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$0.04  is the unit price (per ounce) for the sports drink.

A division is a process of splitting a specific amount into equal parts.

Given that  local grocery store is having a sale on sports drinks.

For a particular brand of sports drink, a 6 -pack of 20 -ounce bottles costs $4.96

We need to find the the unit price (per ounce) for the sports drink.

6×20

120 ounce bottles in total which cost $4.96.

Now 4.96/120 is the cost of each bottle

$0.04 is the unit price of the sport drink.

Hence, $0.04  is the unit price (per ounce) for the sports drink.

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The fraction that satisfies the problem is 20/24.

Equivalent fractions are fractions that have the same value, but different numerators and denominators.

If the fraction is equivalent to 5/6, then the numerator and denominator of the fraction is a multiple of 5 and 6, respectively.

Let x be the factor

fraction = 5x / 6x

If the sum of my numerator and my denominator is 44, then:

5x + 6x = 44

11x = 44

x = 4

fraction = 5x / 6x = 20/24

The final statement says that the sum of the digits in the denominator is 6.

2 + 4 = 6

Hence, the fraction is 20/24.

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[tex]a < 6\to \begin{cases} 0\\ 1\\ 2\\ 3\\ 4\\ 5 \end{cases}\hspace{5em}b < 6\to \begin{cases} 0\\ 1\\ 2\\ 3\\ 4\\ 5 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2a-ab\implies a(2-b)[/tex]

now, in the expression above, if we set a = 0, we land on 0, if we set b = 2, we land on 0 again, and 0 is the least of all positive integers.

Using the graph of the function, the value of f(4) is 6.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

The set of inputs is called the domain of the function, and the set of outputs is called the codomain. A function maps each input to exactly one output, so it is also sometimes referred to as a mapping.

Using the graph, the value of f(4) can be found by checking for the value y when x = 4. Check the attached image.

Therefore, the value of f(4) is 6

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The measure of the arc in degrees is 137.50°

An angle is said to have a measure of 1 radian if it is subtended at its center by an arc of lengths 1 unit in a unit circle. "rad" is the sign used to represent the radian unit of measurement.  

Here we have

An arc of a circle that measures 2.4 radians.  

We need to find the measure in degrees  

As we know 1 radian = 180°/π

2.4 radians = [ 180/π ] × 2.4 degrees  

= [57.324] × 2.4

= 137.57°  ( approx)    

Therefore,

The measure of the arc in degrees is 137.50°

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Answer:

4, -2, and -5.

Step-by-step explanation:

All the real solutions of f(x) = 0 are 4, -2, and -5.  We know y = f(x) and f(x) = 0.  So, we can conclude that y = 0.  When y = 0, it means there isn't a point that moves up or down the y axis (vertically).  The point would only move horizontally.  When looking at the points on the x-axis, we see 4, -2, and -5.  Those are on the x-axis and haven't moved vertically.  So, the coordinates for those points would be 4, 0, -2, 0, and -5, 0.  Remember, y = 0, and 4, -2, and -5 all have a zero in the y value.  Therefore, the answer is 4, -2, and -5.

10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.

In math, a linear equation one of that of the form y=mx+b. The slope is B, and the una is m. As y and x are variable, the previous statement is frequently referred to as a "system of equations with 2 variables." Bivariate linear equations are logistic equations with two or more variables. Formulas can be found in various locations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When such an equation has had the structure y=mx+b, where m represents the slope and b its y-intercept, it is known to as being linear. A model formula is said to be cubic if its solution seems to have the form y=mx+b, wherein m stands for the gradient and b for the y-intercept.

3x + 4y = 38

x + y = 12 ( Multiply by -3)

Hence

3x + 4y = 38

-3x - 3y = -36

Add

y = 2

In the case where y = 2

x = 12 - y

x = 12 - 2

x = 10,

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Answer:

Step-by-step explanation:

A.) To find out how many pages Celina reads per minute, you would have to divide 16 by 8 = 2.

