After solving
we get value of x: ![x=\frac{3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
We need to solve the equation
and find value of x:
Solving:
![4^{3x-2}=4^{x+1}](https://tex.z-dn.net/?f=4%5E%7B3x-2%7D%3D4%5E%7Bx%2B1%7D)
Using the rule: if ![if\,\,a^{x}=a^{y}\,\,then\,\,x=y](https://tex.z-dn.net/?f=if%5C%2C%5C%2Ca%5E%7Bx%7D%3Da%5E%7By%7D%5C%2C%5C%2Cthen%5C%2C%5C%2Cx%3Dy)
Since our base is equal i.e 4 so,
![3x-2=x+1\\3x-x=1+2\\2x=3\\x=\frac{3}{2}](https://tex.z-dn.net/?f=3x-2%3Dx%2B1%5C%5C3x-x%3D1%2B2%5C%5C2x%3D3%5C%5Cx%3D%5Cfrac%7B3%7D%7B2%7D)
So, After solving
we get value of x: ![x=\frac{3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B2%7D)
keywords: Solving Exponents
Learn more about Solving Exponents at:
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7.5a+3c=663
a+c=113
Write a literal equation for c using the second equation.
c=-a+113
Substitute the value of c into the first equation
7.5a+3(-a+113)= 663
7.5a-3a+339=663
4.5a+339=663
4.5a=324
a=72
Final answer: 72 adult tickets sold
Check by finding the value of c and plugging both values in
(72)+c=113
c=41
7.5(72)+3(41)
663
True
Answer:
The regular price was $30.
Step-by-step explanation:
The bookstore sells used books at 40% discount off the price of new books. This means, after the discount, the price of a used book will be 100% - 40% = 60% of the original price.
Now, if the price of the used book is $18, we know that is is 60% of the price of the book when it was new.
Let us call
, the price of the book when it was new, then we know that
<em>(this says that 60% of the original price is $18.</em><em>)</em>
We solve for
and get
![x=\frac{18}{0.6} =30.](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B0.6%7D%20%3D30.)
The price of the book was $30 when it was new.
A. 2.5 minutes
b. 0.4 laps
c. 100 minutes