Tell the percentage below:

You will need 280 cups of cranberry juice and 56 cups of Sprite to make 56 cups of the famous punch.

What is the ratio definition?

A ratio is a mathematical comparison of two or more values or quantities. It is usually written as a fraction, with the first value or quantity being the numerator and the second value or quantity being the denominator.

To make 56 cups of famous punch using the ratio of 5 cups of cranberry juice to 2 cups of Sprite, you can use the following method:

Write the ratio of cranberry juice to Sprite as a fraction: 5 cups cranberry juice / 2 cups sprite

Multiply the fraction by the desired number of cups of punch: (5 cups cranberry juice / 2 cups sprite) x 56 cups punch

Simplify the equation by cross-multiplying: 5 cups cranberry juice x 56 cups punch = 2 cups sprite x 56 cups punch

Solve for the number of cups of cranberry juice: 5 cups cranberry juice x 56 cups punch = 280 cups of cranberry juice

To find the amount of Sprite use the ratio 5:2, meaning you have to use 2 cups of sprite for every 5 cups of cranberry juice. So use 280/5*2 = 56 cups of sprite

Hence, you will need 280 cups of cranberry juice and 56 cups of Sprite to make 56 cups of the famous punch.

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Answer:

v = 113.04 [tex]units^{3}[/tex]

Step-by-step explanation:

v = 4/3[tex]\pi r^{3}[/tex]

v = 4/3[tex]\pi 3^{3}[/tex]

v = 113.04 [tex]units^{3}[/tex]

The P-value of the test is the probability of observing a sample proportion of 80/100 or less, given that the null hypothesis is true.

This can be calculated using the formula P(X <= x) = Σ (n x) p^(x) q^(n-x), where n = 100, x = 80, p = 0.75 and q = 1-0.75. Following this formula, the P-value of the test is calculated to be 0.0009. This means that there is a 0.0009 probability of observing a sample proportion of 80/100 or less, given that the null hypothesis is true. Therefore, the data provide convincing evidence that the proportion of people who lose their balance while standing on one foot and closing their eyes is less than 75%.The P-value of the test is the probability of observing a sample proportion of 80/100 or less, given that the null hypothesis is true.

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The term, [tex]\frac{1}{49}[/tex] is simplified form of the expression [tex]7^{-\frac{5}{6}} \ \cdot\ 7^{-\frac{7}{6}}[/tex].

The top and bottom of a fraction are said to be in its simplest form if they only share the number one. For the top & bottom to remain whole numbers, you cannot divide them further.

Additionally, lowest terms, or simple form, may be used.

The simplest form of a fraction, for instance, is 4/5. Apart from 1, there isn't a number that divides both 4 and 5. Not in its simplest form is the fraction 3/6. Numerator & denominator can both be divided by 3.

Given to simplify the expression

[tex]7^{-\dfrac{5}{6}} \ \cdot\ 7^{-\dfrac{7}{6}}[/tex]

[tex]7^{(-\dfrac{5}{6}-\dfrac{7}{6})}[/tex]

[tex]7^{(\dfrac{-5-7}{6})}[/tex]

[tex]7^{(\dfrac{-12}{6})}[/tex]

[tex]7^{(-2)}[/tex]

[tex]\dfrac{1}{7} \times \dfrac{1}{7}[/tex]

[tex]\dfrac{1}{49}[/tex]

Thus, [tex]\frac{1}{49}[/tex] is simplified form of the expression [tex]7^{-\frac{5}{6}} \ \cdot\ 7^{-\frac{7}{6}}[/tex].

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The option that will cost less money from Regina is $8 a class.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Since the cost for the classes at the community center is $72, plus an additional one-time fee of $12 to rent

the yoga equipment used in class. The amount will be:

= $72 + $12

= $84

The other cost at $8 a class for 2 weeks will be:

= $8 × 10 days

= $80

The second option is cheaper.

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Yoga classes are offered 2 days a week for 6 weeks

at both the community center and the local gym.

The cost for the classes at the community center is

$72, plus an additional one-time fee of $12 to rent

the yoga equipment used in class. The cost at the

local gym is $8 a class. Regina wants to know which

class she can take for less money.

