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Yakvenalex [24]
3 years ago
9

2. Tickets to a play cost $344.50 for a group of 12 adults and 10 children. Each aduit ticket cost

Mathematics
1 answer:
Drupady [299]3 years ago
5 0
Each kid ticket will cost 12.25 dollars because 18.50 times 12 equals 222 dollars. You subtract 222 from 344.50 to get the total amount for 10 kids which is 122.50 dollars. 122.50 divides by 10 is 12.50.
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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum
bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0
2 years ago
Can someone help me with this please
11Alexandr11 [23.1K]

Answer:

I have no clue

Step-by-step explanation:

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4 0
3 years ago
Jay is paid £2000 each month. He saves 6% of the £2000 each month. How many months will it take Jay to save £480? ​
BARSIC [14]

Answer:

4 months

Step-by-step explanation:

(2000 *6)/100 = 120

120x = 480

X = 480/120

X = 4 months

4 0
3 years ago
What’s the mean of the data set 17,24,26,13
igor_vitrenko [27]

Answer:

20

Step-by-step explanation:

To find the mean, add up all the numbers in the data set, and then divide by the number of terms in the data set

<em>Add </em>

Add up the numbers in the data set

17+24+26+13

80

<em>Divide </em>

Divide by the number of terms in the data set

In this case, there are 4 terms (17, 24, 26, 13)

80/4=20

The mean of the data set is 20

5 0
3 years ago
Read 2 more answers
Ashraf attends a local festival, which has an entrance fee. Each game costs
irina1246 [14]

Answer:

2 + 2x = y

Step-by-step explanation:

I think you're saying the entrance fee is $2. This is the constant. If each game costs an additional $2 per game, that would translate into 2x - or 2 * the number of games. This results in the slope-intercept form equation of: 2+2x=y

5 0
3 years ago
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