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yaroslaw [1]
2 years ago
11

P = {52, 77, 91, 124, 217) Three members of the set P have a common factor which is

Mathematics
1 answer:
Marrrta [24]2 years ago
4 0

tis always a good idea when factoring to start off with a quick prime factoring.

\begin{array}{llll} 52&=&2\cdot 2\cdot 13\\\\ 77&=&\boxed{7}\cdot 11\\\\ 91&=&\boxed{7}\cdot 13\\\\ 124&=&2\cdot 2\cdot 31\\\\ 217&=&\boxed{7}\cdot 31 \end{array}

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I really need to know how long it takes the large pipe on its own
Andreyy89

s = hours it takes the small pipe on its own.


L = hours it takes the large pipe on its own.


we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?


well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.


we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.


in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.


\bf \stackrel{\textit{how much has it been done by both in 1 hour}}{\stackrel{\stackrel{small}{rate}}{\cfrac{1}{s}}+\stackrel{\stackrel{large}{rate}}{\cfrac{1}{L}}~~=~~\stackrel{job}{\cfrac{1}{6}}} \\\\\\ \cfrac{1}{11}+\cfrac{1}{L}=\cfrac{1}{6}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{66L}}{6L+66=11L}\implies 66=5L \\\\\\ \cfrac{66}{5}=L\implies 13\frac{1}{5}=L\impliedby \textit{13 hours and 12 minutes}


and you can round that up as needed.

7 0
3 years ago
Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as sho
Nadya [2.5K]

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

7 0
3 years ago
I need help with this question
Dimas [21]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896

4 0
2 years ago
Mark reduce the size of a photo to a height of 4 inches. What is the new width if it was originally 16 inches tall and 8 inches
uranmaximum [27]

Answer:

Step-by-step explanation:

new height is ¼ of original height

new width = ¼×8 = 2 inches

4 0
3 years ago
Read 2 more answers
Olivia ordered 24 cupcakes and a layer cake costs 16$ and the total cost of the order was 52$ what was the price of each cupcake
Tju [1.3M]

Let x be the price of a cupcake. There are 24 cupcakes so it will be 24x. Solution: 24x+16=52 24x=52-16 24x=36 Divide both sides by 24 X=1.5. The price of each cupcake is 1.5$

8 0
3 years ago
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