Answer:
3.5 cookies
Step-by-step explanation:
Hi there!
Well, assuming they get the same amount of cookies, you'd do 7/2..
7/2=3.5
So they'd each get 3.5 cookies.
Have a great day! ^u^
<h3><u>
The value of x is greater than the value of 3.</u></h3>
We can treat inequalities like standard algebraic equations.
7x - 9 > 2x + 6
<em><u>Add 9 to both sides.</u></em>
7x > 2x + 15
<em><u>Subtract 2x from both sides.</u></em>
5x > 15
<em><u>Divide both sides by 5.</u></em>
x > 3
(-2,3)(4,-1)
slope = (3 + 1)/(-2 - 4) = 4/-6 = -2/3
equation
y + 1 = -2/3(x - 4)
I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:
13x + 14y = $250.90
15x + 8y = $204.70
This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:
52x + 56y = $1003.60
-105x - 56y = -$1432.90
Now we add these two equations together to get:
-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.
Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.
$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40
Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.