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julia-pushkina [17]
3 years ago
5

How do u write 5(2x - 1) in a distributive property

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

5(2x-1) = 5(2x) - 5(1)

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

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Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe
Hunter-Best [27]
<h2>Answer:</h2>

(a)   P(11,5)= 55440

(b)  C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

P(n,r)=\dfrac{n!}{(n-r)!}

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

C(n,r)=\dfrac{n!}{r!\times (n-r)!}

(a)

               P(11,5)

P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440

(b)

                 C(11,5)    

C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462

8 0
3 years ago
Circle A has a radius of 21 meters . Circle B has a radius of 28 meters. Find the circumference if each circle in terms of pi
qwelly [4]

Answer:

Circle A= 42\pi

Circle B =56\pi

Step-by-step explanation:

Circumference of a circle =2\pi r

Since you are given the radius, you put it in place of r

Circle A = 2 *\pi *28\\21*2 = 42\\\\42\pi

                                            Circle B= \\2*\pi *28\\28*2 =56\\56\pi\\\\\\

7 0
4 years ago
Joseph has 150 animals on his farm. ⅕ of the animals are chickens, ⅕ of the animals are cows, and the rest of the animals are go
ASHA 777 [7]

Answer:

90 goats

Step-by-step explanation:

Number of chickens in  farm = (1/5) of 150

                                               = \frac{1}{5}*150

                                               = 1 * 30

                                               = 30

Number of cows in  farm = \frac{1}{5}*150

                                         = 1 * 30

                                         = 30

Number of goats in  farm  = 150 - (30 + 30)

                                           = 150 - 60

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4 0
4 years ago
Read 2 more answers
X to the 2 power = -169 solve for X
Snezhnost [94]
x^2=-169\\\\in\ the\ real\ numbers\ set\ (\mathbb{R})\ no\ solution\to x\in\O\\\\in\ the\ complex\ _numbers\ set\ (\mathbb{C}):\\\\i=\sqrt{-1}\\\\therefore:\\\\x^2=-169\\\\x=\pm\sqrt{-169}

x=\pm\sqrt{-1\cdot169}\\\\x=\pm(\sqrt{-1}\cdot\sqrt{169})\\\\x=\pm(i\cdot\sqrt{13^2})\\\\\boxed{x=\pm13i}
7 0
3 years ago
Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?
son4ous [18]

Answer:

44 Minutes

Step-by-step explanation:

If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.

If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.

<em>Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.</em>

3 0
3 years ago
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