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Shalnov [3]
3 years ago
12

202 tickets are sold. a child costs $6 and an adult ticket costs $10. How may tickets of each were sold if the receipts totaled

$1708?
Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

The number of child tickets = 78 and the number of adult tickets = 124

Step-by-step explanation:

Let the number of child ticket is x and the adult ticket is y

∴ x + y =202 ⇒ (1)

∵ The cost of child ticket is $6 and adult ticket is $10

∴ 6x + 10 y = 1708 ⇒ (2)

Solve the system of equations (1) and (2)

Multiply (1) by -6 to eliminate x

∴ -6x + -6y = -1212 ⇒ (3)

Add (2) and (3)

∴ 4y = 496

∴ y = 124

Substitute the value of y in (1)

∴ x + 124 = 202 ⇒ x = 202 - 124 = 78

∴ The number of child tickets = 78 and the number of adult tickets = 124

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Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

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and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

6 0
3 years ago
What’s the solution to this equation 2+x=7/8x-15
Nostrana [21]

Answer:x=−136

Step-by-step explanation: Step 1: Simplify both sides of the equation.

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6 0
3 years ago
Read 2 more answers
At an archery competition, Aylin hits the target 14 out of 20 tries in round one. If Aylin gets 24 tries in round two, approxima
Andre45 [30]

Answer:

16.8

Step-by-step explanation:

14/20 = 0.7

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(Feel free to round up or down, or keep it the same depending on the criteria of the question!)

6 0
3 years ago
Kayla and latasha work for a department store the amount of sales they made over the last year was collected monthly in the data
tresset_1 [31]

Based on the information represented by the boxplot ;

  • Latasha's lowest sale amount = 50

  • Kayla's median is between 200 and 300

  • Latasha has a greater spread due to higher IQR value

1.) <em><u>The Lowest amount of sale made by Latasha in one month </u></em>

  • The minimum value is denoted by the starting position of the lower whisker on a boxplot.

  • Lowest amount of sale made by Latasha = 50

2.) <em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>Kayla</u></em><em><u> </u></em><em><u>:</u></em>

  • 50% of sales made marks the median value in a boxplot, it is denoted by the vertical line in between the box.

  • 50% of sales made by Kayla is between 200 and 300

  • With median sale value being 250

3.) <em><u>Spread</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>middle</u></em><em><u> </u></em><em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>:</u></em>

  • The measure of spread of the middle 50% of a distribution on a boxplot is the Interquartile range (IQR) of the distribution

  • IQR = Upper Quartile (Q3) - Lower quartile(Q1)

<u>For Latasha</u> :

  • Q3 = 450 (Endpoint of the box)
  • Q1 = 150 (starting point of the box)

  • IQR = 450 - 150 = 300

<u>For</u><u> </u><u>Kayla</u><u> </u><u>:</u><u> </u>

  • Q3 = 375 (Endpoint of the box)
  • Q1 = 100 (starting point of the box)
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  • Since, Latasha's IQR is greater than Kayla's, then Latasha has a greater mid 50% spread than Kayla.

Learn more :brainly.com/question/24582786

4 0
2 years ago
In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 20 seconds while skidding 1775 feet. If
-Dominant- [34]
Assume uniformly accelerated motion

Vf = Vo - at => a= [Vo - Vf] / t

Vf = 0, t = 20 s => a = Vo / 20

x = Vot - at^2 / 2

x = Vot - (Vo / 20) * t^2 /2

x = 1775 feet * [1 mile / 5280 feet] = 0.336 mile

t = 20 s

=> 0.336 = 20Vo - Vo(20)^2 /(40) = 20Vo - 10 Vo = 10 Vo

=> Vo = 0.336 /10 = 0.0336 mile /s

Vo = 0.0336 mile/s * 3600 s/h = 120.96 mile / h

Therefore, the car was way over the speed limit.



7 0
3 years ago
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