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siniylev [52]
3 years ago
15

Find the LCM and HCF of 540 and 792.​

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Your LCM is 11880 , and your HCF is 36
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A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are
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The probability is 25% because the deck is divided into 4 parts which makes it 25% probability of choosing a club or a heart.
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3 years ago
Pls help plssss <br> 105 + 75 ÷ 5 + 50<br> a = 80<br> b= 140 <br> c= 150<br> d= 70
Sedaia [141]

Answer:

170

Step-by-step explanation:

105 + 75 ÷ 5 + 50

= 105 + 15 + 50

= 120 + 50

= 170

=》None of the options are correct.

Hope it helps ⚜

7 0
2 years ago
A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

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3 years ago
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3 years ago
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Solve the equation and check the solution.
777dan777 [17]

Answer:

a = 4

Step-by-step explanation:

Here, we want to write and solve the given equation

a - 2.5 = 1.5

a = 2.5 + 1.5

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To check, we simply substitute a = 4

That would be;

4-2.5 = 1.5

This is correct

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3 years ago
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