Fifteen students were surveyed to see whether they liked the color red or blue. There were three more students who preferred blue over red. Write and solve a system of equations to find how many students preferred blue and how many preferred red.

It takes, 2, minutes to prepare one bag. If Ashley works alone, it will take her 900 bags× 2 minutes each =1800 minutes to prepare the bags.

Since there are 60 minutes in an hour, that's the same as 1800/60 which equals to 30 hours. If there are 6 people sharing Ashley's work Ashley + 5 friends the work will be finished 6 times as fast.

A team of 6 people can finish the job 30/6 which equals 5

Answer: 126 square inches

Explanation:

Trapezoid is a quadrilateral , shape with straight sides that has a pair of opposite sides parallel.

I already attached the image of trpazoid.

Now find the area of trapazoid.

We have a formula to find the area of trapezoid.

Area of trapezoid = [tex] \frac{a + b}{2} h [/tex]

where a & b are the parallel side ( here "a" represent the upper side and "b" represent the base)

h is the height of the trapezoid (always remember heigth is the perpendicular distance)

now a = 12 inches (AB)

b = 2 + 12 + 2 (CD = CE + EF + FD) = 16 inches

h = 9 (BE)

Now put all these values in the given formula

Area of trapezoid = [tex] \frac{12 + 16}{2} (9) [/tex]

= [tex] \frac{28*9}{2} [/tex]

= 14*9

Are of trapezoid = 126 sq in (3rd option is correct)

Answer:

The answer is:  B,C,D

Step-by-step explanation:

16 square yards

16 yards2

16 sq. yards

The Probability of that 'j' will not be selected by Amanda in  Fraction is [tex]\frac{7}{8}[/tex]

The Probability of that 'j' will not be selected by Amanda in  Decimal is 0.875

The Probability of that 'j' will not be selected by Amanda in  Percentage is 87.5%

What is Probability ?

Probability is a "Possibility, that deals with a Occurrence of Random event".

According to the question,

Sample Space n(s) = 8

Number of Favourable Events (Amanda will not be Select 'j' letter) = 7.

Formula to find Probability of an event = [tex]\frac{Number of Favourable Events }{Total number of events}[/tex]

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

The  Probability of Amanda will not be Select 'j' letter = [tex]\frac{7}{8}[/tex]

Hence,

In Fraction, the Probability of Amanda will not be Select 'j' letter =[tex]\frac{7}{8}[/tex]

In Decimal, the Probability of Amanda will not be Select 'j' letter = 0.875

In Percentage, the cof Amanda will not be Select 'j' letter

= [tex]\frac{7}{8}[/tex] × 100 = 87.5%.

To learn more about Probability here

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The total number of different variable names possible is approximately 2,096,883,896,418.

To calculate the number of possible variable names, we need to consider the constraints on the variable names:

1. The first character must be one of the 26 letters.

2. Each subsequent character can be either one of the 26 letters or one of the 10 digits, totaling 36 possible characters (26 letters + 10 digits).

We need to consider variable names of lengths from 1 to 8 characters. We'll calculate the number of possible variable names for each length and then sum them.

1. For a 1-character name:

  - There are 26 possible names (one for each letter).

2. For a 2-character name:

  - The first character has 26 options.

  - The second character has 36 options.

  - Total for 2 characters: [tex]\(26 \times 36\)[/tex].

3. For a 3-character name:

  - The first character has 26 options.

  - Each of the second and third characters has 36 options.

  - Total for 3 characters: [tex]\(26 \times 36 \times 36\)[/tex].

4. For a 4-character name:

  - The first character has 26 options.

  - Each of the second, third, and fourth characters has 36 options.

  - Total for 4 characters: [tex]\(26 \times 36 \times 36 \times 36\)[/tex].

5. For a 5-character name:

  - The first character has 26 options.

  - Each of the second, third, fourth, and fifth characters has 36 options.

  - Total for 5 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36\)[/tex].

6. For a 6-character name:

  - The first character has 26 options.

  - Each of the second, third, fourth, fifth, and sixth characters has 36 options.

  - Total for 6 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].

7. For a 7-character name:

  - The first character has 26 options.

  - Each of the second, third, fourth, fifth, sixth, and seventh characters has 36 options.

  - Total for 7 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].

8. For an 8-character name:

  - The first character has 26 options.

  - Each of the second, third, fourth, fifth, sixth, seventh, and eighth characters has 36 options.

  - Total for 8 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].

Now we sum these values to get the total number of possible variable names:

[tex]\[\begin{aligned} \text{Total} = & \ 26 + 26 \times 36 + 26 \times 36^2 + 26 \times 36^3 \\ & + 26 \times 36^4 + 26 \times 36^5 + 26 \times 36^6 + 26 \times 36^7\end{aligned}\][/tex]

Calculating each term separately and summing them:

[tex]\[\begin{aligned} & 26 = 26 \\ & 26 \times 36 = 936 \\ & 26 \times 36^2 = 33,696 \\ & 26 \times 36^3 = 1,213,056 \\ & 26 \times 36^4 = 43,669,056 \\ & 26 \times 36^5 = 1,572,085,056 \\ & 26 \times 36^6 = 56,595,062,016 \\ & 26 \times 36^7 = 2,038,722,232,576\end{aligned}\][/tex]

Summing these:

[tex]\[\begin{aligned} \text{Total} = & 26 + 936 + 33,696 + 1,213,056 + 43,669,056 \\ & + 1,572,085,056 + 56,595,062,016 + 2,038,722,232,576 \\ \approx & 2,096,883,896,418\end{aligned}\][/tex]

Answer:

Venn Diagrams

Step-by-step explanation:

Venn diagram: a diagram that uses circles and a rectangle to show the relationships that exist between different sets

Venn diagrams are used to organize information and solve problems.

Answer:

C

Step-by-step explanation:

Answer:

3/32

Step-by-step explanation:

To find out how many muffins are in each box, divide the total number of muffins by the number of boxes. There would be 5 muffins in each box if Eddie has a total of 45 muffins.

To write an expression that shows how many muffins are in each box, we can divide the total number of muffins by the number of boxes. Let's call the total number of muffins 'm' and the number of boxes '9'. The expression would be:

m ÷ 9

For example, if Eddie has 45 muffins, substituting 'm' with 45 in the expression would give us:

45 ÷ 9 = 5

Therefore, there would be 5 muffins in each box if Eddie has a total of 45 muffins.