Answer: the answer is 18000
Answer:
X > -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Let x represent the # of units produced and sold.
Then
Revenue = Costs
($40)x = $72000 + ($32)x
Solving for x: $8x = $72000. Thus, x = 9000.
Have to make and sell 9000 units to break even here.
Answer:
Yes
Step-by-step explanation:
We know it is written in scientific notation because we have a 10 to the second power 2. Since we have the number 10 to a certain power, being 2. It makes it written in scientific notation.
Answer:
Third placer consumed 24 hot dogs.
Winner consumed 48 hot dogs.
Step-by-step explanation:
Lets assume that the third runner up eats x hot dogs.
The total time for the contest is 15x seconds.
Given is that the winner ate (x+24) hot dogs
The winner's rate of eating is 1 hot dog per 7.5 seconds.
And we know the rate = ![\frac{totaltime}{number of hot dogs eaten}](https://tex.z-dn.net/?f=%5Cfrac%7Btotaltime%7D%7Bnumber%20of%20hot%20dogs%20eaten%7D)
We get;
![\frac{15x}{x+24} =7.5](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7Bx%2B24%7D%20%3D7.5)
![(x+24)7.5=15x](https://tex.z-dn.net/?f=%28x%2B24%297.5%3D15x)
![7.5x+180=15x](https://tex.z-dn.net/?f=7.5x%2B180%3D15x)
![7.5x=180](https://tex.z-dn.net/?f=7.5x%3D180)
x = 24 (third placer)
And the winner consumed
hot dogs.