is 9.94 a rational number or a irrational

\(\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}\)

\(\Huge \textsf{Step-by-step explanation}\)

\(\LARGE \bold{\textsf{Step 1: Assign Variables}}\)

\(\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}\)

\(\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}\)

\(\large \bold{ \textsf{From the problem, we know that:}}\)

\(\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}\)

\(\large \bold{ \textsf{We can use this information to write two equations:}}\)

\(\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}\)

\(\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}\)

\(\LARGE \bold{\textsf{Step 3: Solve the system of equations}}\)

\(\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}\)

\(\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}\)

\(\large \textsf{Simplifying this expression gives us:}\)

\(\textsf{10\textit{p} + 10 = 260}\)

\(\large \textsf{Subtracting 10 from both sides:}\)

\(\textsf{10\textit{p} = 250}\)

\(\large \textsf{Dividing both sides by 10}\)

\(\textsf{\textit{p} = 25}\)

\(\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}\)

\(\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}\)

\(\large \textsf{So, 25 pizzas and 80 sodas were sold.}\)

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

The correct option is (b) all dots lie on the regression line.

What is regression line?

A regression line is a straight line that is used to model the relationship between two variables in a linear regression analysis. It is also known as the line of best fit, because it represents the line that minimizes the sum of the squared distances between the observed data points and the predicted values of the dependent variable based on the values of the independent variable.

The correct option is (b) all dots lie on the regression line.

If all dots lie on the regression line, it means that there is a perfect linear relationship between the variables, and one variable can be perfectly predicted from the other. This indicates a strong association between the variables, with no variability or error in the relationship.

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The correct answer is (O C) The first coordinate of each ordered pair is always less than the second coordinate.

To determine if this statement is true, let's analyze the given points and their coordinates:

Point A: (-3, 7)

Point B: (0, -3)

Point C: (6, 1)

We can see that for each point, the first coordinate (x-coordinate) is indeed less than the second coordinate (y-coordinate). Let's verify this for each point:

For Point A: (-3, 7), -3 < 7

For Point B: (0, -3), 0 < -3

For Point C: (6, 1), 6 < 1

In all three cases, the first coordinate is indeed less than the second coordinate. Therefore, the statement that the first coordinate of each ordered pair is always less than the second coordinate is true for the given set of points.

This statement implies that the points do not lie on a straight line with a constant slope, as the slope of a linear function would result in a consistent relationship between the x-coordinate and the y-coordinate. In this case, the coordinates do not exhibit such a consistent relationship, indicating that they do not represent a linear function.

Hence, the correct statement about the graph of these points is (O C) The first coordinate of each ordered pair is always less than the second coordinate.

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Answer:

the answer is b ( if im wrong im sorry)

Step-by-step explanation:

Answer:

-8y = 3x

Step-by-step explanation:

Answer:

B. Yes, he qualifies. He would pay $65.18 after the discount.

Step-by-step explanation:

86.90x25%=21.72

86.90-21.72=65.18

Answer:

1/16

Step-by-step explanation:

This means 1/2x2x2x2  = 1/16

Answer:

x = 1/5

Step-by-step explanation:

yeah-ya........ right?

Answer:

m = 1/2

Step-by-step explanation:

(-5,-4) (5,1)

(-4-1)/(-5-5)

= -5/-10

= 1/2

Answer: 3835 Yards

Step-by-step explanation:

This is a simple problem

First, take 295 and multiply by 13

like so: 295x13

This will result in

3835 yards

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

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We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.

First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.

Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.

We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.

Assume that x mL of water needs to be added.

The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.

The equation for the ultimate concentration can be written as follows:

1.96 mL / (14 + x) mL = 0.07

When we find x and simplify, we get:

x = (1.96 mL / 0.07) - 14 mL

x ≈ 14.86mL

In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.

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The probability that the high school athlete chooses to play football in North Carolina can be calculated by dividing the number of football offers in North Carolina by the total number of football offers he has received.

The athlete has received 3 football offers in Alabama, 3 in North Carolina, and 2 in Florida. Therefore, the total number of football offers is 3 + 3 + 2 = 8.

To calculate the probability of choosing football in North Carolina, we need to divide the number of offers in North Carolina (3) by the total number of offers (8). So the probability is 3/8.

The probability that Erik sets the combination of his lock as 4-3-9 can be calculated by dividing the number of favorable outcomes (1) by the total number of possible outcomes.

Since each dial has 10 possible numbers (0 through 9), the total number of possible combinations is 10 * 10 * 10 = 1000.

There is only one favorable outcome, which is the combination 4-3-9.

Therefore, the probability of Erik setting the combination as 4-3-9 is 1/1000.

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

18:10 is equivalent to 9:5

Step-by-step explanation:

half of 18 is 9 and half of 10 is 5

Answer:

9:5

Step-by-step explanation:

18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.

Answer:

Option C is correct

Step-by-step explanation:

\(y−6=−4(x+1) \\ \)

\(y−6=−4x−4 \times 1\)

\( y−6=−4x−4 \)

\(y=−4x−4+6 \)

\(y=−4x+2\)

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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Second option is correct

The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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When summarizing heavily skewed data, the best measure of central tendency is the median.

