Let’s start by finding the total amount of tickets sold
717+19+1=737
Now multiply by 5 to see how much money they initially brought in
737•5=3,685
Now let’s find the total expense of the prizes
166+(19•20)=t
166+380=546
Now subtract the expenses from the total ticket sales
3,685-546=3,139
They made $3,139 TOTAL
Now let’s divide the total made by the total tickets sold
3139 / 737 = 4.26
They made $4.26 PER TICKET
Hope this helps!
The correct option is (A). The solution of the equation is x=48.125.
Given an equation
.
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
![x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B7%7D%2B%5Cfrac%7Bx%7D%7B11%7D%2B%5Cfrac%7Bx%7D%7B77%7D%3D60)
Now, we will simplify the right-hand side equation by taking LCM, we get
![\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B77x%2B11x%2B7x%2Bx%7D%7B77%7D%26%3D60%5C%5C%20%5Cfrac%7B96x%7D%7B77%7D%26%3D60%5Cend)
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation
is x=48.125.
Learn more about solution of equation from here brainly.com/question/1477785
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Willard F. Libby used Geiger M<span>üller tubes to date artifacts with known ages. </span>
It’s 3.79, but with a line over 79.
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3