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blondinia [14]
3 years ago
8

If the cost price of 21 articles is equal to the selling price of 18 articles, find the profit percentage​

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:  14.29%

Step-by-step explanation:

Let C be the cost of 1 article and S the selling price for 1 article.  The profit, P, for 1 article would be:

P = S - C

For n articles, the total profit would be

nP = nS - nC

Profit percentage would be (P/S)*100%

---------------------------------------------------------

We know that 21C = 18S:  This can be written as C = (18/21)S

P = S - C

P = S - (18/21)S

P = (3/21)S or P=(1/7)S

Profit percentage would therefore be

(P/S)*100%

((1/7)S/S)*100%

(1/7)*100%

= 14.29%

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What are the factors of the expression x^2+x-20?
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3 years ago
How do I simplify these expressions?<br> 5(x+8)+3<br> 3.6x-7-5.1x<br> 4+8x+2.2-10x
Aleks04 [339]

Answer:

1. 5x +43

2. -1.5x - 7

3. 6.2 - 2x

Step-by-step explanation:

<u />

<u>Equation 1:</u>

5 (x+8) +3

First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign

Now we have: 5x + 40 + 3

Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.

Our finished equation is: 5x + 43

<u />

<u>Equation 2:</u>

3.6x - 7 - 5.1x

First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.

We can add 3.6x and -5.1x and get -1.5x

Now we have: -1.5x - 7

<u />

<u>Equation 3:</u>

4 + 8x + 2.2 - 10x

We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.

Next, we can combine 4 and 2.2 and get 6.2.

Now, putting these back into our equation would look like this:

6.2 - 2x

I'm not sure how much my explanations helped, but I hope you understand!!

8 0
3 years ago
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