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Dovator [93]
3 years ago
10

Daniel sold half of his comic books and then bought sixteen more . He now has 37 . With how many did he begin with?

Mathematics
2 answers:
icang [17]3 years ago
5 0

Answer:

42 books

Step-by-step explanation:

aalyn [17]3 years ago
4 0

Answer:

42 comic books

Step-by-step explanation:

We can write an equation for this. Let x be the original amount of comic books.

\frac{x}{2} + 16 = 37

Now that we have our equation, we can start solving it. Our goal is to get x by itself. Let's first move the 16 to the right of the equals sign. Remember, "change side, change sign."

\frac{x}{2} = 37 - 16

Subtract.

\frac{x}{2} = 21

Now, we can see that x is being divided by 2. To get x by itself, we must also multiply it by 2. We also have to multiply the 21 by 2 because what you do to one side of the equation, you must do to the other.

2 · \frac{x}{2} = 21 · 2

The 2's on the left side will cancel each other out, leaving us with x.

x = 21 · 2

Multiply.

x = 42

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cos45=1/√2

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√(2)/2

or if you prefer:  √(1/2)
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Simplify: <br> 3(n-2) <br><br> whats the answer?
Pie

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

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3 years ago
What is the square root of m^6?
Nastasia [14]
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

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First one is x(7-4)

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