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2 years ago

Simplify each expression by distributing and combining like terms.

Mathematics

1 answer:

solniwko [45]2 years ago

5 0

Hello!

Answer:

1) 7k+35

2) 9n−36

3) 4x+22

Step-by-step explanation:

1) 7(k+5)

1) 7k+7×5

1) 7k+35

2) 9(n-4)

2) 9n+9×−4

2) 9n−36

3) 4(x+5)+2

3) 4x+20+2

3) 4x+(20+2)

3) 4x+22

Hope this helps!

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

80 tons
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Step-by-step explanation:

21. 1st scenario

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3 years ago

an aquarium tank is 3 feet long, 1 foot wide, and 2 feet high. how many gallons of water would it take to fill the tank two-thir

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Step-by-step explanation:

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3 years ago

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

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So, the probability is:

$Pr = \frac{G * U}{Total}$

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$Pr = \frac{30}{70}$

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2 years ago

¿Cuál es el resultado de (-2)(-3)*(-1)x 5?

podryga [215]

=-30
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2 years ago