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Veseljchak [2.6K]
4 years ago
10

Ryan set a table with a fork, knife, and spoon for each dinner guest. He used a total of 36 pieces of silverware. Which number s

entence will find how many guests were invited to Ryan's dinner?
Mathematics
1 answer:
Debora [2.8K]4 years ago
8 0

Answer:

The Number sentence 36 ÷ 3 will be used to find number of guest invited in Ryan dinner.

There were 12 guests invited to Ryan's dinner.

Step-by-step explanation:

Given:

Total Number of pieces = 36 pieces.

Also Given:

Ryan set a table with a fork, knife, and spoon for each dinner guest.

From above we can conclude that;

Number of Piece for each Dinner guest  = 3 piece.

We need to find the number of guest invited in Ryan dinner.

number of guest invited in Ryan dinner will be equal to Total Number of pieces used for guest divided by Number of Piece for each Dinner guest.

framing in equation form we get;

number of guest invited in Ryan dinner = \frac{36}{3}=12 \ guest

Hence The Number sentence 36 ÷ 3 will be used to find number of guest invited in Ryan dinner.

Also There were 12 guests invited to Ryan's dinner.

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A) complete the table (use 4 decimal places when applicable)
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Answer:

Step-by-step explanation:

(A).

No' of siblings           Frequency           Rel. frequency     Cumm. frequency

0                                     51                          0.2429                       51

1                                      37                          0.1762                        51 + 37 = 88

2                                     34                          0.1619                        122

3                                     41                         \frac{41}{169}=0.2426                163

4                                     47                           0.2238                     210

(B).

Percent of people having exactly one sibling = \frac{\text{Frequency}}{\text{Total frequency}}\times 100

                                                                           = \frac{37}{210}\times 100

                                                                           = 17.62%

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Arrange these numbers from least to greatest: 5/6, 7/9, -4/5
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-4/5, then 7/9 and last is 5/6.
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What is the area of the piece of red paper after the hole for
MakcuM [25]

Answer:

     \large\boxed{\large\boxed{47unit^2}}

Explanation:

The complete question is:

<em>A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.</em>

<em />

<em>On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).</em>

<em />

<em>What is the area of the piece of red paper after the hole for the photograph has been cut?</em>

<em />

<h2><em>Solution</em></h2>

<em />

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

<u>1. Area of the big rectangle</u>

Vertices:

  • <em>(- 4, 4) </em>
  • <em>(4, 4)</em>
  • <em>(4, -4)</em>
  • <em>(-4, -4)</em>

<em />

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

  • 4-(-4)=4+4=8

The area of this square is    (8unit)^2=64unit^2

<u>2. Area of the small square</u>

Vertices:

  • <em>(-3, -2)</em>
  • <em>(- 2, 2) </em>
  • <em>(2, 1)</em>
  • <em>(1, -3)</em>

<em />

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

      d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}

The area is:

          (\sqrt{17}unit)^2}=17unit^2

<u>3. Area of the piece of red paper after the holw for the photograph has been cut:</u>

<u />

Find the difference:

<u />

         64unit^2-17unit^2=47unit^2

<em />

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4 years ago
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