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navik [9.2K]
3 years ago
10

Tobias's music store bought a piano at the wholesale price of $550. Tobias marked up the price 35%. What was the amount of marku

p?
Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

A.  $58.50

B.  $80

C.  No. The markup was 33 1/3%

Step-by-step explanation:

You are expected to know the relevant relationship is ...

  cost + markup = selling price . . . . also called "store price" in this problem

___

A. The markup is 30% × $45 = $13.50, so the store price is ...

 $45 + 13.50 = $58.50

___

B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...

 $104 = 1.30 × cost

 $104/1.3 = cost = $80 . . . . . divide by the coefficient of cost

___

C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...

 $25/$75 × 100% = 33 1/3%

This is not 30%.

Step-by-step explanation:

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If a,b, and c are prime numbers, do (a+b)(a+b) and cc have a common factor that is greater than 1?
Tanya [424]

Answer:

1. Information is not sufficient

2. Information is not sufficient

Step-by-step explanation:

Question Modified

If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?

(1) a,b, and c are all different prime numbers

(2) c≠2

Explanation

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a + b = 1+3 = 4

4 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a + b = 1+3 = 4

4 and 2 have a common factor of 2

So, the available information is not sufficient

2.

Let's assume values of 2,7 and 3 to a b and c response

a + b = 2 + 7 = 9

9 and 3 have a common factor of 3

Also, let's assume values of 2,7 and 5 to a, b and c

a + b = 2 + 7 = 9

9 and 5 do not have a common factor

So, the available information is also not sufficient to answer the question.

3 0
4 years ago
Find all numbers p such that p and p^2 are both prime. prove that you found them all
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0 and 1 are neither prime nor composite. A prime is any number greater than 1 that has just 1 and itself as factors. Primes can only start at x > 1


When that happens (when you start with numbers greater than one) p^2 is a composite consisting of 2 primes, so any composite will obey the law that he number will have at least 3 factors making it up -- in this case p p^2 and 1.


So the answer to the question by definition is that 0 numbers can have the property of both p and p^2 to be prime.

5 0
3 years ago
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