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Alik [6]
3 years ago
15

Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal e

ntries on them. If Bella
wants to make 10 entries, how many different ways can she write them in her journal?

I've already seen an answer someone did by diagramming each of the actual coins, but is there an equation I can use, not just for this problem, but also other problems of this type? Thanks!
Mathematics
2 answers:
Makovka662 [10]3 years ago
7 0
<span>1 page with 10. 2 pages with five entries each. 5 pages with 2 each.  There are many more way such as 3 pages 2 with three entries and one with 1 entry.  4 pages with 2 entries and 1 with 4 </span>
lawyer [7]3 years ago
4 0

Answer:

Bella can write her journal in 6 different ways.

Step-by-step explanation:

Bella will make 10 journal entries, the possibilities are:

  1. 5 pages: 5 pages with 2 journal entries per page
  2. 6 pages: 4 pages with 2 journal entries per page and 2 pages with 1 journal entry each
  3. 7 pages: 3 pages with 2 journal entries per page and 4 pages with 1 journal entry each
  4. 8 pages: 2 pages with 2 journal entries per page and 6 pages with 1 journal entry each
  5. 9 pages: 1 page with 2 journal entries and 8 pages with 1 journal entry each
  6. 10 pages: 10 pages with one journal entry per page
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Consider the graph of the line y = x – 4 and the point (−4, 2).
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Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

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The students in Todd's grade voted to select a guest speaker. 24 students voted for a famous athlete. The other 8 students in To
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75% of students voted for the athlete

Step-by-step explanation:

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24/32 simplified = 3/4

3/4 = 75%

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1/12 I think I’m sorry if it isn’t
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Which of these equations is shown on this graph?
AlekseyPX

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Answer:

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