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BlackZzzverrR [31]
3 years ago
5

An art teacher has 192 containers of paint for 17 students. If the teacher wants to provide each student with an equal amount of

containers how many containers would be left over
Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer: 5 containers

Step-by-step explanation:

Total containers= 192

Total students= 17

Each student will get, 192/17 = 11 5/17.

Each student gets 11 containers of paint and there'll be 5 left.

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Use completing the square to solve the equation x2 - 10x = -8.
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Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

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Triangle ABC is a triangle with no equal sides. A new triangle congruent to triangle ABC is to be placed on the plane such that
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Step-by-step explanation:

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Answer:  \bold{x=\dfrac{1\pm \sqrt5}{2}}

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<u>Step-by-step explanation:</u>

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

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3 years ago
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