[tex]44+\cfrac{7}{8}r\implies 44+\cfrac{7}{8}\left( -\cfrac{1}{2} \right)\implies 44-\cfrac{7}{16}\implies \cfrac{(16)44~~ - ~~(1)7}{\underset{\textit{we'll use this LCD}}{16}} \\\\\\ \cfrac{704~~ - ~~7}{16}\implies \cfrac{697}{16}\implies 43\frac{9}{16}[/tex]

When working with word problems, students should first read the problem and decide if it is a one-step or two-step problem.

A one-step problem involves solving for a single unknown quantity, such as finding the total cost of 10 pencils at $0.50 each. The formula for this would be C = Pn, where C is the cost, P is the price, and n is the number of items. To solve this problem, the student would multiply the price and number of items, so C = 0.50 x 10 = $5.00. A two-step problem involves solving for two unknowns, such as finding the total cost of 10 pencils at a 10% discount. The formula for this would be C = Pn (1 - r), where r is the discount rate. To solve this problem, the student would first calculate the discount by multiplying the price and number of items by the discount rate, so C = 0.50 x 10 x 0.10 = $0.50. Then the student would subtract the discount from the total cost, so C = 0.50 x 10 - 0.50 = $4.50.

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The total profit of F_1 in the week was $25920 and the total profit of F_2 in the week was $0.

The profit vector can be expressed as p = [35 62 30]. The total profit of F_1 and F_2 can be calculated by multiplying the matrix A by the vector p. The result, Ap, is a vector whose components give the total profits of the two stores in the week.

For example, the total profit of F_1 can be calculated as Ap_1 = [35 62 30] * [400 60 240] = [14000 3720 7200] = 25920.

Similarly, the total profit of F_2 can be calculated as Ap_2 = [35 62 30] * [0 0 0] = [0 0 0] = 0.

Therefore, the total profit of F_1 in the week was $25920 and the total profit of F_2 in the week was $0.

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Answer: 50

Step-by-step explanation:

You can plug in 4 for any of the equations given.

y = 10 + 10(4)

y = 10 + 40

y = 50

OR

y = 30 + 5(4)

y = 30 + 20

y = 50

Answer:

y = 50

Step-by-step explanation:

Since x = 4, plug the value into either equation.

[tex]y =10+10x\\y = 10 + 10(4)\\y=10+40\\y=50[/tex]

Therefore, y equals 50.

Answer: C. 25%

Step-by-step explanation: This is a basic probability problem. First, you must find the total which is in question. 400 grams is the total in this case. The Cs make up 100 grams of this. Next, you put the part over the whole, and divide. 100/400= 0.25. When you want to find the probability with the probability sign, you move the decimal place two points to the right and then add the sign. Hence, 25%.

Answer:

4w - 20

Step-by-step explanation:

hope this help i guess

Answer:

Step-by-step explanation:
Let's represent the missing number with "---" -- so we have so far:

--- --- --- 30 --- --- 128 --- ---  ?
Now, let's say 5th position number is x and 6th position number is y
So, we have 30 + x = y and x+ y = 128
Combining these 2 equation, we get: x + 30 + x = 128 or x = 49, so y = 79

thus from 4th position, the series can be written as
30, 49, 79, 128, 207, 335, 542....
Thus, at 10th position we will have 542 !!!

Relative to the mean, there are some school districts where many students are using ipads.

What is called the mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is sometimes referred to as the "average" and is the most widely used central tendency metric.

Simply dividing the total number of values in a data set by the sum of all of the values yields it. The calculation can be performed on unprocessed data or data that has been combined into a frequency table.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Mean: The "average" number; found by adding all data points and dividing by the number of data points. Example: The mean of 4, 1, and 7 is ( 4 + 1 + 7 ) / 3 = 12 / 3 = 4 (4+1+7)/3 = 12/3 = 4 (4+1+7)/3=12/3=4left parenthesis, 4, plus, 1, plus, 7, right parenthesis, slash, 3, equals, 12, slash, 3, equals, 4.

