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mamaluj [8]
3 years ago
7

If the first chapter of a certain book is 40 pages long and makes up 20% of the book, how many pages does the entire book have?

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

200

Step-by-step explanation:

20% of a book = 40 pages

100% of a book = x pages

20/100 = 40/x                Cross multiply

20x = 100*40                 Combine the right

20x = 4000                    Divide by 20

20x/20 = 4000/20         Do the division

x = 200                           Answer

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steposvetlana [31]

D is the correct answer.

7 0
3 years ago
What is the sum?<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%2B%20%20%5Cfrac%7
shutvik [7]

Answer:

6/x^2

Step-by-step explanation:

Simplify the following:

2/x^2 + 4/x^2

2/x^2 + 4/x^2 = (2 + 4)/x^2:

(2 + 4)/x^2

2 + 4 = 6:

Answer: 6/x^2

8 0
3 years ago
Read 2 more answers
Please help and show how you got the answer:
kari74 [83]

4 - 6n = 60 - 2n   <em>subtract 4 from both sides</em>

-6n = 56 - 2n    <em>add 2n to both sides</em>

-4n = 56    <em>divide both sides by (-4)</em>

n = - 14


-7 + 11p = 3p - 47       <em>add 7 to both sides</em>

11p = 3p - 40      <em>subtract 3p from both sides</em>

8p = -40      <em>divide both sides by 8</em>

p = - 5


3a - 28 - 7a = 10a          <em>combine like terms</em>

(3a - 7a) - 28 = 10a

-4a - 28 = 10a       <em>add 28 to both sides</em>

-4a = 10a + 28       <em>subtract 10 from both sides</em>

-14a = 28     <em>divide both sides by (-14)</em>

a = - 2


17 - 5r + 9r = 12 + 6r - 1       <em>combine like terms</em>

17 + (-5r + 9r) = (12 - 1) + 6r

17 + 4r = 11 + 6r      <em>subtract 17 from both sides</em>

4r = -6 + 6r     <em>subtract 6r from both sides</em>

-2r = -6      <em>divide both sides by (-2)</em>

r = 3


8(y - 7) = -2(y + 3)    <em>use distributive property: a(b + c) = ab + ac</em>

(8)(y) + (8)(-7) = (-2)(y) + (-2)(3)

8y - 56 = -2y - 6       <em>add 56 to both sides</em>

8y = -2y + 50     <em>add 2y to both sides</em>

10y = 50    <em>divide both sides by 10</em>

y = 5


-3(8k + 5) = 3(9 - k)      <em>use distributive property: a(b + c) = ab + ac</em>

(-3)(8k) + (-3)(5) = (3)(9) + (3)(-k)

-24k - 15 = 27 - 3k      <em>add 15 to both sides</em>

-24k = 42 - 3k      <em>add 3k to both sides</em>

-21k = 42     <em>divide both sides by (-21)</em>

k = -2


2(3v - 5) = 2(v - 11) - 4   <em>use distributive property: a(b + c) = ab + ac</em>

(2)(3v) + (2)(-5) = (2)(v) + (2)(-11) - 4

6v - 10 = 2v - 22 - 4

6v - 10 = 2v - 26      <em>add 10 to both sides</em>

6v = 2v - 16      <em>subtract 2v from both sides</em>

4v = -16      <em>divide both sides by 4</em>

v = -4


-2/3 (15x + 3) -3x - 9    <em>use distributive property: a(b + c) = ab + ac</em>

= (-2/3)(15x) + (-2/3)(3) - 3x - 9

= (-2)(5x) - 2 - 3x - 9

= -10x - 2 - 3x - 9                 <em>combine like terms</em>

= (-10x - 3x) + (-2 - 9)

= -13x - 11


3(1 - 9a) + 22a = 2(2a - 9) - 15

<em>use distributive property: a(b + c) = ab + ac</em>

(3)(1) + (3)(-9a) + 22a = (2)(2a) + (2)(-9) - 15

3 - 27a + 22a = 4a - 18 - 15          <em>combine like terms</em>

3 + (-27a + 22a) = 4a + (-18 - 15)

3 - 5a = 4a - 33      <em>subtract 3 from both sides</em>

-5a = 4a - 36       <em>subtract 4a from both sides</em>

-9a = -36      <em>divide both sides by (-9)</em>

a = 4


-3(3m - 10) - 7 = -5(m + 1) + 3m

<em>use distributive property: a(b + c) = ab + ac</em>

(-3)(3m) + (-3)(-10) - 7 = (-5)(m) + (-5)(1) + 3m

-9m + 30 - 7 = -5m - 5 + 3m           <em>combine like terms</em>

-9m + (30 - 7) = (-5m + 3m) - 5

-9m + 23 = -2m - 5     <em>subtract 23 from both sides</em>

-9m = -2m - 28        <em>add 2m to both sides</em>

-7m = -28      <em>divide both sides by (-7)</em>

m = 4

6 0
3 years ago
Equation 1: 2x - 3y = 6 Equation 2: y = 2 3 x - 6 What is the best description for the lines? A) parallel B) perpendicular C) th
umka2103 [35]
Assuming equation 2 is y = (2/3)x-6, then the answer is A) Parallel.

Solve 2x-3y = 6 for y and you'd get y = (2/3)x-2. The slope here is 2/3 as it is for equation 2 as well. The slopes are the same but y intercepts are different, so the lines are parallel. 
5 0
3 years ago
Read 2 more answers
An average stenographer can type 510words in 180seconds. Write this rate as a fraction. Simplify your answer.
Serga [27]

Answer:

17/6 or  2  5/6

Step-by-step explanation:

510 and 180 simplified is a fact, there is no explanation here to be done.

Hope this helped!

4 0
3 years ago
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