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AlladinOne [14]

4 years ago

11

Use long division to convert the rational number 4/9 to its equivalent decimal form. In your final answer, include all of your w

ork.

1 answer:

mamaluj [8]4 years ago

4 0

4/9=9/40=4 remainder 4 so 4.4

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There are 12 ducks swimming in a pond. if 6 have green wings and 6 have blue wings, what fraction of the ducks have green wings?

Fed [463]

Hey!

ANSWER:
6 over 12 {not simplified}
1 over 2 {simplified}

HOW TO SOLVE:
Okay, first let's make a short list of what we know based on the information provided by the problem.

Total Number of Ducks – 12

Number of Ducks With Green Wings – 6

Number of Ducks With Blue Wings – 6

Now using the information we have gathered, let's create some fractions to determine how many blue winged ducks there are out of twelve, and how many green winged ducks there are out of twelve.

Blue Winged Ducks of Total Number of Ducks:
6 over 12

Green Winged Ducks of Total Number of Ducks:
6 over 12

Now that we have our factions made up, we know know that the fraction of number of green winged ducks to total number of ducks is 6 over 12, or 1 over 2 if you'd like that fraction simplified.

Hope this helps.

— Lindsey Frazier ♥️

5 0

3 years ago

Read 2 more answers

1+1= <br><br> Love you guys lol

ch4aika [34]

Answer:

Window. Thank you so much.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

By using a Diophantine equation answer the following question. No credit will be given unless you show all your work. ll . A bou

zalisa [80]

Answer:

20 cardigans
30 pullovers

Step-by-step explanation:

Let c and p represent the numbers of cardigans and pullovers sold, respectively. Then the revenue equation is ...

31c +28p = 1460

Solving for p, we have ...

p = (1460 -31c)/28 = 52 -c +(4 -3c)/28

Now, define ...

a = (4 -3c)/28

and solve for c:

(4-28a)/3 = c = 1 -9a +(1 -a)/3

At this point, we can define ...

b = (1 -a)/3

Working backward, we can find c and p.

a = 1 -3b

c = 1 -9a +b = 1 -9(1 -3b) +b = -8 +28b

p = 52 -c +a = 52 -(-8 +28b) +(1 -3b) = 61 -31b

That is, for some integer b, solutions to the equation will be ...

c = 28b -8

p = 61 -31b

The only value of b that gives positive solutions for both c and p is b=1. For that value of b, we have ...

c = 20, p = 30

The boutique owner sold 20 cardigans and 30 pullovers.

_____

<em>Comment on the solution</em>

This is a variation of the Extended Euclidean Algorithm. Here, we have defined intermediate variables (a and b) that might not show up in a tableau solution form.

6 0

4 years ago

Solve: 3/8[-8 + 16 - (-2 and 1/2)]

Aliun [14]

Answer:

63/16 or 3 15/16.

Step-by-step explanation:

Solve: 3/8[-8 + 16 - (-2 and 1/2)] Using order of operations (PEMDAS):

=3/8[-8 + 16 - (-2.5)]

= 3/8( 8 + 2.5)

= 3/8(10.5)

= 31.5/8

= 63/16.

7 0

3 years ago

The z-score tells you how many standard deviations about the mean a given data value is. Find the z-score in this situation:

Bas_tet [7]

Answer:

Z-score = -1.38

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

$Z =\frac{X-\mu}{\sigma}$

Where

μ is the mean, x is a data of the population and $\sigma$ is the standard deviation

In this case

$\mu = 15\ g\\\\\sigma = 1.6\ g\\\\X = 17.2\ g$

Then the z-score is

$Z = \frac{15-17.2}{1.6}\\\\Z = -1.38$

6 0

4 years ago