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Natasha2012 [34]
3 years ago
13

Simplify. 8m+4n+7m−2n What is the answerWhich expression shows the result of applying the distributive property to 3(2x−6) ?

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

  1. 15+2n
  2. 6(x-3)

Step-by-step explanation:

  1. 8m+4n+7n-2n
  2. 8m+7n+4n-2n
  3. 15n+2n
  1. 3(2x-6)
  2. 3 multipied by 2x and 6= 6x-18
  3. The GCF(greatest common factor)is 6
  4. 6x divided by 6 is x and 18 divided by 6 is 3

so the GCF goes outside the parenthesis and the numbers you got after you divided goes inside. 6(x-3)

Hope this helps!

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¿ Cuanto es el 25% de 6,127?
torisob [31]

Answer:

25% de 6127 es

\frac{25}{100}  \times 6127    = 1531.75

Espero que esto te ayude

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3 years ago
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3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Bad White [126]

Answer:

y = -\frac{2}{5} x-6

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m =\frac{y_2-y_1}{x_2-x_1}. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\  

So, the slope of the line is -\frac{2}{5}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6

6 0
3 years ago
Stacey jumped off the diving board that was 60 inches high. How Many feet high was the diving board.
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"in 2012, total u.s. bottled water consumption increased to 9.67 billion gallons, up from 9.1 billion gallons in 2011. in fact,
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Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0
2 years ago
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