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2 years ago

If seven people meet each other and each shake hands only once with each of the others, how many handshakes happened?

Mathematics

2 answers:

Andreas93 [3]2 years ago

4 0

Answer:

alright so every person shook 7 people's hands so 7x and there are 7 people so 7(7) and that is 49

Elenna [48]2 years ago

3 0

If it’s only 7 ppl you would have to double the amount of people meaning that 14 people shook each other’s hands but not quite cause they shook each other’s hands 7•14=98/4=25

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In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric

Lelu [443]

Answer:

$y(x) = 29.99 + 1.86x$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

$y(x) = y(0) + ax$

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that $y(0) = 29.99$

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

$y(16) = 59.75$

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

$y(x) = y(0) + ax$

Applying y(16).

$59.75 = 29.99 + 16a$

$16a = 29.76$

$a = \frac{29.76}{16}$

$a = 1.86$

$y(x) = 29.99 + 1.86x$

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

$y(x) = 29.99 + 1.86x$

$y(20) = 29.99 + 1.86*20 = 67.19$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0

3 years ago

Which angle is vertical to 3 in the given figure? You may assume that the lines are straight.

ycow [4]

Angle 5 is vertical to angle 3.

8 0

2 years ago

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

5 0

2 years ago

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insens350 [35]

. the answer is x=42

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AlladinOne [14]

I honestly don't know any of this so

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2 years ago

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