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2 years ago

Factor this expression completely.

Mathematics

1 answer:

Orlov [11]2 years ago

5 0

Answer:

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

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Use prime factorization to reduce the fraction 36/180

laila [671]

Answer:

Step-by-step explanation:

36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3

180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5

$\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}$

Factors that are common will be cancelled

5 0

2 years ago

4b2 + 5b - 27

joja [24]

Answer:

The answer is C, the coefficient.

7 0

2 years ago

a radioactive sample contains 3.00 g of pure 11c, which has a half-life of 20.4 min. (a) how many moles of 11c are present initi

sveta [45]

The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole

<h3>Description of mole </h3>

The mole of a substance is related to it's mass and molar mass according to the following equation

Mole = mass / molar mass

With the above formula, we can obtain the number of mole of pure 11C. Detail below:

<h3>How to determine the mole of 11C</h3>

From the question given, the following data were obtained:

Molar mass of 11C = 11 g/mol
Mass of 11C = 3 g
Mole of 11C =?

Mole = mass / molar mass

Mole = 3 / 11

Mole = 0.2727 mole

Therefore, the number of mole of pure 11C initially present is 0.2727 mole

Learn more about mole:

brainly.com/question/13314627

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8 0

1 year ago

The sum of the interior angles

klio [65]

Answer:

19 sides

Step-by-step explanation:

Sum of angles of n-side polygon = 180 *(n - 2)

180 *(n -2) = 3060

Divide both sides by 180

n- 2 = 3060/180

n - 2 = 17

n = 17+2

n = 19

7 0

2 years ago

Read 2 more answers

Find the value of x.round to the nearest tenth

Nata [24]

Answer:

$\displaystyle x \approx 8.2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = 23°

Opposite Leg = <em>x</em>

Hypotenuse = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [sine]: $\displaystyle sin(23^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate <em>x</em>: $\displaystyle 21sin(23^\circ) = x$
Rewrite: $\displaystyle x = 21sin(23^\circ)$
Evaluate: $\displaystyle x = 8.20535$
Round: $\displaystyle x \approx 8.2$

7 0

2 years ago