In situations where the data distribution is heavily skewed, the mean may not accurately represent the central tendency of the data. Skewness refers to the asymmetry of the data distribution, where the tail of the distribution extends more to one side. When data is heavily skewed, it can be influenced by extreme values, leading to an unbalanced representation of central tendency if the mean is used.

The median, on the other hand, is less affected by extreme values and provides a better measure of central tendency for skewed data. The median represents the middle value in a data set when the observations are arranged in ascending or descending order. Unlike the mean, it is not influenced by extreme values, making it a robust measure for summarizing skewed data.

By using the median, we can capture the central value that is more representative of the majority of the data points, even in the presence of outliers or skewed distributions. It provides a better understanding of the typical value or position within the data set, regardless of extreme values or asymmetric distributions.

Therefore, when summarizing heavily skewed data, the median is considered the best measure of central tendency as it provides a more accurate representation of the center of the distribution and is less influenced by extreme values.

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Answer:

Step-by-step explanation:

1) 76*.67 = 50.9

   73 * .33 = 24.1

75% = C

2) .3 * 71 + .3*77+ .4*98=

  21.3+23.1+39.2 = 83.6

83.6 = B

3) 73.24  vs.  68.55

hw   88 22 13.2

cp   84 8.4 8.4

test  59 23.6 35.4

fe  77 19.25  11.55

             tats      ester

totals = 73.24    68.55

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Therefore , the solution of the given problem of surface area comes out to be 46.80909  inch square.

The amount of space it occupies on the surface is a decent indication of its overall size. The complete surroundings is taken into account when calculating the area of a tri shape. Something's total size is determined by its surface area. The volume of water inside a cuboid is equal to the total of the volumes on each and every six of its rectangular sides. To calculate the box's measurements, use the formula below: In 2lh, 2lw, and 2hw, the region is identical (SA). The surface area of the multipurpose shape represents the region.

Here,

Given :

Length = 5 inches

Width = 3 inches

and

height = 2.5 inche

To find the total surface area for triangular prism

=>A=ah+bh+ch+1/2 √﹣a⁴ +2(ab)² +2(ac)²﹣b⁴+2(bc)² c⁴

=> 5·2.5+3·2.5+5·2.5+1/2√﹣5⁴+2·(5·3)²+2·(5·5)²﹣34+2·(3·5)²54

=> 46.80909 inch square

Therefore , the solution of the given problem of surface area comes out to be 46.80909  inch square.

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Answer: I think it's 0

g(x)=7x

Now

\(\\ \sf\longmapsto g(x)>28\)

\(\\ \sf\longmapsto 7x>28\)

\(\\ \sf\longmapsto x>\dfrac{28}{7}\)

\(\\ \sf\longmapsto x>4\)

Step-by-step explanation:

we have

g(x)=7x

We have to find the value of x when g(x) > 28.

\(\longrightarrow g(x)>28\\\\\longrightarrow 7x> 28\\\\\longrightarrow x> \dfrac{28}{7}\\\\\dashrightarrow x> 4 \)

Answer:

A. f(2)=−6

B. f(4)=−2

C. f(-3)=19

Step-by-step explanation:

a) f(x)=x^2-4x-2

f(2)=2²−(4)(2)−2

f(2)=2²−(4)(2)−2

f(2)=4+−8+−2

f(2)=(4+−8+−2)(Combine Like Terms)

f(2)=−6

b) f(x)=x^2-4x-2

f(4)=4²−(4)(4)−2

f(4)=4²−(4)(4)−2

f(4)=16+−16+−2

f+4)=(16+−16+−2)(Combine Like Terms)

f(4)=−2

c) f(x)=x^2-4x-2

f(-3)=(−3)²−(4)(−3)−2

f(-3)=(−3)²−(4)(−3)−2

f(-3)=9+12+−2

f(-3)=(9+12+−2)(Combine Like Terms)

f(-3)=19

Answer:

To express the quadratic expression x^2 - 5x + 8 in the form of (x - a)^2 + b, we need to complete the square. To do this, we can add and subtract the square of half the coefficient of the x term. In this case, that would be (1/2)(-5) = -5/2. Therefore, we add and subtract (1/2)(-5)^2 = (-5/2)^2 = 25/4 to get:

x^2 - 5x + 8 = (x^2 - 5x + (25/4)) + (8 - (25/4))

Next, we need to add and subtract 25/4 in such a way that we can factor the quadratic expression as the square of a binomial. To do this, we add 25/4 to the first term and subtract 25/4 from the second term to get:

x^2 - 5x + (25/4) + (8 - (25/4)) = (x^2 - 5x + 25/4) + (8 - 25/4)

Now we can factor the quadratic expression as the square of a binomial:

(x^2 - 5x + 25/4) + (8 - 25/4) = (x - 5/2)^2 + (8 - 25/4)

Therefore, we can express x^2 - 5x + 8 in the form of (x - a)^2 + b where a is -5/2 and b is 8 - 25/4.

Note that the values of a and b are not whole numbers because we added and subtracted a fraction when completing the square.

We can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

Given is to factor the expression as -

7x²y³ + 56x³y²

The given expression is -

7x²y³ + 56x³y²

Factoring it, we get -

7x²y {y² + 8x³}

Therefore, we can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

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