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slega [8]
1 year ago
14

A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a

carp is now 1/2 how many tench were added?
Mathematics
1 answer:
ivanzaharov [21]1 year ago
6 0

Answer: 2

<u>Explanation:</u>

A pond had 60 fish but 10 were added so now the pond has 70 fish.

The probability of choosing a carp is 1/2 so \frac{1}{2} (70) = 35 are now carp.  

There were 27 carp and now there are 35 carp so 8 carp were added.

10 fish were added and 8 of them were carp so 2 of them were tench.

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Tju [1.3M]

Answer:

10*10=100

50*2=100

5*20-100

Step-by-step explanation:


3 0
2 years ago
You wanted to join a booth fair, and you are aiming to get a profit that is twice as
sashaice [31]

You wanted to join a booth fair, and you are aiming to get a profit that is twice as  your capital. Using the given information, your sample plan may be as follows:

Product                   Organic skincare products for women

Description             An organic skincare cream and soap that brightens

                                 and moisturizes your skin.

Goal                          To provide anti-aging skin for women and

                                  maintaining  their skin body.

Capital                      15000

Fixed Cost                  7000

Variable Cost             8000

Profit function            300(a) = 450a - 150a

To prove that the profit function will yield twice the capital.

This profit function: 300(y) = 450y - 150y will help achieve twice profit as your capital.

Profit function = revenue function r(y) - cost function c(y)

300(y) = 450y - 150y

where;

  • y = no of units produced and sold.
  • p = profit sold per unit

Cost function C(y) = fixed cost + (variable cost) × (amount of unit sold)

Assumption:

Cost function C(y) = 7000 + (80 × 100)

Cost function C(y) = 7000 + 8000

Cost function C(y) = 15000

Revenue function R(y) = price per revenue sold × no of sold units

R(y) = 450 × 100

R(y) = 45000

∴

Profit function = 45000 - 15000

Profit function = 30000

Therefore, can conclude that the profit function is revenue function r(y) - cost function c(y).

Hence the formula:

Profit function = revenue function r(y) - cost function c(y)   (Proved)

Learn more about Profit function here:

brainly.com/question/16866047?referrer=searchResults

8 0
1 year ago
Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac
melomori [17]
Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ b+c=20
Equation [2] ⇒ 1.50b+5c=54.50

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; b and c, that we need to solve, then this becomes a simultaneous equation problem. 

First, rearrange Equation [1] to make either b or c the subject:
b+c=20
b=20-c

Then we substitute b=20-c into Equation [2]
1.50b+5c=54.50
1.50(20-c)+5c=54.50
30-1.50c+5c=54.50
5c-1.5c=54.50-30
3.5c=24.50
c=7

Now we know the value of c which is c=7, substitute this value into b=20-c we have b=20-7=13

Answer:
Numbers of books = 13
Numbers of CDs = 7
5 0
2 years ago
A car is traveling at a constant speed of 46 miles per hour. the formula for the distance traveled at the end of t hours is d=46
jonny [76]

d = 46t

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  • Next, let's find "d" for 12 hours.

            d = 46(12)

            d =   552 miles                      (12, 552)

  • Finally, let's find "d" for 18 hours.

            d = 46(18)

           d = 828 miles                          (18, 828)    

3 0
1 year ago
What is the following difference ? 11 StartRoot 45 EndRoot minus 4 StartRoot 5 EndRoot
Inessa [10]

Answer:

29\sqrt{5}

Step-by-step explanation:

3 0
2 years ago
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