3 years ago

What is the solution to the following system of equations? x+2y=2 x-2y=-2

Mathematics

1 answer:

Tcecarenko [31]3 years ago

7 0

All in all you would get the answer x+y=1.

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

Note that: 1 is subtracted because it is a probability without replacement

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

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How much would 180 pens cost if bought in boxes of 12, each box costing $5.80?

harina [27]

87 DOLLARS IS THE ANSWER

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How to find the probability of this? Please explain Thanks!

Inessa05 [86]

Answer:

3/4

pick 1,3,5 (reds) from 1,3,5,7(odd-numbered)

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Tristan's pen is 2/3 foot long. His pencil is 5/12 foot long. In feet , what is the conbined length of the pen and pencil

frosja888 [35]

The unsimplified answer is 40/12ft long.

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1) What are the solutions of the equation? x^2 – 3x = 28? Asap please . 30 points

Sedbober [7]

2-3x=28
-3x=28-2
-3x=26
X=-26/3

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