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Sindrei [870]
2 years ago
10

You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend

half of what remains to buy a small drink. Which expression equals the fraction of money you have left?
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
6 0
<em>Spent half on movie tickets:</em>
Movie Tickets = 1/2
Remaining = 1 - 1/2 = 1/2

<em>Spent half of remaining on popcorn:</em>
Popcorn = 1/2 of 1/2 
Popcorn = 1/2 x 1/2
Popcorn = 1/4
Remaining = 1/2 - 1/4 = 1/4

<em>Spent half on remaining on small drink:</em>
Drink = 1/2 of 1/4
Drink  = 1/2 x 1/4 
Drink = 1/8

Left:
1/4 - 1/8 = 2/8 - 1/8 = 1/8

Ans: 1/8 of the money is left.
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Helen [10]

The solutions of the equations for x are given as follows:

a. x = 36.

b. x = 15.

<h3>What is the solution for item a?</h3>

The equation for item a is given by:

x/3 - 5 = 7

Isolating x, we have that:

x/3 = 12

x = 3 x 12

x = 36.

<h3>What is the solution for item b?</h3>

The equation for item b is given by:

x/2 - 5 = 2.5

Isolating x, we have that:

x/2 = 7.5

x = 7.5 x 2

x = 15.

Hence the solutions are:

a. x = 36.

b. x = 15.

More can be learned about equations at brainly.com/question/25537936

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The first and third options are correct so choose both

Step-by-step explanation:

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Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.  

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

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