A garden table and a bench cost $786 combined. The garden table costs $36 more than the bench. What is the cost of the bench?

Based on the calculations, the number of diapers which can be bought with $36 is equal to $4.

Given the following data:

In order to determine the number of diapers that can be bought with $36, we would set up a direct proportion equation as follows:

$9 = 1 diaper

$36 = X diapers.

Cross-multiplying, we have:

9X = 1 × 36

9X = 36

X = 36/9

X = $4.

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The number of possible combinations of playing one pinball game and one video game, given there are 3 pinball machines and 5 video games available, is 15.

The subject of this question is combinatorics, a part of Mathematics that deals with combination and arrangement of objects. The question in essence is asking about the number of combinations one can play on a pinball machine and a video game in an arcade.

In the given context, there are 3 pinball machines and 5 video games. If a person wants to play one of each (one pinball game and one video game), we can calculate the number of combinations by simply multiplying the number of options for each game. That is, 3 pinball machines multiplied by 5 video games equals 15 different combinations.

So, there are 15 different combinations of games a person can play when selecting one pinball and one video game from the given sets.

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The change in area will be such that it will increase by 1.605 or 1.25%.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

The area of a square with diagonal x is given as x²/2.

Area with diagonal 16 cm ⇒ 16²/2 = 128 cm²
Area with diagonal 16.1 cm ⇒ 16.1²/2 = 129.605 cm²

Change of area = 129.605 - 128 = 1.605 cm².

Percentage change = 1.605/128 x 100 = 1.25%.

Hence "The change in area will be such that it will increase by 1.605 or 1.25%".

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It takes approximately 12.47 minutes for light from the Sun to reach the Earth.

To find out how many minutes it takes for light from the Sun to reach the Earth, we can divide the distance from the Earth to the Sun by the distance light travels in 1 minute.

First, let's convert the distance from miles to kilometers. 1 mile is approximately 1.60934 kilometers, so the distance from the Earth to the Sun is approximately 1.496 × 108 kilometers.

Now, we divide this distance by the distance light travels in 1 minute: 1.496 × 108 kilometers / 1.2 × 107 kilometers per minute = 12.47 minutes.

Therefore, it takes approximately 12.47 minutes for light from the Sun to reach the Earth.

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Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     2*x^2-3*x-(2)=0 

 2.1     Factoring  2x2-3x-2 

The first term is,  2x2  its coefficient is  2 .
The middle term is,  -3x  its coefficient is  -3 .
The last term, "the constant", is  -2 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4 

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1 
                     2x2 - 4x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    2x • (x-2)
              Add up the last 2 terms, pulling out common factors :
                     1 • (x-2)
Step-5 : Add up the four terms of step 4 :
                    (2x+1)  •  (x-2)
             Which is the desired factorization

Answer:

Second set.

Step-by-step explanation:

I put the formula of standart deviation in the image below.

x is each data of the list

μ is the data average

N is the amount of elements.

So, for the first list we have:

μ= [tex]\frac{28995+37534+31361+27087+20966+37741}{6}= \frac{183684}{6}=30614[/tex]

DE= [tex]\sqrt{\frac{|28995-30614|^{2}+|37534-30614|^{2}+|31361-30614|^{2}+|27087-30614|^{2}+|20966-30614|^{2}+|37741-30614|^{2}}{6} }[/tex]

= [tex]\sqrt{\frac{2621161+47886400+558009+12439729+93083904+50794129}{6} }[/tex]

= [tex]\sqrt{\frac{207383332}{6} }[/tex]

=  [tex]\sqrt{ 34563888.6667 }[/tex]

= 5879.1061.

For the other list of elements:

μ= [tex]\frac{72964+70763+101510+62161+66625+54339}{6}= \frac{428362}{6}=71393.66[/tex]

DE=[tex]\sqrt{\frac{|72964-71393.66|^{2}+|70763-71393.66|^{2}+|101510-71393.66|^{2}+|62161-71393.66|^{2}+|66625-71393.66|^{2}+|54339-71393.66|^{2}}{6} }[/tex]

= [tex]\sqrt{\frac{2465967.71+397732.03+906993934.99+85242010.67+22740118.19+290861427.71}{6} }[/tex]

= [tex]\sqrt{\frac{1308701191.3}{6} }[/tex]

=  [tex]\sqrt{218116865.21 }[/tex]

= 6029.32

Then, the second set is more variable.

Answer:

The answer is A) 6 square yards.

Answer:

  →Weight of First book

                                      [tex]=2\frac{7}{16}\\\\=\frac{39}{16}[/tex]

→ Weight of Second book

                                      [tex]=1\frac{7}{8}\\\\=\frac{15}{8}[/tex]

→Weight of Third book

                                      [tex]=\frac{1}{2}[/tex]

→Total weight of three books

                         [tex]=\frac{39}{16}+\frac{15}{8}+\frac{1}{2}\\\\=\frac{39+30+8}{16}\\\\=\frac{77}{16}\\\\=4\frac{13}{16}[/tex]

→Maximum Weight of 3 books that Gina Can Ship =6 Pounds

  [tex]\rightarrow 6 >4\frac{13}{16}[/tex]

Yes, Gina Can ship all 3 Books.