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Flauer [41]
2 years ago
8

4(2*2 + 3) - 2*2 = -(3*2 - 1) + 29

Mathematics
2 answers:
mel-nik [20]2 years ago
7 0

Answer:

24 = 24

Step-by-step explanation:

<u>PEMDAS</u>

The PEMDAS rule is an acronym representing the <u>order of operations</u> in math:

  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

<u>Solution Option 1</u>

(Taking * as a multiplication sign)

Given equation:

4(2 × 2 + 3) - 2 × 2 = -(3 × 2 - 1) + 29

Following the <u>order of operations</u>, carry out the operations inside the parentheses first, starting with the <u>multiplication</u>:

4(4 + 3) - 2 × 2 = -(6 - 1) + 29

Carry out the <u>addition and subtraction</u> inside the parentheses:

4(7) - 2 × 2 = -(5) + 29

Now carry out the multiplication:

28 - 4 = -5 + 29

Finally carry out the addition and subtraction:

24 = 24

<u>Solution Option 2</u>

(Taking * as a "raising to the power of" sign)

Given equation:

4(2² + 3) - 2² = -(3² - 1) + 29

Following the <u>order of operations</u>, carry out the operations inside the parentheses first, starting with the <u>exponents</u>:

4(4 + 3) - 2² = -(6 - 1) + 29

Carry out the <u>addition and subtraction</u> inside the parentheses:

4(7) - 2² = -(5) + 29

Now carry out the exponents:

28 - 4 = -5 + 29

Finally carry out the addition and subtraction:

24 = 24

Kay [80]2 years ago
5 0

Answer:

24=24

Step-by-step explanation:

4(4+3) - 4 = -(6-1) + 29

4 * 7 -4 = -5 + 29

24 = 24

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Answer:

A. too much

Step-by-step explanation:

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3 years ago
If the probability density of a random variable is given by find the probabilities that a random variable having this probabilit
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Answer

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Step-by-step explanation:

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3 0
4 years ago
Suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially?
nalin [4]

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

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Step-by-step explanation:

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8 0
2 years ago
PLEASE HELP ME!!!
noname [10]
I got y=2/3x + 10 , i hope that’s right!
3 0
3 years ago
2 tan 30°<br>II<br>1 + tan- 300​
shusha [124]

Question:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Answer:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

Step-by-step explanation:

Given

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Required

Simplify

In trigonometry:

tan(30^{\circ}) = \frac{1}{\sqrt{3}}

So, the expression becomes:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}

Simplify the denominator

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}

Express the fraction as:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= \frac{2}{\sqrt 3} / \frac{4}{3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2}{\sqrt 3} * \frac{3}{4}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{1}{\sqrt 3} * \frac{3}{2}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3}

Rationalize

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3\sqrt{3}}{2* 3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\sqrt{3}}{2}

In trigonometry:

sin(60^{\circ}) =  \frac{\sqrt{3}}{2}

Hence:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

3 0
3 years ago
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