should be similar to this
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
There are 38 premium tickets and 82 regular tickets in a pile.
Step-by-step explanation:
Given,
Total number of tickets = 120
Total amount = $5812
Solution,
Let the number of premium tickets be x.
And the number of regular tickets be y.
Total number of tickets is the sum of total number of premium tickets and total number of regular tickets.
So the equation can be written as;
Again,total amount is the sum of total number of premium tickets multiplied by cost of each premium ticket and total number of regular tickets multiplied by cost of each regular ticket.
So the equation can be written as;
Now We will multiply equation 1 by 25 we get;
Now Subtracting equation 3 from equation 2 we get;
We will now substitute the value of x in equation 1 we get;
Hence There are 38 premium tickets and 82 regular tickets in a pile.
