What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)

1 answer:

8 0

1. 22 - 3x + 7x = 4(x + 5)
 22 - 3x + 7x = 4x + 20
 +3x +3x +3x 
 22 + 10x = 7x + 20
 -7x -7x 
 22 + 3x = 20
 -22 -22
 3x = -2
 3 3
 x = -2/3

2. 6(2x - 3) = 3(3 - 5)
 12x - 18 = 3(-2)
 12x - 18 = -6
 +18 +18
 12x = 12
 12 12
 x = 1

3. 6x - 14 = 2(3x - 7)
 6x - 14 = -3x
 6x - 14 = 2(-7)
 6x - 14 = -14
 +14 +14
 6x = 0
 6 6
 x = 0

4. 6x + 3(x - 4) = 8(x - 3)
 6x + 3x - 12 = 8x - 24
 9x - 12 = 8x - 24
 -8x -8x 
 x - 12 = -24
 +12 +12
 x = -12

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Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses.

alexgriva [62]

Answers:

a. $\frac{2}{5}$ liters/glass

b. 0.4 liters/glass

c. 400 ml/glass

Explanation:

Part a:

We are given that two bottles each holding 2 liters of soda

This means that the total amount of soda = 2 * 2 = 4 liters

To get the amount of soda in each glass, we will simply divide the amount of soda by the number of glasses (given the number of glasses is 10)

Therefore:

Amount of soda in each glass = $\frac{4}{10} = \frac{2}{5}$ liters/glass

Part b:

We are now asked to express the amount in fraction. The simplest way to do this is to make the denominator a multiple of 10. The number of zeroes in the denominator will be equal to the number of digits after the decimal point

Therefore:

$\frac{2}{5}=\frac{4}{10}=0.4$ liters/glass