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OLEGan [10]
2 years ago
14

Help please and Thank you

Mathematics
2 answers:
storchak [24]2 years ago
6 0

20 minutes is 1/3 of an hour, so an hour can be split into 3 20 minute sections.

They run 4 miles each 20 minute section equals 4 x 3 = 12 miles per hour.

Serggg [28]2 years ago
3 0

Answer:

12\:mph

Step-by-step explanation:

Multiply the proportion [both denominator and numerator] by 3, since you have to multiply 20 by 3 to get one hour. Then, whatever is done to the bottom is also done to the top, so 3 by 4 is 12, therefore you have 12 mph.

I am joyous to assist you anytime.

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4x+499=660
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Identifying Slope and y-Intercept of a Line
Ira Lisetskai [31]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

y = 1 - 3x = -3x + 1

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y-intercept at 1

y = 3x - 1

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3 years ago
What are the x-intercepts of the function f(x) = –2x^2 – 3x + 20?
Jet001 [13]

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(5/2,0) and(-4,0)

Step-by-step explanation:

I hope this helps.

5 0
3 years ago
What is the answer?How do you solve this?
Alika [10]

Answer:

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Step-by-step explanation:

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3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
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