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Slav-nsk [51]
3 years ago
5

The admission fee for an amusement park is $12 for adults and $6.50 for children. One weekend, 2904 people paid admission for th

e amusement park, and the park made $27,126. How many adults and how many children paid to go to the amusement park that weekend?
Mathematics
1 answer:
morpeh [17]3 years ago
5 0
It seems that you have missed the necessary options for us to answer this question, but anyway, here is the answer.
Based on the given scenario above, the expression would be this: 
<span> a + c = 2904
12a + 6.5c = 27,126
</span>Wherein a is for adult, and c is for children. 
Here is the solution:
a + c = 2904
a = 2904 - c
Next,
12 (2904-c) + 6.5c = 27,126
34,848 - 12c + 6.5c = 27,126
-5.5c = 27,126 - 34, 848
-5.5c = - 7,722 (divide both sides by -5.5)
c = 1,404

Now going back to the first expression:
a + c = 2904
a + 1,404 = 2904
a = 2904 - 1,404
a = 1500

Hope this answer helps.

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A web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the
Effectus [21]

answer

240 standard versions

set up equations

s = number of standard versions

h = number of high quality versions

the total size of all standard versions would be 2.3s since each standard version is 2.3 MB

the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB

add them together to get the total size (2664 MB) of all versions

2664 = 2.3s + 4.4h

since the high quality version was downloaded twice as often as the standard, we can say that

h = 2s

substitute h into equation and solve

2664 = 2.3s + 4.4h

h = 2s

2664 = 2.3s + 4.4(2s)

2664 = 2.3s + 8.8s

2664 = 11.1s

s = 2664/11.1

s = 240

7 0
3 years ago
Which of the following best describes the graph of this system of equations ? y=-2x+3 and 5y=-10x +15
ELEN [110]

Remark

When talking about straight lines, D is never true. Never.

C is possible, but in this case not true. Read on.

B. Might be true but in this case it is not. The lines (to be parallel) have to have the same number in front of the x. These two lines do when you divide through by 5. But the y intercept has to be different. That is not so in this case. So B is incorrect.

A is your answer. If you divide through by 5 on the second one, you get the first one. They are identical.

6 0
3 years ago
Find the area of the shaded region.
miv72 [106K]

Answer:

The answer would be 27π

Step-by-step explanation:

the area is 36pi and the shaded region is 3/4 of the circle, as a 90 degree angle is 1/4 of a 360 degree circle. 3/4 of 36pi is 27pi

8 0
3 years ago
Read 2 more answers
The graph of which function has a y-intercept of 3​
saw5 [17]
There is no graph I’m sorry I can’t help
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3 years ago
A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it
nadya68 [22]
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
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14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
C = 4km/hr

5 0
3 years ago
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