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vlada-n [284]
3 years ago
5

Charlie gathers apples, pears, and plums. The numbers of apples and plums are 10-partners. There are the same number of apples a

nd pears. How many pieces of fruit can Charlie gather? How do you show the work?
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

<u>The total number of pieces of fruit that Charlie can gather ranges from 11 to 19.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Numbers of apples and plums are 10-partners, it means that the sum of apples and plums is 10.

Number of apples and pears are the same.

2. How many pieces of fruit can Charlie gather?

Apples = a

Plums = p

Pears = s

a + p = 10

Possible values of a and p:

1 + 9, 2 + 8, 3 + 7, 4 + 6, 5 + 5, 6 + 4, 7 + 3, 8 + 2, 9 + 1

Possible values of s:

1, 2, 3, 4, 5, 6, 7, 8, or 9

<u>Therefore, the total number of pieces of fruit that Charlie can gather ranges from 11 to 19.</u>

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For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1}) and (x_ {2}, y_ {2}) are two points through which the line passes.

Question 1:

According to the image, we have the following points:

(x_ {1}, y_ {1}) :( 2, -6)\\(x_ {2}, y_ {2}): (- 6,5)

Substituting we have:

m = \frac {5 - (- 6)} {- 6-2} = \frac {5 + 6} {- 8} = \frac {11} {- 8} = - \frac {11} {8}

Thus, the slope is: - \frac {11} {8}

Question 2:

According to the image, the line goes through the following points:

(x_ {1}, y_ {1}): (- 1,2)\\(x_ {2}, y_ {2}) :( 2, -2)

Substituting we have:

m = \frac {-2-2} {2 - (- 1)} = \frac {-4} {2 + 1} = \frac {-4} {3} = - \frac {4} {3}

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Answer:

Slope 1: - \frac {11} {8}

Slope 2:- \frac {4} {3}

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9514 1404 393

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Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

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<u>Second line</u>:

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The slope of the second line is undefined.

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It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.

Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.

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