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shepuryov [24]
3 years ago
12

There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps,

how many caps are there altogether.
Mathematics
1 answer:
3241004551 [841]3 years ago
5 0
\frac{1}{6}x+\frac{1}{3}x+\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=x\\\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=27\\\frac{3}{7}(x-(\frac{1}{2}x))=27\\\frac{3}{7}(\frac{1}{2}x)=27\\x=126

126 caps
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What is the value of x in the equation 8x – 2y = 48, when y = 4?
Phoenix [80]
Hey there!

So, if y=(4), this would mean that we would do (2 \ * \ 4) and from this, we would get 8. 

We will then need to find what is (x).

(x) = 7

8*7 = \boxed{56}

So, the equation would really look like . . .

\left[\begin{array}{ccc} 8*(7)-2*4 = 48 \\ \\ x=\boxed{7}\end{array}\right]

Hope this helps.
~Jurgen
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3 years ago
Jared has one pizza that has 12 slices. he wants to share his pizza with his two brothers. how many slices will each boy have if
zimovet [89]
Each brother should get 4 slices. 12 slices divided by 3 brothers equals 4 slices each.
7 0
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To convert 7 m/m to yards per hour around the nearest 10th
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It would be at least 70 yph I am probably sure
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200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
True [87]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

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7 0
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Nezavi [6.7K]

Answer:

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Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\

\frac{y}{-5}-\frac{20}{-5}  = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x

And now we change the variables and we get the inverse function:

y= \frac{-1}{5} x +4

7 0
3 years ago
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