You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
then sell the slices for $1.75 each. How many pieces would you have to sell to to pay
for the original cost of the 4 pizzas?

A scatter plot, because it would show the association, or relationship, between the two variables

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

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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Answer:

$6900

Step-by-step explanation:

Lets find 15% of 6000 first.

6000 x 15% = 900

So just add 900 now to 6000

6000 + 900 = 6900

Hope this helps!

Answer:

6900

Step-by-step explanation:

first you get 6000 times 15

then you get 900 and then add that to the 6000

in order to get 6900

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

2 or -2

Step-by-step explanation:

-6x2=-12 or -6x-2=12

Answer:

It would be a negative or positive 2

Step-by-step explanation:

girl=16

boy=18

picking a girl at random

the answer is = 1/16

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Step-by-step explanation:

18/x is the same as 18•x-¹

derivative of ax^n=n•ax^n-1

derivative of 18•x-¹= -1•18•x-²

= -18x-² which is the same as -18/x²

hence 2-18/x²

Answer:

75.36

Step-by-step explanation:

bc it sinple math if you think about it

Answer:

y = 3x + 10

Step-by-step explanation:

Answer:

im pretty sure it is (0,5) or (10,0)

Step-by-step explanation:

Answer:

The minimum sample size should be of 381.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Without any prior knowledge of the proportion, what should be our minimum sample size

We dont know the population proportion, so we use \(\pi = 0.5\), which is when the largest sample size is needed. We have to find n for which \(M = 0.05\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.95\sqrt{\frac{0.5*0.5}{n}}\)

\(0.05\sqrt{n} = 1.95*0.5\)

\(\sqrt{n} = \frac{1.95*0.5}{0.05}\)

\((\sqrt{n})^2 = (\frac{1.95*0.5}{0.05})^2\)

\(n = 380.25\)

Rounding up

The minimum sample size should be of 381.

Therefore by solving the equations we get to know that 196 children and  200 adults were present on that day.

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Let's initially configure our system by giving the letters x and y meanings. Assume x is the number of kids and y is the number of adults.

Children are priced at $1.50, while adults are priced at $4.00. We multiply the total number of children, x, by 1.5 to get how much each child will cost. 1.5x is used to indicate this. We will use 4y for adults, whose entry fee is $4. On the specified day, $1094 in total revenue was earned. This sum requires the addition of 1.5x and 4y.

1.5x + 4y = 1094 works for the money equation involved.

Second equation: The total number of individuals present on the day is 283. X and Y, or the number of children and adults, must be added together to arrive at this figure.

x + y = 396

System of equations:

1.5x + 4y = 1094

x +   y = 396

Thus,

x + y = 396  

y = 396- x

Substitute y = 396 - x into the first equation.

1.5x + 4 (396 - x) = 1094

1.5x + 1584 - 4x = 1094  

1584 - 2.5x = 1094      

-2.5x = -490                  

x = 196

Substitute x =196 back into y = 396 - x

y = 396 - 196 = 200

Therefore by solving the equations we get to know that 196 children and  200 adults were present on that day.

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The probability that each guest got one roll of each type is 3/1, which is a fraction with a numerator of 3 and a denominator of 1. Since the numerator and denominator are relatively prime integers, the value of m + n is 3

The equation for the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers.

We can expand this equation to

m/n

= 3/1.

Since the numerator and denominator are relatively prime integers, we can solve for m + n by multiplying both sides of the equation by 1.

Multiplying both sides of the equation by 1 gives us

m + n = 3.

Therefore, the value of

m + n is 3.

Let m = numerator and n = denominator in the probability of m/n.

Given that each guest got one roll of each type, the probability is m/n.

The numerator and denominator are relatively prime integers, so m and n have no common factors.

Therefore,

m + n = 3.

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Answer:

x ≈ 10.4

Step-by-step explanation:

using the tangent ratio in the right triangle

tan41° = \(\frac{opposite}{adjacent}\) = \(\frac{9}{x}\) ( multiply both sides by x )

x × tan41° = 9 ( divide both sides by tan41° )

x = \(\frac{9}{tan41}\) ≈ 10.4 ( to the nearest tenth )

Answer:

x=10.34

Step-by-step explanation:

tanФ=opposite ÷ adjacent

tan41°=9/x

0.87=9/x

x=9/0.87

 =10.34

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The point-slope form that passes through (4, -3) and (2, 1) is y+3 is −2(x−4). A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The slope of the line and any points on the line determine the point-slope form of a line. When given a point on the line and the slope, the form's purpose is to describe the equation of the entire line.

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2)  is given by m = y2−y1 / x2−x1

We have that x1=4, y1=−3, x2=2, y2=1.

Plug the given values into the formula for slope: m = (1)−(−3)/(2)−(4)

=4−2 =−2.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−3−(−2)⋅(4)=5.

Finally, the equation of the line can be written in the form y=mx+b.

y=−2x+5.

The slope of the line is m=−2.

The equation of the line in the slope-intercept form is y=−2x+5.

The equation of the line in the point-slope form is y+3=−2(x−4).

The equation of the line in the point-slope form is y−1=−2(x−2).

The general equation of the line is 2x+y−5=0.

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Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4

Discuss measures that can be taken to develop the spirit of hard work

Answer:

Yes, SSS

Step-by-step explanation:

Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.

Refer to the attachment

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The period of a sinusoidal graph is the distance between two consecutive peaks or troughs of the graph. From the given graph, we can see that the graph completes one full cycle from x = 0 to x = 2π. Therefore, the period of the graph is 2π.

The period of a sinusoidal graph is the distance between two consecutive peaks or troughs of the graph. It can be determined by calculating the length of one complete cycle of the graph.

The period of a sinusoidal graph tells us how often the function repeats itself. It is an important characteristic of the function that can help us analyze its behavior and make predictions about its future values.

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answer is 9

Change the sign of the exponent by rewriting the base as its reciprocal

3^2

raise 3 to the power of 2

you get 9

Answer:

inverse of \(\sqrt{x}\)-3 :  x^2 +3

Step-by-step explanation:

y=\(\sqrt{x-3}\)

x=\(\sqrt{y-3}\)

y=\(x^{2}\)+3

\(x^{2}\)+3

The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.

We need to complete the grouped frequency distribution for the data.

In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.

Now, the frequency distribution for the given intervals is as follows:

That is, for intervals 1 to 5 the frequency is 2.

For intervals 5 to 10 the frequency is 4.

For intervals 11 to 15 the frequency is 2.

For intervals 16 to 20 the frequency is 2.

Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

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Given parameters:

    First move = 100m east

    Second move  = 50m west

Unknown:

Distance = ?

Displacement  = ?

Solution:

Distance is total path length covered

Displacement is the distance in a specific direction from start to finish.

            -----------------------→

                       100m

                            ←---------

                               50m

So,

        Distance  = first move + second move  = 100 + 50  = 150m

       Displacement  = 100 - 50  = 50m due West

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Solution of equation 2x = 6 is x = 3.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given equation,

2x = 6

Dividing with 2 on both sides,

2x/2 = 6/2

Simplifying

x = 3

Hence, x = 3 is the solution of equation 2x = 6.

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Answer:

\(12.3 \times 10^15\)

ur answer.....

.