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ratelena [41]
3 years ago
15

two families bought tickets for a game. one family paid $71 for 6 adults and 2 children. another family paid $56.50 for 4 childr

en and 3 adults. how much do the tickets cost.
Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

Adult Ticket cost $9.50 and Children Ticket cost $7.00

Step-by-step explanation:

Let single adult tickets cost "a" and single children ticket cost "c"

6 adult and 2 children ticket is $71, we can write:

6a + 2c = 71

Also,

3 adult and 4 children tickets cost $56.50, so we can write:

3a + 4c = 56.5

We multiply 2nd equation by "-2", to get:

-2 * (3a + 4c = 56.5) = -6a -8c = -113

Now we add this equation with 1st and eliminate a and solve for c:

6a + 2c = 71

-6a -8c = -113

-------------------

-6c = -42

c = -42/-6

c = 7

To find a, we can plug this into 1st equation and then get our answer.

6a + 2c = 71

6a + 2(7) = 71

6a + 14 = 71

6a = 57

a = 57/6

a = 9.5

Hence,

Adult Ticket cost $9.50 and Children Ticket cost $7.00

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ANSWER

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EXPLANATION

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Find the area of the rectangle. Round the answer to the nearest whole number.
Fed [463]

Answer:

The area of the given rectangle is 51

Step-by-step explanation:

First we have to find the coordinates of the vertices of the rectangle.

Then the length and breadth of it using distance formula.

The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

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7 0
3 years ago
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Vedmedyk [2.9K]

Answer:

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2 years ago
Please help I have already asked these questions 3 times, Thank you soo much! - Alyssa
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For the third problem, your work should look like this:

-b +/- √b^2 - 4ac  /  2a               ***** Plug in what you know ***********


-4 +/- √4^2 - 4(6)(-3)  /  2(6)      ***** Simplify ****************************


-4 +/- √4^2 + 72  /  12              


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-4 +/- √88 / 12      (The -4 and 12 can be simplified since they are constants.)
 
 
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√88 = 2√22               this means that you should now have:


-1 +/- 2√22  /  3


**** Now you have 2 different answers *************************************

If they want the exact answers, leave the answers as what you have. If they want an approximation as your answer, then simplify the problem further. 

For exact answers:

answer 1:                                           answer 2:

-1 + 2√22  /  3                                    -1 - 2√22  /  3


For completely simplified answers:

answer 1:                                             answer 2:

-1 + 9.38  /  3                                       -1 - 9.38  /  3

8.38  /  3                                              -10.38  /  3

x = 2.79                                               x = -3.46

******* Note that the 9.38 is a rounded value. It is not the exact decimal because it was rounded to the nearest hundredths place. *****************

******* Also note that the first answer is rounded to the nearest tenths place. *********
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