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melomori [17]
3 years ago
15

Paula bought a ski jacket on sale for $5 less than half its original price. She paid $87 for the jacket. What was the original p

rice?
Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

184

Step-by-step explanation:

charle [14.2K]3 years ago
3 0

Answer:

$184

Step-by-step explanation:

87 is 5 less than 1/2 of the price without a sale. in that case 92 would be half the cost. To find the full value you would multiply 92 by two to get 184

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mash [69]

Answer:

Question 1: 40 shirts and 40 magizines

Question 2: $4.4

Question 3: 6 gallons

7 0
3 years ago
Read 2 more answers
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
PLLLEEEAASSEE HELP ME<br><br> explain how you got the answer
valkas [14]
For # 1, the answer will be 1 because of the exponential rule a^{0} = 1.

#2, the answer is going to be x^{4} because of the exponential rule a^{-b} = \frac{1}{a ^{b} }.

#3. I'm not sure that this could be simplified any further.

#4  To get the answer to this question, we must apply the distributive property, along with the exponential rule a ^{m} × a ^{n} = a ^{m+n}. When we apply these properties, we'll get - \frac{3}{x^4}

For the other questions, they all apply the Laws of Exponents. 

5 0
3 years ago
What is 0.006 divided by 0.24
Zolol [24]
When dividing 0.006 divided by 0.024 it becomes 0.025, i did it by calculator so dont give me credit for this lol
8 0
3 years ago
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?​
Luden [163]

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

7 0
3 years ago
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