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muminat
3 years ago
12

Adult tickets to an amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult and 1 chi

ld tickets for $203. The Garcia family bought 2 adult and 3 child tickets for $189. Part 1 out of 2 Drag and drop each term into the correct box to complete the equations to represent the Hensons' cost and the Garcias' cost. Hensons' cost: + = Garcias' cost: + =
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Step-by-step explanation:

Given,

Cost of each adult ticket = x dollars

Cost of 3 adult ticket = 3x

Cost of 2 adult ticket = 2x

Cost of each child ticket = y dollar

Cost of 3 child ticket = 3x

Henson's cost;

3 adult tickets + 1 child ticket = $203

3x+y=203

Garcia's cost;

2 adult tickets + 3 child tickets = $189

2x+3y=189

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Keywords: linear equation, addition

Learn more about addition at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

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A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0
2 years ago
Use a table to identify three equivalent ratios of 2/5.
zlopas [31]

Answer: The simplest form of ratio 6:15=2×3:5×3=2:5

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7 0
1 year ago
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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

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or

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the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

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