after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?

Answers

Answer 1

Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24

What is a mixed number and how is it different from an improper fraction?

A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.

How do you convert a mixed number to an improper fraction?

To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.

So to find out the fraction of a whole pizza  that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,

3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24

Now to equally divide this into 5 person, we need to divide this fraction by 5,

i.e 55/(24*5) = 11/24

Therefore, each person gets 11/24 of the whole pizza.

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Related Questions

5.07 - 2.148
????????????

Answers

Answer:

Step-by-step explanation: 2.922

Answer: 2.922

Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.

I’m doing math homework and is about functions they said f(x)= x-3 and g(x)= √x-2

After I set them up I have this
am I supposed to just add the numbers or is there something else to do?

√ (x-3)-2

Answers

Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.

To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.

For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:

h(5) = √(5-3) - 2

= √2 - 2

= 1.4 - 2

= -0.6

Therefore, the value of h(x) for x = 5 is -0.6.

You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.

Step-by-step explanation:

Answer:

g[f(x)]

Step-by-step explanation:

Given functions:

[tex]f(x)=x-3[/tex]

[tex]g(x)=\sqrt{x}-2[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]

Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Suppose an angle has a measure of 2. 1 radians.

This angle (with a measure of 2. 1 radians) is what percent of a full rotation?
 %

Use your work in part (i) to determine the measure of the angle in degrees.
 degrees

Answers

If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .

we know that in 1 full rotation , the radians is 2π ;

and in 1 full rotation , the degree is 360 degree ;

We know that the relation between the degree and the radian measure is

⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;

Part(i) ;

we have to express the 2.1 radians as a percent of full rotation ;

we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]

on simplifying further ,

we get ; [tex]\approx 33.4\%[/tex] .

Part(ii)  ;

we have to determine the measure of the angle in degrees.

from part(i) , we find the percent is [tex]33.4\%[/tex] ,

So , [tex]33.4\%\times 360\textdegree[/tex]

On simplifying ,

⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]

[tex]\approx 120.2\textdegree[/tex] .

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Find the x and y Intercept of x + 2y = -14

Answers

Answer:

Y-intercept: (0, -7)

X-intercept: (-14,0)

Step-by-step explanation:

To find the y-intercept, we need to put 0 in for x

0 + 2y = -14

2y = -14

y = -7

So, the y-intercept is located at (0, -7)

To find the x-intercept, we need to put 0 in for y

x + 2(0) = -14

x = -14

So, the x-intercept is located at (-14,0)

Step-by-step explanation:

To find the y-intercep, we need to put 0 in for x

0 + 2y= -14

2y = -14

y = - 7

So, the y - intercept is located at ( 0, - 7)

On a assembly line, 2 parts can be made per minute. There are 8 parts already made. To determine how many more minutes (x) it will take to make y total parts, the equation y=2x + 8 is written. What is the description of a solution to this problem?

Answers

The description of a solution to the problem modeled by the function y = 2x + 8 is given as follows:

The time needed to complete 40 parts  is of 16 minutes.

What is the interpretation for the function in this problem?

The function for this problem is defined as follows:

y = 2x + 8.

In which the variables are defined as follows:

x is the time in minutes.y is the number of parts produced.

Hence, solving the function for x, we are going to obtain the time needed to produce y parts, giving the description of a solution for this problem.

When y = 40, the solution for x is given as follows:

40 = 2x + 8

2x = 32

x = 32/2

x = 16 minutes.

The interpretation of this solution is that a time of 16 minutes is needed to obtain a production of 40 parts.

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if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6

Answers

Answer:

If x-3 is directly proportional to the square of y, then we can say that:

(x-3) = ky^2

Where k is a constant of proportionality.

If x=5 when y=2, we can substitute these values into the equation to find the value of k:

(5-3) = k(2)^2

2 = 4k

k = 0.5

Now that we have the value of k, we can use it to find the value of x when y=6:

(x-3) = (0.5)(6)^2

x-3 = 18

x = 21

So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.

