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shusha [124]
2 years ago
6

People in Spaceland live in 8 space stations, and travel between the stations in tubes.Every pair of stations is connected by tw

o tubes. These are the only tubes inSpaceland. What is the total number of tubes?
Mathematics
2 answers:
Dima020 [189]2 years ago
6 0

Answer:

56

Step-by-step explanation:

NeTakaya2 years ago
3 0

Based on the way these stations are connected, we can infer that there are <u>56 tubes. </u>

<h3>Number of tubes in Spaceland </h3>

Each pair of stations have 2 tubes. This means that every station is connected to each of the others.

We can therefore infer that each station has 7 tubes to the other stations.

The total number of tubes would therefore be:

= Number of stations x Number of tubes per station

= 8 x 7

= 56 tubes

In conclusion, there are 56 tubes.

Find out more on proportionality problems at brainly.com/question/24822176.

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-6(c-2)=2(-3x+6)<br><br> Also maybe explaination
ratelena [41]

Answer:

c =  \times

Step-by-step explanation:

Remove parentheses

- 6c + 12 =  - 6x + 12

cancel equal terms

- 6c =  - 6x

divide both sides by

- 6

answer

= c = x

6 0
3 years ago
Are these triangles congruent or can't be determined?
Luda [366]
False. THey are congruent
6 0
3 years ago
Read 2 more answers
The median and mean<br> PLZ HELP
joja [24]

Step-by-step explanation:

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29,32

Median:

Data Set A = 26

24 + 28 = 52

52/2 = 26

Data Set B = 23

21 + 25 = 46

46/2 = 23

Mean:

Data Set A = 25

14 + 21 + 24 + 28 + 28 + 35 = 150

150/6 = 25

Data Set B = 24

18 + 19 + 21 + 25 + 29 + 32 = 144

144/6 = 24

5 0
3 years ago
Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 1
s344n2d4d5 [400]

Answer:

10.2 feet.

Step-by-step explanation:

We have been given that Derek places  a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.

We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.

\frac{\text{Actual height of ruler}}{\text{Shadow of ruler}}=\frac{\text{Actual height of backboard}}{\text{Shadow of backboard}}

\frac{12}{10}=\frac{\text{Actual height of backboard}}{8.5}

\frac{12}{10}*8.5=\frac{\text{Actual height of backboard}}{8.5}*8.5

1.2*8.5=\text{Actual height of backboard}

10.2=\text{Actual height of backboard}

Therefore, the actual height of the back-board is 10.2 feet.

4 0
4 years ago
Suppose <br> f '(x) = xe^−x^2
iogann1982 [59]
<h3>Answers:</h3>
  • (a) The function is increasing on the interval (0, infinity)
  • (b) The function is decreasing on the interval (-infinity, 0)

=======================================================

Explanation:

You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).

The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)

Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)

6 0
3 years ago
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