3.81 as a mixed number

Answers

Answer 1

Answer: In a mixed number, there is a whole number representing the complete parts and a fraction representing the fracitonal part. The whole number remains the same as in a decimal, so that will be 3. Next, the fraction will be 81/100, which can not be simplified any further. Thus, as a mixed number, 3.81 is 3 81/100.Hope this helps. Let me know if you need additional help!

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Two friends take a drive around the city. When they get home, they look at the odometer and their watches, and determine they traveled 54 miles in 72 minutes. What was their average speed in miles per hour?

You read 9.759.75 pages in your science book and 24.524.5 pages of a play for English class. It takes you 1.21.2 minutes to read each page of science and 0.80.8 of a minute to read each page of the play. How much time do you spend reading?

Answers

Answer: You spent 31.39 minutes reading.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given ( you write the numbers doubled, 9.759.75 is 9.75)

If you read 9.759.75 pages in your science book and it takes you 1.2 minutes to read each page, we simply have to multiply the numbers of pages by the time spent for each page.

9.75 pages x 1.21 minutes = 11.79 minutes

We do the same thing for the play:

24.5 pages x 0.8minutes = 19.6 minutes

Finally, we sum both results:

11.79 m + 19.6 m =31.39

You spent 31.39 minutes reading.

Which expressions result in a positive number? Choose all answers that are correct.

A.

B.
–5 – (–5.1)

C.
14 • (–3)

D.
3 + (–7)

Answers

Expression B results in a positive number

Cheerios

Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.

Answers

Answer:

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Step-by-step explanation:

We know that,

The parent function is $g(x)=|x|$ .

Now, g(x) is transformed to the function $f(x)=|x-1|-2$ .

That is, we see that,

g(x) is translated 1 unit to the right, which gives $|x-1|$ and then it is translated 2 unit downwards, which gives f(x).

So, we get,

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Final answer:

The function ƒ(x) = |x - 1| - 2 has two transformations. It has a horizontal shift to the right by 1 unit and a vertical shift down by 2 units.

Explanation:

The function ƒ(x) = |x - 1| - 2 is a transformation of the basic absolute value function which is |x|. This function is undergoing a shift. Specifically, it is encountering two types of transformation. The |x - 1| part implies the graph of the function is shifted to the right by 1 unit. And the -2 at the end of the function suggests that the graph is shifted downwards by 2 units. Thus, the function ƒ(x) = |x - 1| - 2 illustrates a horizontal shift to the right by 1 unit and a vertical shift downwards by 2 units.

Learn more about Function Transformation here:

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PLSSSSSSSSSSS HEEEEEELP????The mean of a set of normally distributed data is 600 with a standard deviation of 20. What percent of the data is between 580 and 620?

Answers

Answer:

The percentage of the data between 580 and 620 is 68.26 %

Step-by-step explanation:

Given,

Mean, $\mu$ = 600,

Standard deviation, $\sigma$ = 20,

Using the equation,

$z-score=(x-\mu)/(\sigma)$

Z-score for the data 580 = $(580-600)/(20)$

$=(-20)/(20)$

$=-1$

While, the z-score for the data 620 = $(620-600)/(20)$

$=(20)/(20)$

$=1$

Using normal distribution table,

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

Hence, the percent of the data is between 580 and 620 = P(620 > z) - P(580 < z)

= 0.8413 - 0.1587

= 0.6826

= 68.26 %

z = (X-Mean)/SD
z1 = (580-600)/20 = - 1
z2 = (620-600)/20 = + 1
According to the Empirical Rule 68-95-99.7
Mean +/- 1*SD covers 68% of the values
Therefore, required percent is 68%
hopes this help :) :D :)

What is the value of x log3 x=4

Answers

Answer:

x=81

Step-by-step explanation:

Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.

Rewrite the equation as x=3^4

Raise 3 to the power of 4

x=81

Emerson made 408 homemade dog treats to sell at a local pet store. She puts 24 treats in each bag and sells the bags for $7 each. How much money will Emerson makes if she sells all of the treat bags?

Answers

The amount of money that Emerson makes if she sells all of the treat bags will be $119.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Emerson made 408 hand-crafted canine treats to sell at a nearby pet store. She places 24 treats in each pack and sells the sacks for $7 each.

The number of the treats will be given as,

⇒ 408 / 24

⇒ 17

Then the amount of money that she earns will be given as,

⇒ $7 x 17

⇒ $119

The amount of money that Emerson makes if she sells all of the treat bags will be $119.

More about the Algebra link is given below.

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Answer:

emerson will have $119 after selling all the bags.