Y=6 and x=-1 parallel or perpendicular line

Answers

Answer:

perpendicular

Step-by-step explanation:

Solved previously.How many three-digit positive integers $x$ satisfy $3874x 481\equiv 1205 \pmod{23}$

Answers

The solution indicates 40 positive three-digit integers of this kind are available.

What are Positive integers?

The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.

Which of these integers are negative?

Left of zero on the number line, a negative number is an integer. It is not zero, though.

According to the given information:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n.

Since;

900/23 = 39 3/23,

we know:

There are 39 or 40 three-digit integers of this form.

As it happens,

100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,

hence 40 solutions to the equation.

The equation reduces, mod 23, to

10x = 11

Its solutions are x = 23n +8.

This shows There are 40 three-digit positive integers of this form.

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Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive?

is this proportional or non proportional and why.

Answers

What does it mean to be proportional?

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

If Donny makes $9.75 per lawn, we can make a table that looks like this:

1 Lawn = $9.95

2 Lawns = $19.90

3 Lawns = $29.85...

And so on.

You can see this is proportional because it has a constant ratio between both elements.

(1 to 9.95)

So, it is proportional.

What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?

Answers

It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

It is given that  a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:

By using the Pythagoras theorem, we have

a^2+b^2= c^2

Substituting the given values, we have

12/√2

Thus, the length of the hypotenuse will be

12/√2

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PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.

Answers

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

What is Triangle ?

Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.

Given ,

ABCD is an isosceles trapezoid with legs AB and CD and base BC.

If the length of AB is (7y - 4),

the length of BC s (4y - 6),

and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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What is 2/3 + 1/6 + 2/8

Answers

Answer:

2/3 + 1/6 + 2/8

=(2×8+1×4+2×3)/24

=(16+4+6)/24

=26/24

=13/12

*mark me brainliest

200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit
punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Please help me, (with show of math)

Answers

Yes, because as x increases, y increases and because all of the pairs represent the same ratio.

What does it mean when a ratio is proportional?

When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.

If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.

Yes, because as x increases, y increases.

Yes, because all of the pairs represent the same ratio.

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A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter

Answers

Answer:

y=4x+12

Step-by-step explanation:

if a line is parallel to another they have the same slope ,,

y=mx+c

where m represents the slope

and c represents the intercepted part of y axis

so the slope equals 4 from y=4x+11

to find the intercepted part c ,, substitute by the given point in the equation y=mx+c

(-2,4),, and slope is 4

4= 4×-2+c

4= -8+c

c= 12

so the equation is

y=4x+12

Answer:

y =4x-18

Step-by-step explanation:

y +2 = 4(x - 4)

y +2 =4x-16

y = 4x-18

I need help solving for x

Answers

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

What Does Solve for x Mean?

Let's begin with a straightforward equation: x + 2 = 7.

How do you obtain X on your own?

Take away two from both sides.

⇒ x + 2 - 2 = 7 - 2\s⇒ x = 5

Check the solution, x = 5, by reentering it into the equation. We get 5 + 2= 7.

R.H.S. L.H.S.

Utilizing triangle properties or the Pythagorean theorem, we can get a solution for the unknown side or angle of a triangle.

With the aid of an example, let's clarify how to solve for x in a triangle.

Two of ABC's legs, which measure 7 units and 24 units respectively, are right-angled at B. Look for the hypotenuse X.

By using the Pythagorean theorem to ABC,

We obtain AC2 = AB2 + BC2, where x2 = 72 + 242, 49 + 576, and 625 where x2 = 625.

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y=1/4x+3 in standard form

Answers

Answer:

Step-by-step explanation:

2

Please tell me someone know I have to go back to school tomorrow

Answers

An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.

What is a reflection?

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By reflecting the given function across the across the y-axis (y = x), we have the following:

f(x) = x/3 - 6

g(x) = f(-x)

g(x) = -x/3 - 6.

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I NEED ANSWERS ASAP!!!!!!!!!!!

If WY is 4. 6, what is MZ? Round your

answer to the nearest tenth. Write NA if there

is not enough information given.

Answers

NA (There is not enough information given to determine the value of MZ)

In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.

