write a word problem that uses mixed numbers and asks to find the unit price of an item

Using the concept of percentage we get 16-inch pizza is 43.75% larger than a 12-inch pizza.

Percentage means out of hundred. A number that is expressed as a fraction of a hundred is called a percentage. Percentage change = Change in the value / Initial value.

Area of circle = π R²,

Where R is the radius of circle.

Given that size of a pizza is measured by its diameter and surface area.

Diameter of the first pizza = 16 inch

So its radius = 8 inch

Hence area = π×8²

= 64π

And the diameter of the other pizza = 12 inch

So, its radius = 6 inch

Hence its area = π×6²

= 36π

Now the difference in areas of Both the pizza = 64π - 36π

= 28π

Now percentage difference in areas of both pizzas = 28π×100)/64π%

= 2800/64

=43.75%

Hence, 16-inch pizza is 43.75% larger than a 12-inch pizza.

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Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{9}{5} =\frac{18}{15} =\frac{6}{5}[/tex]

The value of the product of 2/3 × 9/5 is 6/5.

In the given question, we have to attempt fraction multiplication.

For fraction multiplication, we simply multiply the respective numerators and denominators with each other.

Here, in 2/3 × 9/5 ⇒ 18/15 (since 2×9=18) (since 3×5=15)

Now, since we can see that both the numerator and denominator in the solution can get divided by 3, we can simplify the fraction by dividing both the numerator and denominator by 3.

On dividing by 3, we get ⇒ 6/5

So, on multiplying 2/3 and 9/5, we get 18/15 which we later simplify into 6/5.

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The domain of the given function is {1, 2, 3, 4, 5} which represents she sells t-shirts.

The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.

We have been given that Sasha sells t-shirts. Each day she earns a set amount, plus a commission.

The domain of the given function represents she sells t-shirts.

According to the given table, the required domain will be as:

The domain of the given function = {1, 2, 3, 4, 5}.

Therefore, the domain of the given function is {1, 2, 3, 4, 5}.

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Answer:

The answer is x^{3}-2x^{2}-5x+6

Step-by-step explanation:

This is because only a Cubic Function would have such a shape. That leaves x^3 functions from there just substitute points and check

The strategy which would eliminate a variable in the system of equations is to multiply the top equation by 3 ,multiply the bottom equation by -2 then add the equation and is denoted as option B.

This is a mathematical term which is made up of two expressions and is connected by an equal sign.

In the example given below:

2x + 8y = -3

3x + 6y = -4

We can multiply the top by 3 and the bottom by -2 which will result in:

6x + 24y = -9

-6x - 12y = 8

They are then added to each other to give:

6x - 6x + 24y - 12y = -9+8

12y = -1

y = -1/12

From this we can notice that the variable x was eliminated which is why option B is the correct choice.

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The solution for x in the expression given as 15 + ax/5 =  10 is x = -25/a

From the question, the algebraic expression is given as

15 + ax/5 =  10

There is a constant to add to or subtract from the expression

So, the we subtract 15 from both sides

- 15 + 15 + ax/5 =  10 - 15

Evaluate

ax/5 = -5

Multiply both sides of the equation by 5

This gives

5 * ax/5 = -5 * 5

Evaluate the products

So, we have the following equation

ax = -25

Multiply both sides of the equation by 1/a

This gives

1/a * ax = -25 * 1/a

Evaluate the products in the above expression

x = -25/a

Hence, the solution is x = -25/a

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Answer:

x = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] = 4x ( multiply both sides by 2 to clear the fraction )

3 = 8x ( divide both sides by 8 )

[tex]\frac{3}{8}[/tex] = x

The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.

The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:

3 + x = 27

3 + x -3 = 27 - 3

x = 24

Similarly,

x + 6 – 6 = 5 – 6

x = -1

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Answer:

3+x=27

✔ subtraction property of equality with 3

x/6 = 5

✔ multiplication property of equality with 6

Step-by-step explanation:

The number of yards of ribbon Isabel bought is 41 yards.

It is given in the question that:-

Money in prepaid debit card = $ 20

Price of ribbon = 7 cents per yard

Money left on the card after buying the ribbon = $ 17.13

We have to find the number of cards of ribbon Isabel bought.

Money used in buying the ribbon = 20 - 17.13 = $ 2.87

We know that,

$ 1 = 100 cents

Hence, according to the data given in the question, we can write,

$ 2.87 = 287 cents

Yards of ribbon bought = 287/7 = 41 yards.

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Answer:

All answers other than {7, 11, 15, 19}

Step-by-step explanation:

If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.

Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.

All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.

Therefore, all of the options except for {7, 11, 15, 19} are valid.

