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lubasha [3.4K]
3 years ago
14

19. Represent Real-World Problems The

Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

2375 ft.

Step-by-step explanation:

Diameter = 2r

63 ft = 2r

31.5 ft = r

Distance traveled in one revolution is circumference, which equals 2πr.

12 revolutions * 2πr = 24πr = 24*31.5*π = 2375 ft.

enyata [817]3 years ago
6 0

Answer:

2373.84 feet.

Step-by-step explanation:

Diameter of the Ferris wheel = 63 feet

Radius of the Ferris wheel = r =  63/2 feet

Perimeter of the Ferris wheel = \[2*\Pi *r\]

\[=2*\Pi *\frac{63}{2}\]

\[=197.82\]

During 1 revolution, the rider travels 197.82 feet

When the Ferris wheel makes 12 revolutions, the rider travels [tex}\[197.82*12\][/tex] feet, that is 2373.84 feet.

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Which of the following is not a correct description of the graph of the function y = -2x - 7?
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1)35% of _____is 42.<br> 2)92% of_____ is 115.
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35% of 120 is 42. (42/32 then multiply that by 100)

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A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours
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Answer:             1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

<h2>Unit Rate</h2>

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

To find the scale factor,

  1. Take the denominator from the fraction with a variable: 1\ hr
  2. Take the denominator from the fraction that has no variable:  \frac{1}{3}\ hr
  3. Divide step 1 by step 2 and solve:  1\ hr\ \div\ \frac{1}{3}\ hr = 3

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}

Simplify 3/30 by dividing the fraction by 3.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

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