if 3 pizzas serve 12 people, how many pizzas are needed for a pizza party with 68 people

Answer: $31

Step-by-step explanation:

155/5 = 31

Answer:

The answer is C.

I hope this helped you.

Answer: 10 2/3 written as a decimal is 10.67

Step-by-step explanation:

first off you would have to convert the fraction 2/3 into a decimal and to do that you have to divide the numbers and that would give you 0.66666666666 which you then round up and therefore you get 10.67

Answer:

8 rows and 8 columns

Step-by-step explanation:

8x8=64

Have a nice day!!!!!!! :-)

KA

There are 8 squares in each row of a standard checkers board, resulting in a total of 64 squares on the board.

We have,

A standard checkers board has 8 squares in each row.

It consists of 8 rows and 8 columns, for a total of 64 squares.

Each row has 8 squares, and each column also has 8 squares.

The rows are labelled with numbers from 1 to 8 (1 through 8), and each row contains 8 squares.

The columns are labelled with letters from A to H (A through H), and each column also contains 8 squares.

So, in each row, you have 8 squares, and since there are 8 rows in total, you have a total of:

=  8 rows * 8 squares per row

= 64 squares on the entire checkers' board.

Thus,

There are 8 squares in each row of a standard checkers board, resulting in a total of 64 squares on the board.

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Answer:

A relation is a set of ordered pairs.

Step-by-step explanation:

The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Answer:

"A number decreased by 4 is less than 14" written as an inequality is [tex]x[/tex] - 4 < 14

Step-by-step explanation:

First: Figure out what a number decreased by 4 is.

Well, a number decreased by 4, how would that look like? To find out, we should look for some key words in the term. So, I will bold out the keywords in the term this time:

A number decreased by 4

That word 'decreased' gives us a hint. Out of the four basic operations (addition, subtraction, multiplication and division), 'decreased' fits into the subtraction category best. So we can replace 'decreased' with a minus sign. Since we don't know the specific value of 'A number', we will assign it a variable, the variable [tex]x[/tex]. 4 is just 4 so we can leave that number alone. So the first term would look like this:

A number decreased by 4 = [tex]x[/tex] - 4

Second: Since we know what the first term is, we need to find out what the second term is and the inequality sign.

This step is quite easy. Let's tackle the inequality sign first:

A number decreased by 4 is less than 14

The only words that would describe an inequality sign are the words: 'less than'. The less than sign looks like this: <

Fourteen [just like four] is just a number so we don't need to change that

So our final product is this: [tex]x[/tex] - 4 < 14

Thank you for reading.

Topic: Inequalities

Answer:

○ D)

Step-by-step explanation:

This option has all the Consecutive [same-side] Angles, Alternate Exterior\Interior Angles, Corresponding Angles, and the Supplementary Angles correct.

○ C) This is incorrect because obviously, 65° + 125° gives us 190° instead of 180°, so this would not work.

○ B) This is definitely incorrect because obviously, 27° + 143° gives us 170°, so this definitely would not work anyway.

○ A) This is incorrect because the Alternate interior Angles are incorrect. They would have to be either 50° or 40°, which in this case we have no way of knowing.

○ D) This is correct because 35° + 145° gives us 180°, indicating parallel lines in this case.

I am joyous to assist you anytime.

In Option D, parallel lines shown in this case.

Now, We can formulate;

A) There are angles to be 50° or 40°,

Hence, This is incorrect because the Alternate interior Angles are incorrect.

B) Since, We get;

= 27° + 143°

= 170°,

Hence, This is incorrect

C) Since, We have;

= 65° + 125°

= 190° instead of 180°,

Hence, This is incorrect

D) Since, We have;

= 35° + 145°

= 180°,

Which indicating parallel lines in this case.

Hence, In Option D, parallel lines shown in this case.

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Answer:

9 bookcases.