The probability that of getting more than two heads is 0.9537.

The probability of precisely x successes per n repeated trials is known as a binomial probability, and X has only two possible outcomes.

P(X = x) = Cn,ₓ.pˣ(1 - p)ⁿ⁻ˣ   ...eq 1

Where  Cn,ₓ represents the number of distinct combinations of x items drawn from a group of n elements, as determined by the formula below.

Cn,ₓ = n!/x!(n - x)!

Where p is the likelihood that anything will happen.

10 appeals are necessary; n = 10.

Because 40% of appeals are successful; p = 0.4.

For the probability of getting at least two heads.

P(X ≥ 2) = 1 - P(X < 1)

P(X < 2) = P(X = 0) + P(X = 1)

Put the values in eq 1 and get the values for X.

P(X < 2) = 0.006 + 0.0403  = 0.0463

Now,

P(X ≥ 2) = 1 -  0.0463

P(X ≥ 2) = 0.9537

Thus, the probability that of getting more than two heads is 0.9537.

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The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined

1 to be 11/21

2 to be 61/116

4 to be 62/117

5 to be 25/47

6 to be 63/118

8 to be 64/119

0 to be 12/23

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.

The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.

The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below

12*/23* * replaced by 1 and reduced to be 11/21

12*/23* * replaced by 2 and reduced to be 61/116

12*/23* * replaced by 4 and reduced to be 62/117

12*/23* * replaced by 5 and reduced to be 25/47

12*/23* * replaced by 6 and reduced to be 63/118

12*/23* * replaced by 8 and reduced to be 64/119

12*/23* * replaced by 0 and reduced to be 12/23

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Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

The cost of covering the field with grass pallets is $40996.58.

Given that the rectangular field measures 90 m and 162 m.

Hence, the area of the field is 90 X 162 m²

The grass pallets are sure in shape with an area covering 90 square yards.

1 m = 1.09 yards

Hence,

1 m² = 1.09² square yards

Hence,

90 X 162 m² = 90 X 162 X 1.09² square yards

Hence the number of pallets to be used is

(90 X 162 X 1.09²) / 90

= 162 X 1.09² pallets.

= 192.4722 pallets.

1 pallet costs $213

Hence,

192.4722 pallets cost

192.4722 X 213

= $40996.58

Therefore we get the cost of covering the field with grass is  $40996.58.

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It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         [tex]t = \frac{500}{15} = 33.33[/tex]

It will take 33.33 years for the account to reach $5500

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Answer: 16

Step-by-step explanation:

Answer:

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

Let the sides of the old rectangle are l and w.

Answer: Hence the answer is 27 square feet.

Please look at the images for more details.

The rational numbers are -√25, -√25, √100, √0.36, √0.0144 and -√36/49. Select them

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers e.g 2/3, 7/1, √100 = 10/1, etc.

An irrational number is any real number that cannot be expressed as the quotient of two integers. This is the opposite of rational numbers. They are usually of roots that cannot give integers e.g 3√5, √8, etc.

√75 = √(25 x 3) = √25 x √3 = 5 x √3 = 5√3    (This is not rational)

-√25 = -5 = -5/1   (This is rational)

2*√7 = 2√7        (This is not rational)

√100 = 10 = 10/1  (This is rational)

√0.36 = √(36/100) = 6/10   (This is rational)

√0.0144 = √(144/10000) = 12/100  (This is rational)

√3/7 = √3/7  (This is not rational)

-√36/49 = -6/7  (This is rational)

Therefore, -√25, -√25, √100, √0.36, √0.0144 and -√36/49 are rational numbers. They should be selected

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Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.

Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.

An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.

Part A: (8d-7)-(3d+6)

=8d-7-3d-6

=5d-13

Part B: For 7 days, d=7

              Cost        No. of sold

Basic       17          8(7)-7=49

Deluxe     25         3(7)+6=27

Therefore, Basic=17*49=$833

Deluxe=25*27=$675

Difference=833-675=158

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The table showing the possible value of S and their possibilities is attached below,

The probability that a player moves their counter forward more than 2 spaces is 0.5.

The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1.

Here, If the number on the dice is even, S is half that number; if it is not even, S is double that amount. The table showing the possible value of S and their possibilities is attached below,

Now, finding the probability that a player moves their counter forward more than 2 spaces,

As seen from the table, the number of favorable outcomes where the player moves the counter more than 2 spaces is 3.

The total number of outcomes is 6. so, the probability will be,

Probability [tex]=\frac{3}{6}[/tex]

[tex]=\frac{1}{2} \\\\=0.5[/tex]

Hence, the probability that a player moves their counter forward more than 2 spaces is 0.5.

