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4 years ago

12

Scientists researching amphibians put tags on 30 frogs in a wetland area. Later, the scientists captured 520 frogs, of which 12

had tags. To the nearest whole number, what is the best estimate for the frog population?

1 answer:

aleksklad [387]4 years ago

5 0

Answer:

I THINK THE ANSWER IS d or e

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The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de

Lena [83]

Answer:

22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

n = kad

10 = k·(120)(1/4)

10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

n = (1/3)·(200)·(1/3) = 200/9

n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

8 0

3 years ago

Write algebraically:seven times the sum of a number and three is at most 23??<br>

Lena [83]

Answer:

7 * x + 3 < 23

Step-by-step explanation:

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5 0

3 years ago

4 x - 3 = -16 8.3 x + 10 = 0

Levart [38]

Answer:

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7 0

3 years ago

someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

<u>Area of triangle ABD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

<u>Area of triangle BCD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

A little help here ^-^

vovangra [49]

I think the answer is 50

3 0

3 years ago

Read 2 more answers