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2 years ago

Travis has 157 books that he needs to pack into boxes. Each box can hold 9 books. How many boxes will Travis need?

Mathematics

2 answers:

Volgvan2 years ago

8 0

You have to divide 157 by 9 . Hope this helped (:

Aleks04 [339]2 years ago

6 0

About 18 boxes and but the last box will only have 5 books

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What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x(x-2)-3(x-2)=0$

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, your answer is C. x = 2 or x = 3.

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2 years ago

Please help (photo attached)

ipn [44]

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2 years ago

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olganol [36]

All you have to do is multiply it then you get the answer

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2 years ago

What is the probability that a customer ordered a hot drink given that he or she ordered a large?

elena55 [62]

I really don’t understand this question. can you explain this in the comment so i can answer your

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2 years ago

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

ipn [44]

Answer:

7/54

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

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P(Blue) = 6/18

Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.

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