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Firlakuza [10]
3 years ago
6

How does dividing mixed numbers compare with dividing fractions?​

Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0
Mixed numbers are basically sometimes a sign of division. You need to turn the mixed number into an improper fraction.

Steps:

Multiply the whole number by the denominator of the fraction and then add that product to the numerator. Leave the denominator as it is before.

Example:

2 1/4

2x4=8

8+1= 9

Answer: 9/4

Then you can divide!
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Question Number 2!! Thank youu
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Marco is playing a game with a standard deck of cards. The first person to select a heart from the deck without looking wins. Wh
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What is the theoretical probability that Marco will choose a card with a heart on it?  It will be 1/4

What is the theoretical probability that Marco will choose a card without a heart on it?  the answer to this is 3/4

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3 years ago
Determine whether the function
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The right answer is even
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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
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