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When opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram. (PA = RT and PT = AR)

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

A quadrilateral is a specific type of polygon known as a parallelogram if it contains two parallel opposed sides. A parallelogram has the following qualities:

Each coordinate of the Parallelogram :

P (-3, 0) , A(3, -1) , R ( 2, -5) and T(-4, -4)

Length of PA = √((3 + 3)² + (-1 - 0)²) = √(36 + 1) = √37

Lenght of TR = √((-4 - 2)² + (-4 + 5)²) = √(36 + 1) = √37

Length of PT = √((-3 + 4)² + (0 + 4)²) = √(16 + 1) = √17

Length of AR = √((3-2)² + (-1 + 5)²) = √(16 + 1) = √17

Here, PA = RT and PT = AR ,

so when opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram.

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The value of the variable x for the given f(x) = 2 by simplifying the antiderivative of  the given function is given by x = 0.4865.

As given in the question,

Given anti derivative of f(x)  :

For the limit 0 to x for the integration of e^4t with respect t

= [tex]\int\limits^x_0 {e^{4t} } \, dt[/tex]

= ( 1/4) e^4x  + ( 1/4 )

Value of the function f (x)  = 2

Now f(x) = 2

Substitute the value of the function f(x) we get,

( 1/4) e^4x  + ( 1/4 ) = 2

⇒ e^4x + 1 = 8

⇒ e^4x = 7

⇒x = log7 / 4

⇒ x= 0.4865

Therefore, the value of the x by simplifying the antiderivative function f(x) for the given f(x) = 2 is equal to 0.4865.

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Answer:

0

Step-by-step explanation:

I believe this is correct. Since they don't have the same sign then you will just have to subtract them.

Answer: 6

Step-by-step explanation:

The chef needed a) 3¾ cups of lemon juice and b) 20 pints olive oil for the larger batch.

A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like 2 1/3 is one where the remainder is 1 and the quotient is 2. Therefore, a mixed fraction is made up of both a whole number and a correct fraction.

The recipe was for 4 person, but now here are 40

The scale multiple is = 40/4

                                   = 10

a) As 1 cup = 16 tablespoon

The number of tablespoon of lemon required for 40 men = 6 × 10

                                                                                                 = 60

Converting to cup = 60/16

                              = 3¾ cups

b) As 1 cup = 0.5 pints

The number of cups of olive oil required for 40 men = 1 × 10

                                                                                        = 10

Converting to pints = 10/0.5

                              = 20 pints

Thus, The chef needed 3¾ cups of lemon juice and 20 pints olive oil for the larger batch.

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The first lefty is the fifth person chosen is7.45%

There are some lefties among the 5 people is, 50.16%

The first lefty is the fifth person chosen is

[tex](.87)^4(.13)=.07447=7.45 \%[/tex]

There are some lefties among the 5 people is,

[tex]$$1-(.87)^5=.50157=50.16 \%$$[/tex]

The first lefty is the second or third person.

[tex]$(.87)(.13)+(.87)^2(.13)=.211497=21.15 \%_0$[/tex]

There are exactly 3 lefties in the group.

[tex]$(5, .13,3)=.0166=1.66 \%$[/tex]

There are at least 3 lefties in the group,

[tex]1 \text { - binomadf }(5, .13,2)=.0179=1.79 \%[/tex]

There are no more than 3 lefties in the group

[tex]\text { binomcdf }(5, .13,3)=.9987=99.87 \%[/tex]

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A Gallup poll conducted in April found that 55% of Americans believe driverless cars will be common in the next 10 years, as presented in a histogram showing the percentage of responses in different time intervals.

A Gallup Poll was conducted in April that surveyed adults aged 18 or older to gauge their perceptions on when fully automated "driverless cars" will be commonly used in the United States.

The question asked was "how soon do you think driverless cars will be commonly used in the United States?" The survey indicated that 55% of Americans believe that driverless cars will be common in the next 10 years.

The results of the survey were presented in a histogram, showing the percentage of responses in different time intervals, which means it shows how many people responded within a certain time frame (e.g. within 5 years, within 10 years, etc.) when they think driverless cars will be commonly used.

This poll gives an insight into how people perceive the future of driverless cars and how soon they think it will become a common sight on the roads.

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The question is -

A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.

Answer:

  (3n +8) -3n = 8

Step-by-step explanation:

You have the difference (3n+15) -7, and you want its value when it is decreased by the triple of the original number (n).

The phrase "triple the original number" will be translated to 3n. This is the value you want to subtract.

