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Alexeev081 [22]
3 years ago
10

Out of a total of 300 crayons, 42 are blue. What percent of the crayons are blue?

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

14%

Step-by-step explanation:

42 is divisible of 3, the same with 300, if you put this equation into a fraction (42/300) and divide by 3, you should end up with 14/100 which is equal to 14%.

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Find the area of the figure.
givi [52]

these are just two semi-circles, one with a diameter of 22 and the other with a diameter of 30 - 22, or 8, and therefore their radius are 11 and 4 respectively.


\bf \textit{area of a semi-circle}\\\\ A=\cfrac{\pi r^2}{2}~~,~~  \stackrel{r=11}{A=\cfrac{\pi 11^2}{2}}\implies A=\cfrac{121\pi }{2}~~,~~ \stackrel{r=4}{A=\cfrac{\pi 4^2}{2}}\implies A=8\pi \\\\ -------------------------------\\\\ \stackrel{\textit{total area of the figure}}{\cfrac{121\pi }{2}+8\pi }\implies \cfrac{121\pi +16\pi }{2}\implies \cfrac{137\pi }{2}

4 0
2 years ago
What is the answer please?
stealth61 [152]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
2 years ago
A shopkeeper bought some eggs at ¢15 each. Six of them were broken while the rest were sold at ¢20 each. If he made a profit of
zvonat [6]
In the given problem it is already stated that the cost of each eggs is 15 cent. Out the total eggs bought 6 were broken. The rest of the eggs were sold for 20 cents each and the profit made was $4.80.
Cost of the 6 broken eggs = (6 * 0.15)
                                           = 0.9 cents
Let us assume that the number of eggs bought = x
Then we can write the equation as
0.2x - (0.15x - 0.9) = 4.80
0.2x - 0.15x + 0.9 = 4.80
0.05x = 4.80 - 0.9
0.05x = 3.9
x = 3.9/0.05
   = 78
So the number of eggs bought by him is 78
6 0
3 years ago
Who can converte y=x^2-8x+15 from standard form to vertex form
GuDViN [60]
The vertex form is y=(x-4)^2-1
5 0
3 years ago
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