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QveST [7]
3 years ago
15

PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with

more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.
Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer:

If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:

  • 2 x 5 or 5 x 2 (10 pennies in total)
  • 2 x 6 or 6 x 2 (12 pennies in total)
  • 2 x 7 or 7 x 2 (14 pennies in total)
  • 2 x 8 or 8 x 2 (16 pennies in total)
  • 2 x 9 or 9 x 2 (18 pennies in total)
  • 2 x 10 or 10 x 2 (20 pennies in total)
  • 2 x 11 or 11 x 2 (22 pennies in total)
  • 2 x 12 or 12 x 2 (24 pennies in total)
  • 2 x 13 or 13 x 2 (26 pennies in total)
  • 2 x 14 or 14 x 2 (28 pennies in total)
  • 2 x 15 or 15 x 2 (30 pennies in total)
  • 3 x 4 or 4 x 3 (12 pennies in total)
  • 3 x 5 or 5 x 3 (15 pennies in total)
  • 3 x 6 or 6 x 3 (18 pennies in total)
  • 3 x 7 or 7 x 3 (21 pennies in total)
  • 3 x 8 or 8 x 3 (24 pennies in total)
  • 3 x 9 or 9 x 3 (27 pennies in total)
  • 3 x 10 or 10 x 3 (30 pennies in total)
  • 4 x 4 (16 pennies in total)
  • 4 x 5 or 5 x 4 (20 pennies in total)
  • 4 x 6 or 6 x 4 (24 pennies in total)
  • 4 x 7 or 7 x 4 (28 pennies in total)
  • 5 x 5 (25 pennies in total)
  • 5 x 6 or 6 x 5 (30 pennies in total)
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Answer:

The line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

Step-by-step explanation:

Given the points

  • (0, 4)
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Finding the slope between the points

\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-4}{5-0}

m=-\frac{2}{5}

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

y  = mx+b

y\:=-\frac{2}{5}x+4

Therefore, the line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

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3 years ago
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Answer:

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Step-by-step explanation:

we know that

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m<FGH=m<HGI

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3*10-9=21°

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{2x + 6y = 12

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