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liberstina [14]
3 years ago
8

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)

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0
1. 22 - 3x + 7x = 4(x + 5)
   22 - 3x + 7x  = 4x + 20
  <u>      +3x  +3x   +3x          </u>
         22 + 10x = 7x + 20
        <u>          -7x   -7x        </u>
           22 + 3x = 20
          <u>-22         -22</u>
                   <u>3x</u> = -<u>2</u>
                    3      3
                     x = -2/3

2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
    <u>       +18   +18</u>
           <u>12x</u> = <u>12</u>
            12     12
               x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 =  -3x
    6x - 14 = 2(-7)
    6x - 14 = -14
    <u>     +14   +14</u>
           <u>6x</u> = <u>0</u>
            6     6
             x = 0

4. 6x + 3(x - 4) = 8(x - 3)
    6x + 3x - 12 = 8x - 24
            9x - 12 = 8x - 24
           <u>-8x          -8x        </u>
              x - 12 = -24
              <u>   +12    +12</u>
                     x = -12
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Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses.
alexgriva [62]

<u><em>Answers:</em></u>

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

b. 0.4 liters/glass

c. 400 ml/glass

<u><em>Explanation:</em></u>

<u>Part a:</u>

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)

<u>Therefore:</u>

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

<u>Part b:</u>

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

<u>Therefore:</u>

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

<u>Part c:</u>

Now, we know that 1 liter is equivalent to 1000 ml

<u>Therefore:</u>

0.4 liters = 0.4 × 1000 = 400 ml/glass

Hope this helps :)

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