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Below is the solution:
<span>60 - 44 = 16
</span><span>16/60 = .2666
</span>to round of .267
convert .267 to percentage by multiplying 100
<span>.2667 x 100% = 26.67%
</span>
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:
45 * 3 = 132 + (12 * 3) Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168
Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:
45 * 3 = 132 + (12 * 3) Now, let's turn all the 3s into cs.
45c = 132 + 12c Then, using algebra, we can solve this equation.
-12c - 12c
33c = 132
33c/33 = 132/33
c = 4
And finally, we have our answer, B! I hope both methods help you in your further studies.
The value of a is 0.10.
The value of b is 20.78.
The value of c is 0.02.
<h3>
What are the missing values?</h3>
When two variables have inverse variation, the two variables move in opposite directions. If one variable increases, the other decreases.
p = 8.31 / V
V = 8.31 / p
a = 8.31 / 83.1 = 0.10
b = 8.31 / 0.4 = 20.78
c = 8.31 / 415.5 = 0.02
To learn more about inverse relationships, please check: brainly.com/question/25748643
#SPJ1
Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25
Explanation:
m = rental cost of each movie
g = rental cost of each game
Set up:
8m + 4g = 37
3m + 2g = 17
Modify for elimination:
3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136
Subtract:
24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25
Divide:
4g = 25
g = 25/4
g = 6.25
So each game is $6.25
Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie
3m + 2 (6.25) = 17 (multiply 2 & 6.25)
3m + 12.50 = 17 (subtract 12.50 from sides)
3m = 4.50 (divide both sides by 3)
m = 1.50
So each movie rental is $1.50
