Answer: [911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So, 

Hence, the solution set of the inequality will be [911,∞)
Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.
Answer:
A) (-4,-1)
Step-by-step explanation:
a line graphed with those coordinates would have a slope of -3/12, or -1/4.
Following that slope, you would go through (-4,-1). So that is the point collinear with the given points.
Answer:
11.
A) EZ Pay Plan=0.15x
B) 40 to Go Plan=0.05x+40
12.
0.15x=0.05x+40
13.
x=400 minutes
14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.
15. EZ Pay Plan
Step-by-step explanation:
For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.
For 12, you have to find x for the minutes used.
For 13, if you do the process algebraically,
0.15x=0.05x+40
0.10x=40 (subtracted 0.05x from both sides)
x=400 (divided 0.10x and 40 by 0.10)
For 14, (no explanation)
For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.
(sorry for late response)