B.) Now that we know she reads two pages every one minute, we are able to calculate how many minutes it takes her to read one. You need to divide 2 by 2 = 1.

A.) = 2

B.) = 1

Answer:

  A  { y | y ∈ ℝ, y ≠ -4, -3 }

Step-by-step explanation:

You want to know the range of the function shown in the graph.

The range is the vertical extent of the graph, the set of possible function output values.

Here, the function approaches the horizontal asymptote y = -3, but never has that output value. The "hole" at (5, -4) means the function never has the output value -4, either.

The range is all real numbers (ℝ) except -4 and -3.

Answer: Let's denote the length of the candle on day 1 as L.

On day 2, the length of the candle is L/2, on day 3 it is L/2^2, on day 4 it is L/2^3 and on day 5 it is L/2^4.

So, on day 5, the length of the candle is L/2^4 = L/(222*2) = L/16.

Given that the length of the candle on day 1 is 18 inches, we have:

L = 18

And the length of the candle on day 5 is:

L/16 = 18/16 = 9/8

So, the length of the candle on day 5 is 9/8 inches.

Step-by-step explanation:

The transformations of the triangle ABC to A'B'C' are (a) and (e)

From the question, we have the following parameters that can be used in our computation:

ABC = (-6, 2), (-4, 6) and (-2, 2)

Rotate the triangle by 180 degrees

So, we have the following representation

Image 1 of ABC = (6, -2), (4, -6) and (2, -2)

Translate the triangle 1 units left

So, we have the following representation

A'B'C' = (5, -2), (3, -6) and (1, -2) ---- option (a)

Another possible sequence is as follows

Reflect the triangle across the x and y axes

So, we have the following representation

Image 1 of ABC = (6, -2), (4, -6) and (2, -2)

Translate the triangle 1 units left

So, we have the following representation

A'B'C' = (5, -2), (3, -6) and (1, -2) ---- option (e)

Hence, the transformations are (a) and (e)

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The three-digit palindromes that can be created using the digits are 16 numbers.

A word, number, phrase, or other group of characters that reads the same backwards as it does forwards is called a palindrome. Examples include the words "madam" or "racecar," the date and time 12/21/33 12:21, and the phrase "A man, a plan, a canal — Panama."

The three-digit palindromes are of the form: ABA.

Here, A can be selected in 4 ways.

Digits can be repeated hence, B can be selected in 4 ways.

The last A is the same number as the first A, hence the selection is 1 way.

The number of three digits palindrome that we can form is:

(4)(4)(1) = 16 ways

Hence, the three-digit palindromes that can be created using the digits are 16 numbers.

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The perfect square trinomial is 4x² - 4x + 1. The correct answer would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in option (A), as follows:

4x² - 4x + 1

(2x)² - 2 × 2x × 1 + 1²

Compare to the formula a² - 2 × a × b + b² = (a - b)², and we get

(2x - 1)²

Thus, this is a perfect square trinomial.

Hence, the correct answer would be an option (A).

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The required solution of the given equation is x = -7.

"Multi-step equation" means an equation that requires more than one step to be solved.

"Like terms" refers to terms that have the same variables raised to the same powers. In this equation, there are no like terms, so no simplification of the equation is needed in that regard.

"Negative coefficients" refers to the fact that some of the coefficients in front of the variables in the equation are negative. For example, in this equation, the coefficient of x is -3, and the coefficient of -9 is also negative.

To solve this equation, you can simplify both sides by combining like terms:

-9 + x -3x = 5

-9 - 3x + x = 5

-9 - 2x = 5

Next, isolate the variable on one side of the equation by adding 9 to both sides:

-9 - 2x + 9 = 5 + 9

-2x = 14

Finally, divide both sides by -2 to find x:

(-2x) / -2 = 14 / -2

x = -7

So the solution is x = -7.

