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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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3 years ago
Divide. HELP ASAP PLEASE!!
VashaNatasha [74]

Answer:

The answer to your question is below

Step-by-step explanation:

a)                             \frac{s^{2}- 3s - 28 }{s - 7}

Factor the numerator is a polynomial of the form    x² + bx + c

                                              s² - 3s - 28 = (s - 7)( s + 4)

Substitute

                               \frac{(s - 7)(s + 4)}{(s - 7)}

Simplify like terms

Result                                               s + 4

b)                          \frac{c^{2} + 5c - 24}{c + 8}

Factor the numerator is a polynomial of the form x² + bx + c

                                           c² + 5c - 24 = (c + 8)(c - 3)

Substitute

                                          \frac{(c + 8)(c - 3)}{c + 8}

Simplify like terms                            c - 3

Result                                                c - 3

                                         

3 0
3 years ago
5(t - 3) -2t = -30 what is the answer?
maxonik [38]

Answer:

t = -5

Step-by-step explanation:

Solve for t:

5 (t - 3) - 2 t = -30

Hint: | Distribute 5 over t - 3.

5 (t - 3) = 5 t - 15:

5 t - 15 - 2 t = -30

Hint: | Group like terms in 5 t - 2 t - 15.

Grouping like terms, 5 t - 2 t - 15 = (5 t - 2 t) - 15:

(5 t - 2 t) - 15 = -30

Hint: | Combine like terms in 5 t - 2 t.

5 t - 2 t = 3 t:

3 t - 15 = -30

Hint: | Isolate terms with t to the left hand side.

Add 15 to both sides:

3 t + (15 - 15) = 15 - 30

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

3 t = 15 - 30

Hint: | Evaluate 15 - 30.

15 - 30 = -15:

3 t = -15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 t = -15 by 3:

(3 t)/3 = (-15)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

t = (-15)/3

Hint: | Reduce (-15)/3 to lowest terms. Start by finding the GCD of -15 and 3.

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer: t = -5

5 0
3 years ago
Read 2 more answers
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