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professor190 [17]
4 years ago
15

Jack typed 80 words per minute when he enrolled in a typing course. His typing speed increased by 3% two weeks into the course.

At the end of the course, Jack was able to type his entire 1, 680 word document In 20 minutes. What was the percent of increase in his typing speed from the beginning of the course to the end? a 3% b 4% c 5% d 6% e 7%
Mathematics
1 answer:
katrin [286]4 years ago
3 0

Answer:

The answer is option C : 5%.

Step-by-step explanation:

Jack typed 80 words per minute when he enrolled in a typing course.

His typing speed increased by 3% two weeks into the course.

At the end of the course, Jack was able to type his entire 1, 680 word document In 20 minutes.

Hence, the percent of increase in his typing speed from the beginning of the course to the end is given by:

1680/20=84

(84-80)/80 =5%

Therefore, the answer is option C : 5%.

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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)

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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>

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

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

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-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
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