Step-by-step explanation:

Total number of books = 943

Total number of books placed in one shelf = 22

Total number of shelves in one bookcase = 5

Total number of books displayed in one bookcase = [tex]No.\ of\ shelves\ in\ 1\ bookcase\times\ No.\ of\ books\ in\ each\ shelf[/tex]

Total number of books displayed in one bookcase= [tex]5\times 22=110[/tex]

Total number of bookcase required = [tex]\frac{total\ no.\ of\ books}{Number\ of\ books\ displayed\ in\ 1\ bookcase}[/tex]

Total number  of bookcase required = [tex]\frac{943}{110} =8\frac{63}{110}[/tex]

So, 880 books can be displayed in 8 bookcases. and for the remaining 63 books we also require one more bookcase. Therefore, the total number of bookcases needed are 9.

Answer:

y = x-2

Step-by-step explanation:

The value of y in the given equation; 4x+1=9+4y is y = x-2

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Thus the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

Given that 4x+1=9+4y

We need to solve for y;

4x+1=9+4y

4x - 4y = 9 -1

4x - 4y = 8

x - y = 2

Therefore, the value of y in the given equation; 4x+1=9+4y is y = x-2

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Answer:

21000

Step-by-step explanation:

We are given that

1 candy  making machine can produce Swedish jelly candies per minute=350

We have to find the number of Swedish jelly fish candies could  6 identical machines produce in 10 minutes.

In 10 minutes, 1 candy making machine can produce candies=[tex]350\times 10=3500[/tex]

1 candy making machine can produce candies in 10 minutes=3500

If the rate same then

6 identical candy machine can produce candies in 10 minutes=[tex]3500\times 6=21000[/tex]

Hence, 6 identical machines can produce  Swedish jelly fish candies in 10 minutes=21000

Answer:

366

Step-by-step explanation:

ADD

Answer:

8x - 5y = -75 or y = 1⅗x + 15

Step-by-step explanation:

5x + 8y = 16

-5x - 5x

_____________

8y = -5x + 16

___ ________

8 8

y = -⅝x + 2

↑

slope

Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:

-⅝ → 1⅗ [or 8⁄5]

7 = 1⅗[-5] + b

-8

15 = b

y = 1⅗x + 15 >> Perpendicular Line in Slope-Intercept Form

If wanted in Standard Form:

y = 1⅗x + 15

-1⅗x - 1⅗x

_____________

-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

-5[-1⅗x + y = 15]

8x - 5y = -75 >> Perpendicular Line in Standard Form

I am joyous to assist you anytime.

To compare two fraction you need to rewrite the fractions so they have a common denominator.

1/2 should have been rewritten as 4/8

The answer is:

D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

D.The fraction [tex]\frac{1}{2}[/tex] should have been rewritten as [tex]\frac{4}{8}[/tex].

Step-by-step explanation:

We are given that ratios as fraction

[tex]\frac{3}{8}[/tex] and [tex]\frac{1}{2}[/tex]

Colleen compared between given ratios

We have to find the first mistake of Colleen in her work.

First we make denominator of both fraction same

Therefore, we will divide and multiply by 4 in second fraction number

[tex]\frac{1}{2}\times \frac{4}{4}=\frac{4}{8}[/tex]

The numerator of [tex]\frac{4}{8}[/tex] is greater then the numerator [tex]\frac{3}{8}[/tex].

Hence, the [tex]\frac{4}{8} >\frac{3}{8}[/tex]

Therefore, option D is true.

Answer:D.The fraction [tex]\frac{1}{2}[/tex] should have been rewritten as [tex]\frac{4}{8}[/tex].

To transform the graph of y = x2 to y = (x - 12)2 + 3, subtract 12 from the x-coordinate to shift the graph horizontally and add 3 to the y-coordinate to shift it vertically.

To transform the graph of y = x^2 to the graph of y = (x - 12)^2 + 3, we need to understand the effect of each transformation on the original graph. Here are the steps:

By applying these transformations, we obtain the graph of y = (x - 12)^2 + 3, which is the original parabola shifted 12 units to the right and 3 units up.

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Answer:

A a number is an interger

The conclusion of the given conditional statement 'If a number is positive then it is a whole number and an integer' is 'A number is both a whole number and an integer', which corresponds to option C.

In a conditional statement, the conclusion is what is conjectured or inferred from the given hypothesis. For the statement 'If a number is positive then it is a whole number and an integer', the part after 'then' forms the conclusion, that a given number is both a whole number and an integer.

