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Alinara [238K]
3 years ago
11

Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ

er should be written as a mixed number.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

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Answer:

See attached image for the drawing of the first four trees (circled in green)

The patterns is:

x = 2+3n  and  y= 3+2n

Position of 7th tree is: (20,15) (circled in orange in the image)

Step-by-step explanation:

Starting at the location (2,3) the next x and y positions are given by:

x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,

and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration

being n= 1 through 6 (to account for the next 6 trees that need to be planted)

With such pattern, the location of the seventh tree would be:

x = 2 + 3*6 =2 + 18 = 20

y = 3 + 2*6 = 3 + 12 = 15

That is, the point (20,15) on the plane.

Also see attached image.

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3 years ago
Given the function below, select all the equalities select all that are true.
torisob [31]

Answer:

A is true

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5 0
4 years ago
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

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y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

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The first part is 1325

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3 years ago
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