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gulaghasi [49]
3 years ago
8

How many solutions does the equation have? 6-a = 1/3(9a-18)

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0
6 - a = \frac{1}{3} (9a - 18)

First, simplify \frac{1}{3} (9a - 18) to \frac{9a-18}{3} / Your problem should look like: 6 - a =  \frac{9a - 18}{3}
Second, multiply both sides by 3. / Your problem should look like: 18 - 3a = 9(a - 2)
Third, expand. / Your problem should look like: 18 - 3a = 9a - 18
Fourth, add 3a to both sides. / Your problem should look like: 18 = 9a - 18 + 3a
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like: 18 = 12a - 18
Sixth, add 18 to both sides. / Your problem should look like: 18 + 18 = 12a
Seventh, add 18 + 18 to get 36. / Your problem should look like: 36 = 12a
Eighth, divide both sides by 12. / Your problem should look like: \frac{36}{12} = a
Ninth, since 3 goes into 12 to get 36, simplify \frac{36}{12} to 3. / Your problem should look like: 3 = a
Tenth, switch sides. / Your problem should look like: a = 3

Answer: a = 3 (one solution)

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Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

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