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SashulF [63]
2 years ago
10

Adam works for an agency.

Mathematics
2 answers:
denis23 [38]2 years ago
7 0
Hi there! I am here to help you with your question.

Adam normally earns 8.32 an hour. To get your answer, please follow my steps.

1. 8.32 * 6 (how much he has to work for).

Despite the two decimal places, we can ignore them and complete the process normally.

8 3 2
6
——————-
4 9 9 2

2. Add your decimals in the correct places aka 49.92!

3. Multiply 49.92 * 1/3 (a third) and you will get your answer: 16.64.

Hope this helped!
maksim [4K]2 years ago
5 0
The answer is he earns 8.32 an hour have a great day
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When a number is tripled and 8 is subtracted from the result, the answer is 16. What is the number?
ivann1987 [24]

N(3)-8=16

add 8 to both sides

3n=24

Divide each side by three

n=8


6 0
2 years ago
What are the types of roots of the equation below?<br> - 81=0
Tju [1.3M]

Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0. This can be obtained by finding root of the equation using algebraic identity.    

<h3>What are the types of roots of the equation below?</h3>

Here in the question it is given that,

  • the equation x⁴ - 81 = 0

By using algebraic identity, (a + b)(a - b) = a² - b², we get,  

⇒ x⁴ - 81 = 0                      

⇒ (x² +  9)(x² - 9) = 0

⇒ (x² + 9)(x² - 9) = 0

  1. (x² -  9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
  2. x² + 9 = 0 ⇒ x² = -9 ⇒ x = √-9 ⇒ x= √-1√9 ⇒x = ± 3i

⇒ (x² + 9) = (x - 3i)(x + 3i)

Now the equation becomes,

[(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

Therefore x + 3, x - 3, x + 3i and x - 3i are the roots of the equation

To check whether the roots are correct multiply the roots with each other,

⇒ [(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

⇒ [x² - 3x + 3x - 9][x² - 3xi + 3xi - 9i²] = 0

⇒ (x² +0x - 9)(x² +0xi - 9(- 1)) = 0

⇒ (x² - 9)(x² + 9) = 0

⇒ x⁴ - 9x² + 9x² - 81 = 0

⇒ x⁴ - 81 = 0

Hence Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: What are the types of roots of the equation below?

x⁴ - 81 = 0

A) Four Complex

B) Two Complex and Two Real

C) Four Real

Learn more about roots of equation here:

brainly.com/question/26926523

#SPJ9

5 0
1 year ago
Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2
ololo11 [35]
<h3>6w^2 +8w +4 is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

w^2 + 7w^2 + 8w -5+9-2w^2

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

w^2 + 7w^2 + 8w -5+9-2w^2

Group the like terms

w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4

Thus the given expression is simplified

4 0
3 years ago
How many times can 4 go into 68
katrin2010 [14]
4 can go into 68, 17 times. Hope this helps 68/4 = 17
7 0
3 years ago
Read 2 more answers
Http://prntscr.com/lkz30r<br> What is the value of x?<br> 28<br> 20<br> 36<br> 17
ivolga24 [154]

This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,

c^{2}= a^{2}+ b^{2}

Where,

c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,

(29)^{2}= (21)^{2} +x^{2} \\841=441+x^{2} \\400=x^{2} \\20=x

So, 20 is the side length of x.

ANSWER: 20

5 0
2 years ago
Read 2 more answers
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