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Svet_ta [14]
3 years ago
15

Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake.

The next day he catches 10 fish of which four are marked. Estimate the number of fish in the lake.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

50

Step-by-step explanation:

The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.

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Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
2 years ago
Urgent help please
rosijanka [135]

Let's assume the frequency of sound be f and wave length is w.

Given that, the frequency of sound varies inversely as the wavelength.

So, we can set up an equation as following:

f*w = k Where k= constant of variation.

Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.

So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.

276 * 1.2 = k

So, k = 331.2

Next step is to plug in k = 331.2 in the above equation. So,

f * w = 331.2

Now we need to find the wave length : w when frequency : f = 600.

Therefore,

600 * w = 331.2

w = \frac{331.2}{600}

So, w = 0.552

Hence, the wave length is 0.552 m.

Hope this helps you!.

5 0
2 years ago
What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
3 years ago
Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of
hodyreva [135]

Answer:

Melanie can translate the figure, rotate the figure, or reflect the figure. The figure would still be congruent.

Step-by-step explanation:

Hope that helps.... sorry if it doesn't..

5 0
2 years ago
You want to fit all of your lip glosses in _3
Sedaia [141]

Answer:

uwiouwj22nnjj n2k2k2km n2n2j2j2j2jn2n2 2 2 2 2n2j2j2n2n2 2 2 3 3n2j2j2n3n<u> </u><u>n</u><u>3</u><u>j</u><u>3</u><u>n</u><u>3</u><u>n</u><u>3</u><u>n</u><u>3</u><u> </u><u>3</u>

6 0
3 years ago
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