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3 years ago

Liam has 5 kg of plant food. If he uses 25 g of the food on each plant, how many plants can he feed?

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer:

He can feed 200 plants

Step-by-step explanation:

To solve this, we will follow the step below:

first, convert 25 g to kg

25 g = 25/1000 = 0.025 kg

Now using proportion to solve;

Let x be the number of food plant he can feed the plant

0.025 kg = 1

5 kg = x

cross-multiply

0.025×x = 5×1

0.025x =5

Divide both-side of the equation by 0.025

0.025x/0.025 = 5/0.025

x=200 plants

Therefore, he can feed 200 plants

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Read 2 more answers

Among all rectangles that have a perimeter of 182, find the dimensions of the one whose area is largest.

Evgen [1.6K]

Answer:

The largest rectangle of perimeter 182 is a square of side 45.5

Step-by-step explanation:

Maximization Using Derivatives

The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.

Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

$A=x.y$

And the perimeter is

$P=2x+2y$

We know the perimeter is 182, thus

$2x+2y=182$

Simplifying

$x+y=91$

Solving for y

$y=91-x$

The area is

$A=x.(91-x)=91x-x^2$

Taking the derivative:

$A'=91-2x$

Equating to 0

$91-2x=0$

Solving

$x=91/2=45.5$

Finding y

$y=91-x=45.5$

The largest rectangle of perimeter 182 is a square of side 45.5

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3 years ago

Liam has 5 kg of plant food. If he uses 25 g of the food on each plant, how many plants can he feed?​

Liam has 5 kg of plant food. If he uses 25 g of the food on each plant, how many plants can he feed?