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Liono4ka [1.6K]
3 years ago
5

Decompose fraction 11/5

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0
Hi there, bascially decompose means two fractions that add up to 11/5. There are alot of ways to decompose 11/5 so I am only giving 3 ways to decompose 11/5. The first way is 10/5+1/5, the second way is 9/5+2/5, and the third way is 6/5+5/5
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Jos has read 140 pages of his 300 page book what percent of the book has he read?
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If Jos read 140 pages of a 300 page book he/she read 46.6% of the book
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3 years ago
the circumference of a circle is 11pi inches. what is the area, in square inches, of the circle? express in terms of pi.
zmey [24]
Circumference = 2 * pi * r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2*pi*radius. Divide both sides by 2pi and you get r is = to 5.5 inches.

Area of a circle is pi*r^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches * 5.5 inches * pi or 30.25 pi inches squared.
8 0
2 years ago
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Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

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6 0
2 years ago
Simplify this expression, you are y years old. Your sister is 3 years older than you. Your uncle is 4 times older than your sist
uysha [10]

Answer:The simplified expression that represents the uncle's age is

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Step-by-step explanation:

Let y represent your age.

Your sister is 3 years older than you. This means that your sister's age is y + 3

Your uncle is 4 times older than your sister. It means that the age of your uncle would be

4(y + 3)

The simplified expression that represents your uncle's age would be

4y + 12

8 0
3 years ago
A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been travelin
exis [7]

Answer:

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time = 1,701.4925373134 seconds

time = 28.36 minutes

 

Step-by-step explanation:

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