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jarptica [38.1K]
2 years ago
7

Jen butler has been pricing speed-pass train fares for a round trip to New York three adults and four children must pay $118 two

adults and three children must pay 84$ find the price of the adults ticket and the price of a child’s ticket
Mathematics
1 answer:
vitfil [10]2 years ago
6 0

Answer:

Adult’s ticket = $ 18

Child’s ticket = $ 16

Step-by-step explanation:

Adults: x

Children: y

(3x + 4y = 118) * (2) = 6x + 8y = 236

(2x + 3y = 84) * (-3) = -6x - 9y = -252

Add both equations:

-y = - 16

y = 16

3x + 4(16) = 118

3X + 64 = 118

3X = 118 - 64

X = 54/3=18

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This figure is made up of a quadrilateral and a semicircle.
Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0
3 years ago
Which of the following are solutions to the equation below?
Luden [163]

Answer:

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

4 0
3 years ago
What is the midpoint M of that line segment?
pychu [463]

Answer:

Midpoint = (  (x1+x2)/2 , (y1+y2)/2 )

Step-by-step explanation:

Please upload the line segment otherwise, you can use the equation above to solve for it.

8 0
2 years ago
Read 2 more answers
Can someone help me ASAP!!
Lana71 [14]

The answer is 5.

Step-by-step explanation:

To find the interquartile range you must look at the median and the upper and lower halves of the data. The median (12) to the upper half of the data (15) is 3. Next, look at the median (12) to the lower half of the data (10) it is 2. We then add 2 and 3 to get the interquartile range of 5.

6 0
2 years ago
A bag contains eight marbles of equal size and weight. One marble is red, two marbles are white, and five marbles are blue. A ma
kiruha [24]
Its D 1/28 because I did the problem 


6 0
3 years ago
Read 2 more answers
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