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The volume of the rectangular prism is the 75 ft cube.

The prism below is a rectangular prism.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.

The volume of a rectangular prism can be express as follows:

Volume of a rectangular prism = base area × height

Therefore,

base area of the prism = 25 ft²

height of the prism = 3 ft.

Hence,

Volume of the rectangular prism = 25 × 3

Volume of the rectangular prism = 75 ft³

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Events A and B are non-overlapping. Option(2) is correct.

When two sets A and B have at least one element in common, they are said to be overlapping.

The sets of photographs that don't overlap are the sets where no two pictures (correctly) don't overlap. They are the expansion of the cross-bifix-free sets of strings to two dimensions is called non-overlapping.

A red die and a blue die are rolled.

Assume that Event A is receiving the number 9.

Event B: You receive a double.

Whether events A and B overlap or not is what we want to determine.

When two red dice and two blue dice are thrown, a sample space is then provided by,

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5),(3,6), (4,1), (4,2), (4,3), (4,4),(4,5),(4,6) (5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2),(6,3)(6,4),(6,5),(6,6)}

The two dice are rolled, and there are a total of 36 outcomes.

n(S)=36

Assume that Event A is receiving the number 9.

The probable results for A = (3,6), (4,5), (5,5), (5,6), (6,3)

And let's say that you receive a double in Event B.

The events that may occur if B=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)

We can observe that the two events are distinct from one another since there is no overlap in the potential outcomes of the two events.

Therefore events A and B are non-overlapping

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its 4 cause i have done this

First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:

15 - 2x - 15 ≤ 11 - 15

Simplifying the left side, we get:

-2x ≤ -4

Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:

-2x/-2 ≥ -4/-2

Simplifying, we get:

x ≥ 2

Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.

add me cuties

The page is in landscape mode with a width : height is 3: 2

Given that,

The printable area is should be 42 square inches on a rectangular page. The margins at the top and bottom of the page are each one inch, while the margins on one side are one inch and two inches, respectively.

x = length of the horizontal side of the printable area

y = length of the vertical side of the printable area

XY = 42 inch²

y = 42/x

page height = y + 1 + 1

page width = x + 1 + 2

A = area of an entire sheet of paper

  = (x+3)(y+2)

  = (x+3)(42/x+2)

  = x(42/x+2)+3(42/x+2)

  = 42+2x+126/x+6

A = 2x+126/x+48

Extremes occur when A' = 0:

A' = 0 = 2 – 126/x²

1 = 63/x²

x² = 9*7

x = 3√(7), x has to be positive

y = 42/x = 42/(3√(7)) = 14√(7)/7 = 2√(7)

What should the dimensions of the page be so that the least amount of paper is used?

page width = x + 3 = 3√(7) + 3 = 3(√(7) + 1)

page height = y + 2 = 2√(7) + 2 = 2(√(7) + 1)

So, the page is in landscape mode with width: height is 3: 2.

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Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

AB and DE, BC and FE, then AC and DF

The solution is worked out using sides BC and FE, then AC and DF

BC / AC = FE / DF

8 / AC = 16 / 20

reducing the fraction 16/20 gives

8 / AC = 8 / 10

hence  AC = 10

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It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.

1/120 + 1/40 = 1/T

multiply by 40T;

3T = 40

T = 40/3

  = 13 1/3 minutes

  = 13 minutes 20 seconds

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

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Answer:

plsssssssssssssssssssssssssssssssssss

i came back home now....

Answer:9x>6=76

Step-by-step explanation:9x>6=76

Number of ways , two contaminated and 8 non- contaminated farms be choosen is 3,304,845,180.

Permutation and Combination

Combination is a mathematical way to arranging the set of values randomly.

ⁿCᵣ = n! / r! (n-r)!

we have given that ,

total number of farms for lead contamination = 50

Number of farms have dangerously high level of lead = 8

so, number of non- containmated farms ( no high level of lead ) = 50-8 = 42

We have to find the number of ways to choose two contaminated farms and eight non- contaminated farms. Two containmated farms are selected from 8 containated farms and 8 non- contaminated farms are selected from 42 farms .

Number of ways for selecting two containmated farms = ⁸C₂ = 8!/2!×6! = 8×7/2 = 28

Number of ways for selecting eight non-containmated farms from 42 farms = ⁴²C₈

= 42! / 8! 34! = 42×41×---×35/8×7×----×1

= 118013185

The total number of ways to obtain 2 containmated farms and 8 non- contaminated farms in 10 farms selected is then product of number of ways to select the 2 containmated farms and number of ways to select 8 non-containmated farms .

= 118030185× 28 = 3,304,845,180

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