All categories

2 years ago

If you had 454g of shrimp/sq ft in a tank with an 11 sq meter bottom area, how many total kilograms of shrimp do you have?

Mathematics

1 answer:

adoni [48]2 years ago

6 0

Answer:

total weight of the shrimp = 53.7549 kg.

Step-by-step explanation:

Given,

Weight of shrimp = 454 g/sq meter

area of bottom of tank = 11 sq meter

By converting meter into ft,

1 sq meter = 10.7639 sq feet

=> 11 sq meter = 11 x 10.7639 sq ft

= 118.4029 sq feet

So, the total area of the bottom of the tank = 118.4029 sq feet

According to question,

Weight of shrimp in 1 square ft = 454 g

so, the weight of shrimp in 118.4029 sq ft = 118.4029 x 454 g

= 53754.9166 g

Since, $1\ g\ =\ 10^{-3}\ kg$

$=>\ 53754.9166\ g\ =\ 53754.9166\ g\times 10^{-3}\ kg$

= 53.7549 kg

So, the total weight of the shrimp will be 53.7549 kg.

You might be interested in

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

Plssss helpppp thankssssss

Vlad [161]

Answer:

Step-by-step explanation:

6/2 = 3

because the triangle is halved

use pythagorus 3²+4²=25

√25 = 5

so x=5

4 0

2 years ago

What is the area of this figure?

meriva

Answer:

look at the photo

...................................

8 0

2 years ago

Read 2 more answers

Their is a reservation fee of $47 and an additional hourly fee of $7.40 . The math club wants to spend less than $91.40 on renti

Margaret [11]

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

47 + 7.4x < 91.4

7.4x < 91.4 - 47

7.4x < 44.4

x < 44.4/7.4

x < 6

8 0

3 years ago

The county planning department designs a new park in the shape of a parallelogram. They put in two diagonal walkways. What would

hjlf

Answer:

yeet

hx for the thing idk

6 0

3 years ago