So the correct conclusion for the given conditional is 'A number is both a whole number and an integer'. Therefore, option C is the correct answer to this question.

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Answer:

120*2.75*60/5280

= 3.75

Step-by-step explanation:

So James is walking at 120 steps a minute, there are 60 minutes in one hour, and 5,280 feet in a mile. So, to find how quickly James is walking, we multiply how many steps he is taking a minute by how much distance each step is (120 * 2.75) that gives us how much distance in one minute, so we then multiply by 60 because there are 60 minutes in one hour. Then divide the entire equation by how many feet are in one mile (5,280) giving us the answer 3.75 miles per hour. And the equation 120*2.75*60/5280

Answer:

120 steps/1 minute  • 2.75 feet/1 step • 1 mile/5,280 feet • 60 minutes/1 hour

Step-by-step explanation:

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = [tex]Length^2[/tex]

Area of a Square of Length 2 inch = [tex]2^2=4 \:square \:inch[/tex]

Area of a Square of Length 12 inch = [tex]12^2=144 \:square \:inch[/tex]

Area of a Square of Length 0.8 inch = [tex]0.8^2=0.64 \:square \:inch[/tex]

Arranging the sides and corresponding area in ascending order:

(0.8, 2,  12) = (0.64,  4,   144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.

Answer:

x = 10

Step-by-step explanation:

Two less than three times a number is 28

Let's break it up.

2 less than: -2

3 times a number: 3x (x is representing a number")

is 28: = 28

So, let's put that together.

Two less than three times a number is 28

3x - 2 = 28

Now, let's solve this.

First, let's isolate the x.

To do this, we must add 2 to each side.

3x - 2 = 28

+2           +2

3x - 2 + 2 = 3x

28 + 2 = 30

We have 3x = 30

Now, we must simplify.

To do this, we must divide each side by 3.

This, in term, will tell us what x equals.

3x = 30

---    ----

3      3

3x/3 = x

30/3 = 10

x = 10

Final answer:

The answer to the algebraic equation 'Two less than three times a number is 28' is 10. This is solved by setting up the equation 3x - 2 = 28 and solving for x.

Explanation:

The student's question involves solving a basic algebraic equation. To find the number in question, we can set up the equation 3x - 2 = 28, where x represents the unknown number. By adding 2 to both sides of the equation, we get 3x = 30, and then by dividing both sides by 3, we arrive at x = 10. Thus, the number that the student is looking for is 10.

Step-by-step-explanation:

Two less than three times a number is 28.

Let's define the unknown number as x.

Translate the given sentence into an equation: 3x - 2 = 28.

Solve for x: 3x = 30, x = 10.

The range is 12 because range means is finding the distance of the numbers which is 0-12 so our answer is 12.

Hey!

----------------------------------

Range - is the value of subtracting the highest number by the lowest number.

----------------------------------

Highest Number: 12

Lowest Number: 0

Subtract: 12 - 0 = 12

----------------------------------

Answer:

12 is the range of this data.

----------------------------------

Hope This Helped! Good Luck!

Answer:

It would cost $580.8 to carpet every room except the kitchen

Step-by-step explanation:

* Lets explain how to find the area which will covered by carpet

- From the graph we can find the dimension of each room

# Enclosed porch

- It is shaped a square with side length 10 feet

∵ Area of the square = L² , L is the length of the side of the square

∴ A = 10² = 100 feet²

∴ The area of the Enclosed porch is 100 feet²

# Living room

- It is shaped L letter, so we can find its area by divide it into two

rectangles

- Rectangle 1 with dimensions 12 by 10

- Rectangle 2 with dimensions [(14 - 10) + 12] and [(5 + 10) - 8]

