Answer:
0 ≤x
Step-by-step explanation:
9x-3 ≤11x-3
Subtract 9x from each side
9x-9x-3 ≤11x-9x-3
-3 ≤2x-3
Add 3 to each side
-3+3 ≤2x
0 ≤2x
Divide by 2
0/2 ≤2x/2
0 ≤x
Let's attack this problem using the z-score concept. The sample std. dev. here is (0.25 oz)/sqrt(40), or 0.040. Thus, the z score representing 3.9 oz. is
3.9 - 4.0
z = -------------- = -2.5
0.040
In one way or another we must find the area under the std. normal curve that lies to the left of z = -2.5. Use a table of z-scores or a calculator with built-in statistics functions. According to my TI-83 Plus calculator, that area is
0.006. One way of interpreting this that with so small a standard deviation, most volumes of coffee put into the jars are very close to the mean, 4 oz.
Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
Cost of one roll of plain wrapping: 
Cost of one roll of holiday wrapping paper: 
Step-by-step explanation:
Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.
Based on the information given, we can set up this system of equations:

In order to solve it, we can use the Substitution method. The steps are:
1. Solve for "p" from the first equation:

2. Substitute the above into the second equation and solve for "h":
3. Substitute the value of "h" into
:

0.75$
0.75$
0.75$
0.75$
0.75$
0.75$
0.75$
+
----------
5.25$
v
13.25$ - 5.25$ = 8.00$
Since there's 8.00$ left, and there's fours pens, 8 / 4 = 2.00$
A pen cost 2.00.