First simplify the one inequality, 6r + 30 greater than or equal to 12 just divide by 6 then subtract 30 from both sides of the inequality. You should get r is greater than or equal to -3. For this one you need to reverse the inequality symbol then divide both sides by -1 to get a positive r, and you get r is less than -12. It's not A because there's two solutions, and it's not D for the same reason. It's not C because r isn't greater than -12. In conclusion it's B because it correctly represents the solutions that make the inequality true. I hope this helps you on your high school application :)
Answer:
56 music files
Step-by-step explanation:
From the above question:
Let the number of music files
Arely has = x
Valerie has = y
Arely has 4 fewer than twice as many music files as Valerie.
x = 2y - 4
They have a combined number of 86 music files.
x + y = 86
We substitute 2y - 4 for x in the above equation
2y - 4 + y = 86
3y - 4 = 86
3y = 86 + 4
3y = 90
Divide both sides by 3
3y/3 = 90/3
y = 30
Hence, Valerie has 30 music files.
The number of music files that Arely has is calculated as:
x = 2y - 4
x = 2(30) - 4
x = 60 - 4
x = 56
Arely has 56 music files
Answer:
Step-by-step explanation:
The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...
$9.00/($0.02/mi) = 450 mi
At that distance, the rental cost is ...
$50 +450×$0.15 = $50 +67.50 = $117.50
Both plans will cost $117.50 for 450 miles of driving.
Answer:
The maximum revenue will be 
at price 
Step-by-step explanation:
Given:
Find the vertex of the parabola represented by given equation:
When 
then
The maximum revenue will be at price
Answer:
333.333
Step-by-step explanation:
2000 devided by 6=333.333
