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enot [183]
3 years ago
7

Biologists want to know how many fish are in a certain lake. On January 1, they removed 430 fish from the lake and tagged them.

On February 1, they returned to the lake and collected a random sample of 310 fish, of which 100 had been previously tagged. Based on this experiment, approximately how many fish are in the lake?
Mathematics
1 answer:
irina [24]3 years ago
6 0
The answer is 640 fish
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A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

6 0
3 years ago
Use two unit multipliers to convert 628 kilometers to centimeters
irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

\frac{628 km}{1}

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

\frac{628 km}{1} \times \frac{1000m}{1km}

Now the km's will cancel:

\frac{628}{1} \times \frac{1000m}{1}

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

\frac{100cm}{1m}

\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}

We cancel the m's and we end up with:

628 \times 1000 \times 100 cm

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0
3 years ago
George the Pigeon travels the same distance of 72 miles
NNADVOKAT [17]

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = u miles/hr

Let the speed of air = v miles/hr

Distance traveled = 72 miles

Relative speed against the wind = (u-v) miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = (u+v) miles/hr

Time taken against the wind = 3 hours

Using the formula:

Speed = \dfrac{Distance}{Time}

u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)

u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)

Adding (1) and (2):

2u=42\\\Rightarrow u = 21\ miles/hr

By equation (1):

v = 21-18\\\Rightarrow v = 3\ miles/hr

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

8 0
2 years ago
What can you say about the unknowns in the equation x+22=y+32
Llana [10]

Answer:

x = y + 10

y = x -10

Step-by-step explanation:

<u>For x:</u>

Given: x + 22 = y + 32

Subtract 22 from both sides: x = y + 32 - 22

Answer: x = y + 10

<u>For y:</u>

Given: x + 22 = y + 32

Subtract 32 from both sides: x + 22 - 32 = y

Answer: y = x -10

I think this is what you are asking for?  If not lemme know, have a nice day! :D

(also, this is my 300th answer hehehehe)

6 0
3 years ago
Gregory has $50. He earned
Katena32 [7]

Answer:

are you asking how much he saved? i'm confused.

because if he earned 20 by saving and 5 from his tooth - that's only 25$!

where did the other 25 come from??? was it from his savings?

7 0
2 years ago
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