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PIT_PIT [208]
3 years ago
15

The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $

10 for each child's ticket. They sold 3 times as many children's tickets as adult tickets. Write a system of equations that can be used to determine the number of adult and child tickets sold. How many adult tickets and child tickets were sold?
Mathematics
1 answer:
kvasek [131]3 years ago
3 0
Assume that the number of adult tickets is a and the number of child tickets is c.

We are given that the adult ticket is sold for 20$, the child ticket is sold for 10$ and that the total is $15,000. This means that:
20a + 10c = 15,000 ..........> equation I

We are also given that number of child tickets is 3 times that of adult's. This means that:
c = 3a .........> equation II

Substitute with equation II in equation I to get a as follows:
20a + 10c = 15,000
20a + 10(3a) = 15,000
20a + 30a = 15,000
50a = 15,000
a = 300 tickets

Substitute with the value of a in equation II to get c as follows:
c = 3a
c = 3(300)
c = 900 tickets

Based on the above calculations,
number of child tickets = 900 ticket
number of adult tickets = 300 ticket
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The term "three fifths" is equivalent to \frac{3}{5}.
If \frac{3}{5} of the cast is singing, then we just have to find the rest of the fraction.
1- \frac{3}{5} \\  \frac{5}{5}- \frac{3}{5}    \\  \frac{2}{5}
7 0
3 years ago
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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

8 0
3 years ago
Fill in the blanks
katen-ka-za [31]
1 - 9
2 - 87
3 - -2
4 - -9
that’s the answers for them :), have a great day !! :)
5 0
3 years ago
What is the greatest common factor of 49, 62 and 80?
steposvetlana [31]

Answer:

literally 1

Step-by-step explanation:

scooby ate my scooby snax

6 0
3 years ago
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Plz help I will give anyone who answers this correctly 100 points.
dsp73

Answer:

126.

Step-by-step explanation:

Each rectangle is a step. We'll start with the top one. This is simple: 6 times 3.

6 * 3 = 18.

The farthest left is 5 times 3.

5 * 3 = 15.

The crossed one is 6 times 5.

6 * 5 = 30.

The one to the right of the crossed one is 3 times 5, again.

3 * 5 = 15.

The farthest right is 6 times 5, again.

6 * 5 = 30.

The bottom one is 6 times 3, again.

6 * 3 = 18.

Now, we add.

18 + 18 = 36.\\15 + 15 = 30.\\30 + 30 = 60.\\36 + 30 + 60 = 126.

8 0
3 years ago
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