How to add and subtract fractions with unlike denominators and mixed numbers?

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

To add and subtract fractions you must do the multiplication of the numerator of the first with the denominator of the second. Then, add or subtract the multiplication of the numerator from the second with the denominator of the first. Finally divide the result between the multiplication of the denominator of the first with the denominator of the second fraction.Annex the result.

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An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Allisa [31]

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d so for our sequence we have:

49th term = -6.5 + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5 (answer).

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3 years ago

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin

almond37 [142]

Year        GDP
y           (billion $)

1985       577

1986       577+ 3.2% of 577 = 577 * 1.032

1987       577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2

1988       577 * (1.032)^3

1989       577 * (1.032)^4

....           .... => model GDP = 577 * (1.032)^ (y - 1985)

Then, for GDP = $3.4 trillion = $3400 billion =>

3400 = 577 (1.032)^ (y - 1985)

Divide both sides by 577:

(1.032)^ (y - 1985) = 3400 / 577 = 5.892548

Apply logarith to both sides:

(y - 1985) log (1.032) = log 5.892548

=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years

=> y = 1985 + 56.3 = 2041.3

Answer: 2041

8 0

3 years ago

What is the simplified expression for 44.4°? 49 40 41 42 43

SpyIntel [72]

Answer:

$4^2$