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Andrew [12]
3 years ago
8

Latasha can read 30 pages of economics in an hour. She can also read 20 pages of sociology in an hour. She spends 4 hours per da

y studying. Her opportunity cost of reading 10 pages of sociology is ___ pages of economics. Her opportunity cost of reading 18 pages of economics is ____ pages of sociology. Enter whole numbers.
Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics

Her opportunity cost of reading 18 pages of economics is 12 pages of sociology.

Step-by-step explanation:

For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)

Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)

To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.

In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins).

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If the ratio of two numbers is 5:2, what is the ratio of their sum to their difference?
Kipish [7]

Answer:

7/3

Step-by-step explanation:

Let the two numbers be x and y which are relatively prime to each other.

a/b = 5/2

So you want the ratio of

(a + b) / (a - b)

  • Take out a common factor of b
  • numerator:  b(a/b + 1)
  • denominator: b(a/b - 1)
  • Put them together
  • The b's cancel out
  • (a/b + 1) / (a/b - 1)
  • but a/b = 5/2
  • (5/2 + 1) / (5/2 - 1)
  • Numerator:  (5/2 + 2/2) = 7/2
  • Denominator: 5/2 - 2/2 = 3/2
  • numerator over denominator = 7/2 // 3/2 = 7/2 * 2/3 = 7/3

Answer: 7/3

Nice problem: Thanks for posting.

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3 years ago
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Because it is between 270 and 360, sin is negative, so it is -sqrt2/2.

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The product of 2 and a number increased by 8 is -48
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Resources / Answers / a product of a number and...
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a product of a number and -2 increased by 8 is -4. what is the number?
a product of a number and -2 increased by 8 is -4. what is the number?
10/14/2014 | Alvin from Plano, TX | 1 Answer | 0 Votes
Geometry
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1 ANSWER

Nathan B.
Sacramento, CA
0
0
A product means multiplication, so...

(x * -2) +8 = -4
-2x + 8 = -4

To isolate the x, we have a couple of different ways, but the easier for now would be to start off by moving the 8 to the other side via subtracting both sides by 8:
-2x + 8 - 8 = -4 - 8
-2x = -12

Next, we divide both sides by -2
-2x / -2 = -12 / -2
x = 6
7 0
3 years ago
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Given that f(x)=x^2-3x-54 and g(x)=x+6, find (f•g)(x) and express the result in standard form
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Answer:

׳+3ײ-72×-324

Step-by-step explanation:

I hope it help

7 0
2 years ago
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