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Free_Kalibri [48]
2 years ago
9

Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After

Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

Jamal added 9 purple sox

Step-by-step explanation:

Here, we want to increase the probability

Initially the probability is;

18/(6 + 18 + 12) = 18/36 = 1/2 or 0.5 or 50%

So now, the probability is 60% which is 60/100 or 0.6

If we added x socks, then we number of purple socks become (18 + x)

The total number of x will be (36 + x)

so the probability now will be;

18+x/36 + x = 0.6

18 + x = 0.6(x + 36)

18 + x = 0.6x + 21.6

x-0.6x = 21.6-18

0.4x = 3.6

x = 3.6/0.4

x = 9

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\because \: time \times speed  = distance \\  \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \:  \{2(t + 3) \}^{2} =  {9}^{2}  \\  \therefore \:  \{2(t + 3) \} =  {9}   \\  \therefore \: t + 3 =  \frac{9}{2}  \\ \therefore \: t  =  \frac{9}{2}  - 3 \\  \therefore \: t  =  \frac{9 - 6}{2}  \\  \therefore \: t  =  \frac{3}{2}  \\ \therefore \: t  =  1.5 \: hrs  \\

\because \: time \times speed  = distance \\  \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \:  \{2(t + 3) \}^{2} =  {9}^{2}  \\  \therefore \:  \{2(t + 3) \} =  {9}   \\  \therefore \: t + 3 =  \frac{9}{2}  \\ \therefore \: t  =  \frac{9}{2}  - 3 \\  \therefore \: t  =  \frac{9 - 6}{2}  \\  \therefore \: t  =  \frac{3}{2}  \\ \therefore \: t  =  1.5 \: hrs  \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\   \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car  = 45 \:km/ h}}} \\

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