Answer:
A 4/81
Step-by-step explanation:
(2/9)² is the same as 2/9×2/9, which is 4/81.
The first thing you should do for this case is to take 35% out of 9.95
We have then
(0.35) * (9.95) = 3.4825
Then, we must add this value from the original price of a dozen
9.95+3.4825 = <span>
<span>13.4325
less a 25 percent trade discount
</span></span> 13.4325*(1-0.25)=<span>
<span>10.074375
</span></span> answer
the selling price of each dozen should be $<span>
<span>10.074375</span></span>
Answer:
x = 12
Step-by-step explanation:
10x = 120 original equation
10x/10 = 120/10 divide both sides by 10
x = 12 simplify
Check work:
10(12) = 120
120 = 120 (true)
Answer:
I am not sure what the values needed to add in / etc, but here is the height of the box: 5
Step-by-step explanation:
A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.
(hopefully this is correct, have a nice day!)
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
