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Mekhanik [1.2K]
3 years ago
6

What is the first step in solving the equation 9m - 2 = 16?

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

salantis [7]3 years ago
6 0
Add 2 to each side so 9m = 16 + 2
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Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
Brut [27]

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▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

\frac{4}{9} / 8

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

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3 years ago
Find exact length of the third side
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Answer: 12

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Svetlanka [38]

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3 years ago
Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i
Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = \$(\dfrac{300}x)

Books left after giving 15 of them = x-15

Selling price of (x-15) books=  $330

Selling price of one book = \$(\dfrac{330}{x-15})

Profit on each book= $1.50

Profit = selling price - cost price

\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75

Number of books cannot be negative.

So, there are 75 books.

Price of each book = \dfrac{300}{75}=\$4

So price of each book = $4.

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