Let the two numbers be y and also x, thenxy = 192y = 192/xdy/dx = -192/x^-2 . . . (1)Sum (S) = y + 3xIf the amount is minimum, thendS/dx = dy/dx + 3 = 0dy/dx = -3From (1), -192/x^2 = -33x^2 = 192x^2 = 192/3 = 64x = sqrt(64) = 8y = 192/8 = 24The two positive numbers are 8 and also 24.

You are watching: Find two positive numbers such that their product is 192 and the sum of the first



Joni has a one garden v a diameter of 16.5. If she offers 2 teaspoons that fertilizer for every 25 square feet that garden how

stclairdrake.net:

17.106 Teaspoons of fertilizer

Step-by-step explanation:

Joni has actually a circular garden with a diameter the 16.5. If she supplies 2 teaspoons the fertilizer because that every 25 square feet the garden how plenty of teaspoons the fertilizer will Joni require for her whole garden?

Step 1

We calculate the area of the garden.

The garden is circular in shape.

Area of a circle = πr²

r = radius = Diameter/2

Diameter = 16.5 ft

r = 16.5/2

r = 8.25 ft

Area the the circle = π × 8.25²

Area of the circle (Garden) = 213.82464998 ft²

Approximately = 212.825ft²

Step 2

If she provides 2 teaspoons of fertilizer because that every 25 square feet the garden how countless teaspoons the fertilizer will Joni need for her whole garden?

25 ft² = 2 teaspoons that fertilizer

212.825ft² = x

Cross Multiply

25 ft² × x = 212.825ft² × 2

x = 213.825× 2/25 ft²

x = 17.106 Teaspoons the fertilizer


3 0
4 month ago

lauren count 27 college student in the cafeteria the proportion of students the packed your lunch to those that bought having lunch was 4:5 just how
Nadstclairdrake.net <2.5K>
27 student is basically the sum of their ratios 4:5We can define the proportion through an arbitary change x ->4x:5xWhich is the ratio of pack to bought lunch. Therefore, 4x + 5x = 9x. 9x =27x=3The students the bought their lunch to be the 5x group, therefore 15 students purchase lunch.
8 0
9 month ago

Jake thinks that a rhombus is not always a parallelogram.Is jake correct?
OverLord2011 <107>

stclairdrake.net:

No, a rhombus is a quadrilateral, with 4 equal-length sides and opposite political parties parallel to every other. Every rhombuses room parallelograms, yet not all parallelograms space rhombuses. The opposite interior angles the rhombuses are always congruent. A parallel is simply a 4 sided closed form where the contrary sides are parallel.

I hope this helps!


8 0
6 months ago

What room some points to display that two polygons space not scaled duplicates of eachother?
Pepsi <2>

Del taco is your correct stclairdrake.net. Squaaaaad


5 0
8 months ago

After 4,000 gallons the water were added to a huge water tank that was currently filled come 3/4 of its capacity, the tank to be then
dangina <55>

stclairdrake.net: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after including 4,000 gallons of water come a large tank the was currently filled to

*
the its capacity, the tank to be then at
*
the its capacity.

We room to find the number of gallons the water the the tank organize when filled come capacity.

Let the tank can hold x gallons the water as soon as filled to capacity.

Then, according to the given information, we have

*

Thus, the compelled capacity of the tank is 80,000 gallons of water.

See more: Thomas Jefferson Shot A Man On The White House Lawn, Execution On The White House Lawn

Option (E) is CORRECT.


4 0
1 year ago
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