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34kurt
3 years ago
12

Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-k

ilometer race id approximately 6.2 miles. Write an equation that shows the approximate distance in kilometers as a function if the distance in miles
Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

x=\dfrac{y}{0.62}

Step-by-step explanation:

5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}

10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}

Let y be the distance in miles. So distance in km is given by

x=\dfrac{y}{0.62}.

The equation that shows the approximate distance in kilometers as a function if the distance in miles is x=\dfrac{y}{0.62}.

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A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park
MaRussiya [10]

Answer:

6.25 km

Step-by-step explanation:

Here is the correct question: A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.  

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle =2\times (length + width)

Perimeter is given 12.5 km

⇒ 12.5= 2\times (4x+x)

⇒ 12.5= 10x

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle= length\times width

∴ Area of rectangle= 5\times 1.25 = 6.25 km

∴Area of park will be 6.25 km.

6 0
3 years ago
5.1.2 Exam: Semester 2 Exam
Nikolay [14]

Answer:

See attached picture to view the graph

Step-by-step explanation:

Start by analyzing how this average idea works:

If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.

If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.

Notice that the general function that represents such average will be given by: f(x) = \frac{1000+200x}{x}

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.

8 0
3 years ago
Tell whether the number is prime or composite
Lerok [7]
Or mine means that itself and 1 can only go into it. Conposit means that multiple numbers can go into it like 24. 12,6,8,2 can all go into it
6 0
3 years ago
Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Ex
EleoNora [17]

Answer:

4 \frac{5}{8} km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 \frac{1}{4}-1\frac{5}{8}

However, we can only subtract fractions that have the same denominator, so we need to convert \frac{1}{4} to a fraction with a denominator of 8:

\frac{1}{4}=\frac{2}{8}

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

6\frac{2}{8}=5\frac{10}{8}

Now subtract: 5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}

4 0
3 years ago
The Hiking Club plans to go camping in a State park where the
svetlana [45]

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

3 0
3 years ago
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