∵ Area of rectangle = l × w , where l , w are its dimensions

∴ Area of rectangle 1 = 12 × 10 = 120 feet²

∵ The dimension of rectangle 2 are 16 and 7

∴ Area of rectangle 2 = 16 × 7 = 112 feet²

∵ Area of the living room = Area rectangle 1 + area rectangle 2

∴ Area of the living room = 120 + 112 = 232 feet²

∴ The area of the living room is 232 feet²

# Dining room

- It is shaped a rectangle of dimensions (35 - 16) and 8

∵ The area of the dining room = l × w

∵ l = 19 and w = 8

∴ The area of the dining room = 19 × 8 = 152 feet²

∴ The area of the dining room is 152 feet²

* Lets find the total area to carpet

∵ The dining room , living room and enclosed porch would carpet

∴ The total area to carpet = 100 + 232 + 152 = 484 feet²

- Suppose that carpeting costs $1.20 per square foot

∵ The cost of the carpet is $1.20 per foot²

∵ The area will covered = 484 feet²

∴ The cost of the carpet = 484 × 1.2 = $580.8

* It would cost $580.8 to carpet every room except the kitchen

- Look to the attached figure for more understand

Answer:

203.5 grams

Step-by-step explanation:

50 x 5.67 = 203.5

Answer:

854,607,250 > 854,606,250

Step-by-step explanation:

Follow PEMDAS

(18 — 3) ÷ (6 — 1) __ 4 • (10—3) — 4 • 2

First do everything in parentheses

15 ÷ 5 __ 4 • 7 — 8

Then multiply and divide

3 __ 28 —8

Subtract

3 __ 20

Determine if it is <, >, or =

3 < 20

To find out how much Luis would pay for 900 messages, we first determine the cost per message using the given plan ($2.00 for 80 messages) and then multiply by the number of desired messages. Luis would pay $22.50 for 900 text messages.

To solve this, first, find the cost per message by dividing the total cost by the number of messages in the plan. Then, multiply the cost per message by the total number of desired messages.

Step 1: Calculate the cost per message.
Cost per message = $2.00 / 80 messages = $0.025 per message.

Step 2: Multiply the cost per message by the total number of messages Luis wants to send.
Total cost for 900 messages = 900 messages * $0.025 per message = $22.50.

Therefore, Luis would pay $22.50 for 900 text messages in one month using this plan.

The answer is 295.84!

Final answer:

The relationship between the mean and median margin of victory in a right-skewed distribution is explained.

Explanation:

The relationship between the mean and median margin of victory in this case defines a right-skewed distribution. In a skewed distribution, the mean tends to be farther out on the tail compared to the median. This is because in a right-skewed distribution, there are a few large values that pull the mean towards the right and away from the median, which represents the middle value. In this case, the mean margin of victory is 88.2, and the median margin of victory is 87.5. Therefore, the correct answer is option A) skewed to the right.

Answer:

b. There are horizontal and vertical asymptotes

Step-by-step explanation:

The graph is a hyperbola with asymptotes of x=0 and y=0

The correct options regarding the graph of y = 1/x are:

b. There are horizontal and vertical asymptotes.

c. The graph intersects the x-axis in two places.

a. The domain of y = 1/x is all real numbers except x = 0 since division by zero is undefined.

b. The graph of y = 1/x has a vertical asymptote at x = 0, which means the function approaches infinity as x approaches 0 from the left side and approaches negative infinity as x approaches 0 from the right side.

There is no horizontal asymptote because the function does not approach a specific y-value as x approaches positive or negative infinity.

c. The graph intersects the x-axis in two places: once for positive x-values and once for negative x-values.

The x-intercepts occur when y = 0, which happens when x = 1 and x = -1.

d. The range of y = 1/x is y ≠ 0 since division by zero is undefined. The function can take on positive and negative values as x approaches positive or negative infinity, respectively.

Therefore, the range is y < 0 or y > 0, depending on the chosen interval.

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Answer:

the sum of two negative integers is a negative integer. true

the sum of two positive integers is a positive integer. true

to find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.

true

the additive inverse of any integer and its opposite is equal to 0. false

The sum of any integer and its opposite is equal to zero.

Answer:

which people and businesses with higher incomes have higher tax rates is known as Progressive tax

Answer:

x = 84

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540 to find x

x + 131 + 108 + 107 + 110 = 540, that is

x + 456 = 540 ( subtract 456 from both sides )

x = 84

Answer:

84 degrees.

Step-by-step explanation:

This is a pentagon . The sum of the 5 angles is 540 degrees.

x = 540 - (131 + 108 + 107 + 110)

= 84 degrees.