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Natasha_Volkova [10]
3 years ago
7

WILL MARK BRAINLIEST IF ANSWERED CORRECTLY!

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0
First question:

4(3x-5) + (2x -2)(4 + 3x-5)
Simplify -----> 12x - 20 + (2x-2)(3x-1)
Multiply the second part -----> 12x - 20 + 6x^2 -8x + 2
Combine like terms --------> 6x^2 + 4x - 18

Each side of the addition sign represents one of the rectangles above which is then added to get the area of the entire figure.

Second question:

The average is the summation of each data value divided by the number of data values. So it would be

(4 + 5 + 9)/ 3

Simplify ------> 18/3
Divide --------> 6
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Step-by-step explanation:

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2 years ago
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timurjin [86]

If the unknown value is x, then x = \frac{14}{4} × 6 = 21.

Explanation:

  • Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
  • The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be;                                  \frac{7}{2} = \frac{14}{4} = \frac{x}{6} = \frac{28}{8} = \frac{35}{10} = 3.5. So \frac{x}{6} = 3.5, x = 3.5 × 6 = 21.
  • We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration.                                                      So \frac{14}{4} = \frac{x}{6}, x = \frac{14}{4} × 6 = \frac{84}{4} = 21.

3 0
3 years ago
Read 2 more answers
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