  (3n +15) -7 = 3n +8 . . . . . "the difference"

  (3n +8) -3n = 8 . . . . . . . . "decreased by triple the original number"

This simplifies to 8, which is the point of the exercise: showing the sequence of steps always gives a value of 8.

T = si is an expression that can be used to represent the party's projected cost.

T = si is an expression that can be used to represent the party's projected cost.

It should be remembered that expressions depict how variables relate to one another.

We can use the following phrase to obtain an estimated party cost:

T = s×i

where:

T is the ice cream party's overall budget.

s is the number of ninth-graders.

I = the ice cream unit price.

discover more on expressions;

All ninth graders are invited to an ice cream celebration as a prize for accomplishing their goals.

1) Write an expression that could represent an estimated cost for the party. Use at least one letter. State what each part of the expression represents.

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The inverse demand function is P = 2400 + 5Q

Given that

Q = 480 - 0.2P

We simply make P the subject of the formula

So, we have

0.2P = 480 - Q

Divide by 0.2

P = 2400 + 5Q

To find the marginal revenue function, we can use the inverse demand function P = 2400 + 5Q, and take the derivative of this function with respect to Q.

The derivative of P with respect to Q is dP/dQ = 5. This represents the change in price for a one unit change in the quantity of operations performed.

So the Marginal Revenue function is MR = dP/dQ * Q = 5Q

To maximize profit, the doctor should equate marginal revenue to marginal cost, which is

MC = dAVC/dQ

So, we have

MC = d(2Q² - 15Q + 400)/dQ

Evaluate

MC = 4Q - 15.

So, we have

5Q = 4Q - 15

Q = -15

Take the absolute value

Q = 15

So, the number of operations is 15

We have

P = 2400 + 5Q

This gives

P = 2400 + 5 * 15

Evaluate

P = 2475

To find the profit, we need to subtract the total cost from the total revenue.

The total revenue is found by multiplying the price by the quantity of operations performed: TR = P * Q = 2475 * 15 = 37125

The total variable cost is found by multiplying the average variable cost by the quantity of operations performed: TVC = AVC * Q = (2Q^2 - 15Q + 400) * Q = 2Q^3 - 15Q^2 + 400Q

The total fixed cost is the fixed cost that doesn't change regardless of the level of output : TFC = $8000

The total cost is the sum of the total variable cost and total fixed cost: TC = TVC + TFC = 2Q^3 - 15Q^2 + 400Q + $8000

The profit is the difference between total revenue and total cost:

π = TR - TC = 37125 - (2Q^3 - 15Q^2 + 400Q + $8000)

When Q = 15,

profit is π = 37125 - (2(15)^3 - 15(15)^2 + 400(15) + $8000)

= 19750

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1. 80 people attended only the FSU-Butler game.

2. 165. Since it's not possible to have negative number of people, the answer is 0.

3. 210 people attended at least two of these games.

4. 340 people attended the Marist and Butler games, but not the North Carolina State game.

5. 365 people attended the North Carolina State or the Butler game

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The expansion of 1/4(x - 12) is x/4 - 3

In order to expand and simplify an expression, we need to multiply out the parentheses and then simplify the resulting expression by collecting the like terms. Expanding brackets (or multiplying out) is the process by which we remove parentheses. It is the reverse process of factorisation.

For example 4(3-y) can be expanded by multiplying the factor 4 by 3 and y = 12- 4y

Similarly the expression 1/4(x - 12) can be expanded by firstly multiply the factor ¼ by x and 12

therefore 1/4(x - 12) = 1/4×x -12×1/4

= x/4 - 3

Therefore the expansion of 1/4(x - 12) is x/4 -3

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The number of large box is 12 and small box is 8.

What is cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.

Given :

The volume of small box is 9 cubic feet

The volume of the large box is 12 cubic feet

The volume of all box is 216 cubic feet

There are 20 boxes of paper shipped.

Total Volume covered by small box will be  9x

Total Volume covered by large box will be 24x

Total volume shipped = 216

9x + 24x  = 216

33x = 216

x = 6

So The number of large box is 12 and small box is 8.

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Answer:

42 is the answer

Step-by-step explanation:

for distributive property of multiplication you could use...

2 x 3 x 7

as 3 x 7 is 21

Answer: 30%

Step-by-step explanation:

because e9 people are chosen and 9 divided by 3 is 3 and 3 x 10 =30