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son4ous [18]
3 years ago
8

A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizont

al change of what length? Round your answer to the nearest hundredth.
Mathematics
1 answer:
ioda3 years ago
7 0

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

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A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

A = \pi r^{2}

Where:

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For the 12-inch pizza we have:

A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch

And for the 6-inch pizza we have:

A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch

The ratio between A₆ and A₁₂ is:

\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}

Hence:

A_{6} = \frac{A_{12}}{4}

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3 years ago
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. A second person pays $14.00 fo
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The two person will pay the same amount of money when they both watch 9 hockey games.

<h3>How to find the equation and use it to find cost?</h3>

A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,

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A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,

y = 14x

The number of games they will have the same amount is as follows:

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