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irinina [24]
3 years ago
9

A cyclist rides her bike at a rate of 8 miles per hour. What is this rate in kilometers per hour? How many kilometers will the c

yclist travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Mathematics
2 answers:
alina1380 [7]3 years ago
6 0
1 mile is equal to 1.6 kilometers, so 8 miles (using a direct proportion) should be equal to 8 * 1.6 = 12.8 kilometers. The cyclist rides at 12.8 kilometers per hour. In four hours, the cyclist would have rode 12.8 * 4 = 48 + 3.2 = 51.2 kilometers.
musickatia [10]3 years ago
4 0

Answer:

51.2

Step-by-step explanation:

just took the test

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Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are
joja [24]

The x-values are the heartbeat(s) and the y-values are the time(s)

<h3>How to determine the x and y values?</h3>

The variables are given as:

Time(s) and Heartbeat(s)

As a general rule, the action that is being done is the independent variable.

The action here is the heartbeat.

So, the x-values are the heartbeat(s) and the y-values are the time(s)

A possible value of this is;

x = 100, y = 60 seconds

So, the ordered pair is (100,60)

When represented as ratio, we have;

Ratio = 60/100

Simplify

Ratio = 0.6 heartbeat per second

Read more about ordered pairs at:

brainly.com/question/8406931

#SPJ1

8 0
1 year ago
Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0
2 years ago
Find the 10th term of the sequence if the explicit function/formula is f(n)=100+10n
Nutka1998 [239]

Answer:

The 10th term of the sequence is 200.

Step-by-step explanation:

Given that,

The sequence is as follows :

f(n)=100+10n

We need to find 10th term of the sequence.

Put n = 10 in the given expression.

f(10)=100+10(10)

= 100 + 100

= 200

Hence, the 10th term of the sequence is 200.

8 0
2 years ago
What is the solution to the equation 1/4x+2=-5/8x-5<br> O X=-8<br> O x=-7<br> O X= 7<br> O X=8
Dovator [93]

Answer:

x = -8

Step-by-step explanation:

1/4x+2=-5/8x-5

Add 5/8 x to each side

1/4x + 5/8 x+2=-5/8x + 5/8x-5

1/4x + 5/8x +2 = -5

Subtract 2 from each side

1/4x + 5/8x +2-2 = -5-2

1/4x + 5/8x  = -7

Get a common denominator of 8

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7 * 7/8x = -7*8/7

x = -8

5 0
3 years ago
Find the volume of a right circular cone that has a height of 17.5 ft and a base with a diameter of 6.1 ft. Round your answer to
julia-pushkina [17]
Answer:
volume of cone = 170.5 ft³

Explanation:
The volume of the right circular cone can be calculated as follows:
volume = \frac{1}{3} * \pi *r^2 *h

We are given that:
diameter = 6.1 ft.......> This means that: radius (r) = 6.1 / 2 = 3.05 ft
height (h) = 17.5 ft

Substitute with the givens in the above equation to get the volume as follows:
volume = \frac{1}{3} * \pi *(3.05)^2*17.5

volume = 170.477 which is approximately 170.5 ft³

Hope this helps :)

6 0
2 years ago
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