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telo118 [61]
3 years ago
5

There are $400$ pages in Sheila's favorite book. The average number of words per page in the book is $300$. If she types at an a

verage rate of $40$ words per minute, how many hours will it take to type the $400$ pages of the book?
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

50hours

Step-by-step explanation:

Given that there are 400 pages in Sheila's favorite book.

The average number of words per page in the book is 300

She types an average rate of 40words per minute.

So to type 400pages of the book

Total number of words in the pages = 400×300 = 120000 words

Typing rate : 40words ------- 1minute

120000 words ----------- x minutes

Hence we have 40 × X mins = 120000 × 1min

Make X the subject

40X = 120000minutes

X = 120000/40

X = 3000minutes

Since 60minutes = 1hour

3000minutes = 3000minutes/60

= 50hours

Hence it took her 50hours to type 400pages

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To find the domain, solve the inequality 4 - x > 0. x < 4. Thus, all numbers less than or equal to 4 represent the domain for this function. When trying to find the domain and range from a graph, the domain is found by looking at the graph from left to right.


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3 years ago
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or
S_A_V [24]

Using the expected value, it is found that a price of $6 should be charged to make it a fair game.

--------------------------

  • The game is fair if the <u>expected value is 0</u>.
  • The expected value is given by <u>each outcome multiplied by it's probability</u>.
  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

  • In a standard deck, there are 52 cards.
  • The cost of x.

  • There are 4 Aces in a standard deck, thus \frac{4}{52} probability of earning 26 - x.
  • There is 1 King of Hearts in a standard deck, thus \frac{1}{52} probability of earning 204 - x.
  • There are 4 Jacks and 4 Queens in a standard deck, thus \frac{8}{52} probability of winning 13 - x.
  • The other 39 cards you lose, thus \frac{39}{52} probability of losing x.

Considering we want the expected value to be 0.

\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0

\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0

104 - 4x + 204 - x + 104 - 8x - 39x = 0

52x = 312

x = \frac{312}{52}

x = 6

$6 should be charged.

A similar problem is given at brainly.com/question/24905256

3 0
3 years ago
When full, a fuel tank holds 175 gallons of fuel. How many gallons of fuel are in the tank when it is 40% full?
gtnhenbr [62]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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It's the logique <br>show that for all x &gt;0​
gulaghasi [49]

Answer:

  • See below

Step-by-step explanation:

We can show that for x = 0, both sides of the inequality get the value of 1.

With x > 0, the left side goes towards - ∞ with the negative slope and the right side is always positive.

I'll give a graphical solution.

Hope this helps.

8 0
2 years ago
Find the equation of the line graphed below. Write the equation in the form y = mx + b and identify m and b m = b =
Alla [95]

ANSWER:

m = -3/4

b = -3

y=-\frac{3}{4}x-3

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

We calculate the slope as follows:

m=\frac{y_2-y_1}{x_2-x_1}

To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:

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Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:

y=-\frac{3}{4}x-3

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1 year ago
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