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Goryan [66]
3 years ago
11

An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the do

ts for the squad's sprint training drills. She wants the squad to be able to run any distance which is a multiple of 10m, up to some maximum distance which depends on the number of cones.
Explain why it is not possible to place four cones A, B, C, D, in a line so that each multiple of 10m up to 70m can be run between two of the cones.
Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters

Step-by-step explanation:

The parameters given are

Distance between two cones = 10 m

Number of cones = 4

Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = \binom{4}{2} = 6

Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.

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at a particular school 50% of students travel by bus. if this represents 600 children how many children attend the school
hichkok12 [17]

Answer:

1200 students at the school

Step-by-step explanation:

Let x be the total number of students at the school

50% ride the bus

600 students ride the bus

x*50% = 600

Changing to decimal form

.50x = 600

Divide each side by .5

.50x/.5 = 600/.5

x =1200

1200 students at the school

4 0
3 years ago
Read 2 more answers
The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would
vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

T_A=4.225+1.375+3=8.6

The total sales tax for Florida is:

T_F=6.5+1+1.625=9.125

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

ST_A=1500\cdot T_A=1500\cdot 0.086=129

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0
3 years ago
Find the length of the hypotenuse
denpristay [2]

Answer: The answer is “10cm”

Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”

Have a nice day!

4 0
2 years ago
I need help with #5 please
Alexxandr [17]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Two large numbers of the Fibonacci sequence are F49 = 7,778,742,049 and F50 = 12,586,269,025. What is the approximate value of t
Lina20 [59]
 Two large numbers of the Fibonacci sequence are F49<span>= </span>7778742049 and F50=12586269025<span>.</span>
4 0
3 years ago
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