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victus00 [196]
3 years ago
13

Jon caught four fish that weighed a total of 252 pounds.The kingfish weighed twice as much as the amberjack and the white marlin

weighed twice as much as the kingfish.The weight of the tarpon was 5 times the weight of the amberjack.How much did each fish weigh?
Mathematics
2 answers:
fenix001 [56]3 years ago
8 0
1 Amberjack 
Kingfish equals 2 Amberjacks
Marlin equals 2 Kingfish or 4 Amberjacks
Tarpon equals 5 AmberJacks

So:
1A plus 2A plus 4A plus 5A equals the 252.
(where A is weight of the AmberJack).

Therefore:
12A equals 252, and A is 21. (252/12 = 21)

Then:
The Amberjack is 21Ibs.
The Kingfish (twice as much as A) is 42Ibs.
The Marlin (four times A) is 84Ibs.
And the Tarpon (five times A) is 105Ibs. 

To Check:
21 + 42 + 84 + 105 = 252
Mazyrski [523]3 years ago
6 0

Answer:

The kingfish weighed 72 pounds, the amberjack weighed 36 pounds, the white marline weighed 144 pounds and the tarpon weighed 180 pounds.

Step-by-step explanation:

The following fish were caught:

Kingfish, amberjack and white marlin

Let a=pounds of kingfish, b=pounds of amberjack and c=pounds of white marlin and let d=pounds of tarpin

From the information we know that a=2*b, c=2*a, d=5*b

Let y= the total weighed fish = a+b+c = 252  

Therefore we can write y in terms of a:

y=252=a+a/2+2*a

we can solve a which is:

a=252/3.5=72

we can solve b as b=a/2=72/2=36 and therefore c=2*a=72*2=144 and d=5*b=5*36=180

So then y= a+b+c =  72+36+144 = 252 pounds of fish

The kingfish weighed 72 pounds, the amberjack weighed 36 pounds, the white marline weighed 144 pounds and the tarpon weighed 180 pounds.

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iris [78.8K]

Answer:

D

Step-by-step explanation:

For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!

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3 years ago
I need the volume for 9,11,and 13
mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is \pi r^{2} \frac{h}{3}.

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

\pi 8.8^{2} \frac{23.4}{3}

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

3.14 * 77.44 * 7.8

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is a = \frac{1}{2} h(b_{1} +b_{2} )

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

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Add 10 and 34, then multiply it by 24.7 and 1/2.

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Now multiply that by \frac{\sqrt{3} }{4} to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

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Multiply the numbers together to get the volume.

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Answer:

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