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goldenfox [79]
1 year ago
13

There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the

same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
Mathematics
1 answer:
expeople1 [14]1 year ago
6 0

Answer:

1.61 x km= y miles  

x km= y/ 1.61 miles

Step-by-step explanation:

Let x represent the distance in Kilometers  and y represent the distance in miles then

1.61 x km= y miles

Now if we have 5 miles then

1.61(5) km = 5miles

8.05 km = 5 miles

Similarly if we want to express 1 km in miles the equation would be

x km= y/ 1.61 miles

So for 5 km the miles would be

5 km = 5/1.61 miles

5 km = 3.1055 miles

You might be interested in
Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope
masya89 [10]

Answer:

The correct option is;

A 1

Step-by-step explanation:

The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).

Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;

The slope, m of the line TU is is found by the following relation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;

m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1

Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.

7 0
1 year ago
Read 2 more answers
Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability
sesenic [268]

Answer:

2000 players will complete the game with a perfect score.

Step-by-step explanation:

The testing phase tells us that \frac{1}{500} is the probability that a person will finish with a perfect score.

This means 1 out of 500 people will be able to finish with perfect score.

Now,

the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be  \frac{1}{500}the of 1 million!

We do the calculation shown below:

\frac{1}{500}*1,000,000=2000

So, 2000 players will complete the game with a perfect score.

3 0
2 years ago
Read 2 more answers
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
pentagon [3]

Answer:

P(R\ and\ B) = 0.0256

Step-by-step explanation:

Given

Red = 22

Yellow = 38

Green = 20

Purple = 28

Blue = 26

Orange = 16

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

P(R\ and\ B) = P(R)\ and\ P(B)

This is then solved further as:

P(R\ and\ B) = P(R)\ *\ P(B)

P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}

P(R\ and\ B) = \frac{22*26}{150*149}

P(R\ and\ B) = \frac{572}{22350}

P(R\ and\ B) = 0.02559284116

P(R\ and\ B) = 0.0256

3 0
1 year ago
20% of the tickets sold at a water park were adult tickets. If the park sold 55 tickets in all,how many did it sell?
djyliett [7]

Answer:

11 adult tickets

Step-by-step explanation:

I guess you want the number of adult tickets sold.

That is 20% of 55

= 0.20*55

= 11 (answer)

8 0
1 year ago
Read 2 more answers
Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured
Varvara68 [4.7K]

Answer:

  ascend

Step-by-step explanation:

There are a couple of ways to figure this. One is to look at the partial derivative ...

  \dfrac{\partial z}{\partial y}=-0.02y

The sign of it is negative, so when y decreases, z increases. Going south means decreasing the y-coordinate, so moving in that direction will cause you to ascend.

__

Another way to figure this is to evaluate z for some small movement in the southerly direction. In the attached, we find that moving 1 m south to (120, 79, 1165.59) causes an elevation increase of about 1.6 m. Walking south causes you to ascend.

Note that this is consistent with our first result, as -0.02y = -0.02(80) = -1.6. So a change in y of -1 should cause a change in z of about (-1.6)(-1) = 1.6.

6 0
2 years ago
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