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2 years ago

The league championship 800 meter race has 6 runners.

Mathematics

1 answer:

s2008m [1.1K]2 years ago

7 0

Answer: 120

Step-by-step explanation:

Given : The league championship 800 meter race has 6 runners.

The number of positions = 3

Since order matters here , so we use Permutation.

The permutation of n things taking r at a time is given by :-

$^nP_r=\dfrac{n!}{(n-r)!}$

Then, the number of different ways they place first, second, and third :_

$^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120$

Hence, they can place first, second, and third in 120 different ways .

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Using distributive property combine 13c - 7c= Show work

emmasim [6.3K]

Actually, distributive property isn't needed to combine this. You can simply subtract 7 from 13 which will give you 6. The solution is 6c.

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2 years ago

Read 2 more answers

Bob drove at an average speed of 15km/h correct to the nearest unit. He drove for 3 hours, correct to the nearest hour. What is

Mazyrski [523]

Answer:

45km

Step-by-step explanation:

Given data

Average Speed= 15km/h

Time = 3 hours

Required

The distance traveled

Speed= distance/time

Distance= speed*time

Distance= 15*3

Distance= 45km

Hence the lower bound of the distance is 45km

5 0

2 years ago

How can you identify unit rate from a table, equation and graph

Zina [86]

Answer:

hiiii

Step-by-step explanation:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

(Table)

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour. ( equation)

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate. ( Graph)

8 0

3 years ago

For what value of b do the lines bx+3y=10 and x–2y=4 intersect at a point on the x-axis?

MatroZZZ [7]

Answer:

b=2.5

Step-by-step explanation:

every point on x axis has y coordinate =0

so bx=10

x=4

4b=10

b=10/4=5/2=2.5

5 0

3 years ago

In the figure shown, What is the value of x? a. 57° b. 123° c. 33° d. 147°

Ilia_Sergeevich [38]

Answer:
d. 147 degrees

Explanation:
Please check the picture attached after reading the explanation :)

Assuming that l1 and l2 are parallel, we can identify that the angle at the intersection point of l3 and l2 is the alternate exterior angle of the angle that measures 57 degrees.

This means that that angle also measures 57 degrees.

We can see that l2, l4 and l3 form this little triangle at the corner and we now know that one of its angles measure 90 degrees and the other measures 57 degrees.

In a triangle, the sum of all its interior angles is equal to 180 degrees so we can find the last angle of the triangle by subtracting 90 and 57 from 180.

180-57-90
=33 degrees

A straight lines has an angle measure of 180 degrees as well, so we can find angle x by subtracting 33 from 180.

180-33
=147

Therefore, the measure of angle x is 147 degrees.

I hope this helps!

7 0

2 years ago