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Zanzabum
2 years ago
12

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on friday the next day the theater sold 5 adult tickets an

d 6 children tickets for $90. What is the price for the adult ticket and the price for a child's ticket
Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer: An adult ticket cost $12

A child ticket cost $5

Step-by-step explanation:

Let x represent the price for one adult ticket.

Let y represent the price for one child ticket.

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on Friday. It means that

4x + 7y = 83 - - - - - - - - - - - -1

The next day the theater sold 5 adult tickets and 6 children tickets for $90. It means that

5x + 6y = 90 - - - - - - - - - - - -2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 35y = 415

20x + 24y = 360

Subtracting, it becomes

11y = 55

y = 55/11 = 5

Substituting y = 5 into equation 1, it becomes

4x + 7 × 5 = 83

4x + 35 = 83

4x = 83 - 35 = 48

x = 48/4 = 12

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3 years ago
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The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?
ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

  • The conversion rule is:

             1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

 1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

                             = 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
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5 0
3 years ago
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Bond [772]

Answer:

R = \frac {3ST}{2S + T}

Step-by-step explanation:

Given the equation;

\frac {3}{R} - \frac {1}{S} = \frac {2}{T}

Rearranging the equation, we have;

\frac {3}{R} = \frac {2}{T} + \frac {1}{S}

Lowest common multiple (LCM) of S and T is ST.

\frac {3}{R} = \frac {2S + T}{ST}

Cross-multiplying, we have;

3ST = R(2S + T)

Making R, the subject of formula;

R = \frac {3ST}{2S + T}

8 0
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9514 1404 393

Answer:

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The numbers are in increasing order when they are listed left-to-right as they appear on the number line.

The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.

The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.

The correct ordering is found in choice A.

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2 years ago
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DiKsa [7]
If you need to find x.  The answer is x=1/-2.  Hope this helps!
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