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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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Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Fantom [35]

Answer:

Option B is correct

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + b

where m is the slope and b is y-intercept

Let’s evaluate the options one after the other;

A. This is wrong as they both have same slope of 2

C. The y-intercepts are not the same

One is 5, the other is -3

D. This is wrong, the line cannot be the same

Option B is correct

The y-intercept of both varies

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3 0
3 years ago
What is the equation of the line? Please help
pentagon [3]
The second one 1/2x+2
3 0
3 years ago
A music website tracked the number of new users per day over 1 week. The number of new users for each day of the 7 days was 38,
enyata [817]
Part a)

MAD = median of absolute deviations

MAD = median of the set formed by : |each value - Median|

Then, first you have to find the median of the original set

The original set is (<span>38, 43, 45, 50, 51, 56, 67)


The median is the value of the middle (when the set is sorte). This is 50.


Now calculate the absolute deviation of each data from the median of the data.

1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17

Now arrange the asolute deviations in order

(0, 1, 5, 6, 7, 12, 17)

The median is the value of the middle: 6.

Then the MAD is 6.

Part b) MAD represents the median of the of the absolute deviations from the median of the data.


</span> 
3 0
3 years ago
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Use the Binomial Theorem to expand (3n+4m)8. What is the coefficient of the fifth term, when written in standard form?
professor190 [17]

Binom Formula \displaystyle (a+b)^n=\displaystyle \sum^{n}_{k=0}C^k_na^{n-k}b^k


where a=3n;~~ b=4m and we find the coefficient of the fifth term.


C^4_8(3n)^{8-4}(4m)^4=\dfrac{8!}{4!4!}\cdot 3^4\cdot n^4\cdot 4^4\cdot m^4=12^4\cdot70m^4n^4


coefficient is equal to 70\cdot 12^4=1451520

5 0
3 years ago
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