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ludmilkaskok [199]
4 years ago
15

Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?

Mathematics
1 answer:
MissTica4 years ago
6 0

Answer:

3.5x + 15 ≥ 55

Step-by-step explanation:

I think the question below contains the missing information.

<em>Josh has a rewards card for a movie theater. - He receives 15 points for becoming a rewards card holder. - He earns 3.5 points for each visit to the movie theatre. - He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket? </em>

My answer:

  • Becoming a member = 15 points
  • Visiting the moving theater = 3.5 points
  • Total points needed for a free movie ticket = 55

Let x is the number of times he visits = 3.5x

Total points = Points received on becoming a member + Points received on x visits

So,

Total Points = 15 + 3.5x

We know the total points must be at least 55 for a free movie ticket.  This can be expressed as:

3.5x + 15 ≥ 55

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Step-by-step explanation:

4 0
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Ostrovityanka [42]
Hello!

To do this you see how many times 5 goes into 7. As you can see it only goes in once. This gives us a whole number one. Since we took away 5 we have two sevens left. This gives us the mixed number below.

1 \frac{2}{7}

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8 0
3 years ago
There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
weqwewe [10]

<em>d</em> = number of dimes

<em>n</em> = number of nickels

The jar contains a total of 107 coins, so

<em>d</em> + <em>n</em> = 107

Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so

0.10<em>d</em> + 0.05<em>n</em> = 6.70

Multiply both sides of the second equation by 100 to eliminate the decimal points:

10<em>d</em> + 5<em>n</em> = 670

Multiply both sides of the first equation by -5:

-5<em>d</em> - 5<em>n</em> = -535

Add the corresponding sides of these two equations to eliminate <em>n</em> and solve for <em>d</em> :

(10<em>d</em> + 5<em>n</em>) + (-5<em>d</em> - 5<em>n</em>) = 670 + (-535)

(10 - 5)<em>d</em> + (5 - 5)<em>n</em> = 670 - 535

5<em>d</em> = 135

<em>d</em> = 135/5 = 27

Then

<em>n</em> = 107 - <em>d</em> = 80

so the jar contains 27 dimes and 80 nickels.

7 0
3 years ago
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