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Answer:

Step-by-step explanation:

Hope this helps : )

The values of the variables are -4 and -9

From the information given, we have the equations:
y = 2x - 1

y = x -5

Now, from substitute the value of y in equation 2 to equation 1, we get;

x - 5 = 2x -1

collect the like terms

x -2x = -1 + 5

Add or subtract the like terms

-x = 4

Make 'x' the subject

x = -4

Substitute the value into equation 2

y = -4 - 5

y = -9

Then, the values are-4 and -9

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The perimeter of the 6-sided shape given the length and width of the rectangle is 48 cm

The perimeter of a rectangle= 2(length + width)

Length of the rectangle= 7 cm

Width of the rectangle= 5 cm

The perimeter of a rectangle= 2(length + width)

= 2(7 + 5)

= 2(12)

= 24 cm

The 6-sided shape is the combination of two rectangles

So,

Perimeter of the 6-sided shape = 24 cm + 24 cm

= 48 cm

Therefore, the 6-sided shape has the perimeter 48 cm.

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The answer to the expression 2b x b is simply 2b^2. Exponentiation is a mathematical operation that raises a number to a power, and in this case, b is raised to the power of 2.

Alternatively, if exponentiation is not allowed, the answer to the expression is simply 2b * b, which can be simplified to 2b^2 as well.

So, the answer to the expression 2b x b is 2b^2, regardless of whether or not exponentiation is used.

The expression 2b x b represents the product of two scalars, 2 and b, multiplied by a scalar b.

The expression could represent a variety of quantities in mathematics and science, including the area of a rectangle, the volume of a cube, or the kinetic energy of an object, among others.

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Answer:

60%

Step-by-step explanation:

The new mandated change is, grade 4N's physical education class will end at 2:23 PM.

Physical education for grade 4N typically lasts 30 minutes and begins at 1:43 PM and concludes at 2:13 PM (2:13 PM - 1:43 PM).

Let's assume that the newly required adjustment extends the end of the class by 10 minutes, making the time change (c) 10 minutes.

Adding the time modification to the existing end time will yield the new end time:

2:13 PM + 10 minutes = 2:23 PM

So, with the new mandated change, grade 4N's physical education class will end at 2:23 PM.

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Answer:

If we remove 9 from the data set, the mean reduces by 0.5 from 6 to 5.5

Step-by-step explanation:

Answer
If we remove 9 from the data set, the mean reduces by 0.5 from 6 to 5.5

The required correct values for A, B, and C is 9, 52, and 130 respectively.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Since a standard piano has a ratio of white to black keys is given as,
= 91/63
= 13/9

Now,
13/A =91/63
A = 9

Similarly,
B = 52

C = 130

Thus, the required correction values for A, B, and C is 9, 52, and 130 respectively.

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Answer: i think its 9

Step-by-step explanation:

Answer:

the answe is defenitly -3

Answer:

a) 16, b) 16

Step-by-step explanation:

1. Find f. Plug in 2 for x.

[tex]2^{2} +6(2)=16.[/tex]

2. Find g by performing the same action.

2-1=1.

3. Now that we have f and g, we can multiply them.

[tex](fg)(2)=16(1)=16.[/tex]

a) is 16.

4. b) is (gf)(2)=1(16), which is still 16.

b) is 16.

15% of the students scored higher than Henry on the accounting exam.

Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.

So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.

Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.

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The correct inequality which describes the problem is,

⇒ x - 4.3 < 6

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Chad's phone plan includes a certain amount of data each month.

And, he has used 4.3 gigabytes of data. He has less than 6 gigabytes of data left for the rest of the month.

Now, Let x represent how many gigabytes of data are included in Chad's phone plan each month.

Hence, The correct inequality which describes the problem is,

⇒ x - 4.3 < 6

⇒ x < 6 + 4.3

⇒ x < 10.3

Thus, The correct inequality which describes the problem is,

⇒ x - 4.3 < 6

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Answer:

Here:

4065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837

Answer:

Step-by-step explanation:

x = # of adults

y = # of students

6x + 4y = 72

x + y = 12