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6 less than 3 times a number 42 what is the number

Answers

Answer: -120

6 less than is 6 - and 3 times a number 42 is 3 x 42 so...

6 - (3 x 42) = -120

Determine the range of f(x) = x + 51.
A-{yl-00 B-{y 1-5 C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}

Answers

Answer:

90670998.89999999999999

Which is the product of 15 [tex]\frac{5}{12}[/tex]
( 100 POINTS )

Answers

Answer:

[tex] \sf \: \frac{75}{12} \: (or) \: 6.25[/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]

[tex] \sf \rightarrow \: \frac{(15 \times 5)}{12} [/tex]

[tex] \sf \rightarrow \: \frac{75}{12} = 6.25[/tex]

Hence, the product is 6.25.

Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.

What will Leo's balance be after 8 months?

Leo's bank balance will be $
after 8 months.

Answers

Leo's balance after 8 months is $1725.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16 is a geometric sequence.

We have,

1500, 1530, and 1560 is a geometric sequence.

First term.

a = 1500

Common ratio.

r = 1.02

The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].

Now,

For n = 8,

8th term.

= 1500 x [tex]1.02^7[/tex]

= 1500 x 1.15

= 1725

Thus,

The balance after 8 months is $1725.

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fill in the table using this function rule. y=6x-36

Answers

Answer is in the attachment

There was no table so I created one

From the equation I can see at 0, y = -36

From there I used positive numbers from 0 and substituted them into the equation for a y solution.

A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth

Answers

The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.

What is probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Calculating probability of selecting a card:

From the question, we are to determine the probability of selecting two cards with D and D

From the formula for probability, we have that

P(D) = Number of favorable outcomes to D / Total number of possible outcomes

From the given information,

Number of favorable outcomes to D = 2

Number of possible outcomes = 3

Thus,

P(D) = 2/3

Then,

The probability of selecting two cards that have D and D with replacement is

P(D, D) = P(D) × P(D)

P(D, D) = 2/3 × 2/3

P(D, D) = 4/9

Hence, the probability is 4/9.

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I
need to show work please help me its due tomorrow

Answers

Answer:

#1

Step-by-step explanation:

boxes   apples

3            6

6           12

9          18

10         20

ratio of apples to boxes is 2:1.   2 apples each box.  Divide the number of apples by 2 to get the number of boxes.  multiply boxes by 2 to get apples.

#2

boxes    cherries

3             12

5           20

6            24

7            28

if you divide cherrie by 4 you get the number of boxes.

Multiply boxes by 4 to get cherries.

Ratio of cherries to boxes is 4 to 1.

I have a 1 in the ones place, a 4 in the tens place, and a 5 in the hundreds place.

Answers

Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

How do you find the inverse of a 4x4?

Answers

By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.

If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.

Correct Question :

How do you find the inverse of a 4x4 matrix?

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solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.

Answers

Using the fact that the triangles are similar, we will see that:

x = 5.626

How to find the value of x?

On the image we can see two triangles, such that one is inscribed on the other.

Just because of that, it is obvious that the two triangles are similar.

And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:

3/x = 8/15

The quotient is "left side over the bottom side"

We can solve that equation for x:

3/x = 8/15

3 = (8/15)*x

(15/8)*3 = x

45/8 = x

5.625 = x

That is the value of x.

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In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?

Answers

To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

How to find the percentage growth?

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

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I don’t know this question
help me

Answers

The number of groups of like terms is 3

What is an algebraic expression?

An algebraic expression is defined as an expression made up of terms, variables, coefficients, constants, and factors.

These algebraic expressions are also composed of mathematical operations, such as;

AdditionSubtractionDivisionBracketParenthesesMultiplication, etc

A term can be described a single variable, number or numbers and variables that are multiplied together.

From the information given, we have the terms;

3x¹³, 9x¹⁰, -1x¹³, -16x¹³, 3x¹⁰, 3¹³, 10x¹⁰, 13x¹⁰

The similar terms are;

3x¹³,  3x¹⁰,  3¹³

Hence, the number is 3

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