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topjm [15]
3 years ago
14

Santa has lots of mixed up socks in his sack! If he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the

minimum he needs to pull out of his sack to get a matching pair?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Based on the problem above, the minimum he needs to pull out of his sack to get a matching pair is 5
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Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger.
Alexus [3.1K]

Probably the ones that are big..

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What is 1/3 of 21,<br> 2/5 of 40<br> 4/7 of 280
Lubov Fominskaja [6]
\frac{1}{3} \times 21=\frac{21}{3}=\frac{7 \times 3}{3}=7 \\ \\&#10;\frac{2}{5} \times 40=\frac{2 \times 40}{5}=\frac{2 \times 8 \times 5}{5}=2 \times 8=16 \\ \\&#10;\frac{4}{7} \times 280=\frac{4 \times 280}{7}=\frac{4 \times 40 \times 7}{7}=4 \times 40=160
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3 years ago
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write an equation of a line that passed through the point (2,0) and is a perpendicular to the line y=-1.5+3
kotegsom [21]

You will be using the equation y = mx + b

The only variables you need to find are "m" and "b"

For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.

For example:

m = -2

perpendicular slope = 1/2(positive)

m = 3/4

perpendicular slope = -4/3(negative)


The slope of the line is -1.5 or -3/2

Your new slope is 2/3

y = 2/3x + b

To find "b", you plug in the point (2,0) into the equation.

0 = 2/3(2) + b

0 = 4/3 + b

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Your new equation is y = 2/3x - 4/3

7 0
3 years ago
Multiply out and simplify to obtain a minimum sum-of-products boolean expression:
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Answer:

As per the question, we need to convert product of sum into sum of product,

Given:

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At first, we will solve to parenthesis,

= (A'+C'+BD) (B'+D')

As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,

(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)

Now,  

= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"

As we know that AA' =  0, it mean

=A'B'+A'D'+C'B'+C'D'+D*0+B0

=A'B'+A'D'+C'B'+C'D'               as B * 0 and D*0 = 0

Finally, minimum sum of product boolean expression is

A''B'+A'D'+C'B'+C'D'

=

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The correct answer is statement number 3. A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
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