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musickatia [10]
3 years ago
6

Subtract 6 1/4 - 3 5/8 what is it ???

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

21/8

Step-by-step explanation:

Simplify the following:

6 + 1/4 - (3 + 5/8)

Put 3 + 5/8 over the common denominator 8. 3 + 5/8 = (8×3)/8 + 5/8:

6 + 1/4 - (8×3)/8 + 5/8

8×3 = 24:

6 + 1/4 - (24/8 + 5/8)

24/8 + 5/8 = (24 + 5)/8:

6 + 1/4 - (24 + 5)/8

24 + 5 = 29:

6 + 1/4 - 29/8

Put 6 + 1/4 - 29/8 over the common denominator 8. 6 + 1/4 - 29/8 = (8×6)/8 + 2/8 - 29/8:

(8×6)/8 + 2/8 - 29/8

8×6 = 48:

48/8 + 2/8 - 29/8

48/8 + 2/8 - 29/8 = (48 + 2 - 29)/8:

(48 + 2 - 29)/8

| 1 |  

| 4 | 8

+ | | 2

| 5 | 0:

(50 - 29)/8

| 4 | 10

| 5 | 0

- | 2 | 9

| 2 | 1:

Answer:  21/8

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
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a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

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c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

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