Paul and Betty are setting up a business to decorate skateboard decks. it costs $200 to hire the equipment and facilities. It costs an additional $20 for the paints for each board. They charge $50 to decorate a board. What is the cost equation in the form C = mx + c?What is the revenue equation in the form R = mx + c? at breakeven, cost = revenue how many boards do they need to decorate in order to break even?

Answer:

B

Step-by-step explanation:

It was right for me

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

Bargain Busters shop sells the cheapest soup

Step-by-step explanation:

Bargain Busters sell 4 cans of soup for £3.76

Bargain Busters sell 1 cans of soup for

3.76÷4

=0.94

cost cutters sell 3 cans of soup for £2.85

cost cutters sell 1 cans of soup for 2.85÷3

=0.95

so

Bargain Busters<cost cutters

0.94<0.95

therefore

Bargain Busters shop sells the cheapest soup

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Condtional : if an angle is a right angle, then its measure is 90 degrees

Converse: If the measure of an angle is 90 degrees, then its a right angle triangle

Since, both the conditional statement and convere statement are true, then the bioconditional is also true

For bioconditional statement to be true, both the conditional statement and the converse statement must be true

The area of a triangle is 20 inches².

The area of a triangle:

The area of a triangle is equal to half the product of the base and its height.

The formula for the area of a triangle = 1/2 × base × height

Here the base = 10 inches

height = 4 inches

Area = 1/2 × 10 × 4

       = 10×2

       = 20 inches²

Therefore the area of a triangle is 20 inches².

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The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

-7/12

Step-by-step explanation:

-5-2 = -7    y

and

8- (-4)=12    x

Answer:

slope = -1/4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-5-(-2))/(8-(-4)

m = -3/12

m = -1/4

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The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Answer:

Step-by-step explanation:

There are an infinite amount of possibilities with the solution of (4,1).  As proof, plot the point (4,1) on a coordinate system.  Then, draw straight lines that pass through that point.  These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.

x = 4

y = 1

x + y = 5

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Answer:

8.1875

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

1. An equation that represents "the amount of tax on an item of price p",

t = p x X / 100

2. Marta does pay on an item whose price is $20, $1.6

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Tax rate = 8%

1. Let's assume that the sales tax rate is X%.

Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:

t = p x X / 100

2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:

t = $20 x X / 100

t = $20 x 8 / 100

t = $1.6

So, Marta pays $1.6 in sales tax on an item whose price is $100.

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Answer:

1. 0.45

2. 0.30

3. 0.583 with a bar over 3

4. 0.80

5. 0.6 with a bar over 6

6. 0.83 with a bar over 3

7. 0.16 with a bar over 6

8. 0.9375

9. 0.13 with a bar over 3

10. 0.36 with a bar over 36

11. 0.625

12. 0.8125

13. 0.12

14. 0.4 with a bar over 4

15. 0.8 with a bar over 8

16. 0.6875

17. 0.56

18. 0.73 with a bar over 3

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The solutions are all real numbers x such that \($$\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16} \qquad \text{and} \qquad \frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}.$$\)

This is equivalent to

\($$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$\)

Solving for $x$, we get

\($$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$\)

1. We are given the inequality\($\frac{5}{24} \left|x-\frac{11}{48}\right| < \frac{5}{16}$.\)

2. To solve for $x$, we must first rewrite the expression in terms of two inequalities. We do this by separating the absolute value into two parts: \(\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16}$ and $\frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}$.\)

3. Next, we solve each inequality for $x$. We get \(-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}$.\)

4. Finally, we solve for $x$ and get the solution set \(\frac{13}{48} < x < \frac{25}{48}$.\)

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Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

∠ACB is a right angle

Graph:

Answer:

12 × 1/3 = 4

the average player hits 4 home runs.

Answer:

2.449489743

Step-by-step explanation:

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The value of sec(V) is 5/3

The tangent is given as:

tan(V) = 4/3

To solve for sec(V), we use the following identity

sec^2(V) = tan^2(V) + 1

So, we have:

sec^2(V) = (4/3)^2 + 1

This gives

sec^2(V) = 16/9 + 1

Evaluate the sum

sec^2(V) = 25/9

Take the square root

sec(V) = 5/3

Hence, the value of sec(V) is 5/3

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Answer:

Step-by-step explanation:

The pats of the circle R required are:

1. A circle - ABCD

2. Four radii - AR, BR, CR, and DR

3. Two diameters - AB and CD

4. Two tangents - GA and TB

5. A chord - BC

6. Two secant each containing a diameter - ARB and CRD

7. The longest chord - AC = DB

8. Two points of tangency - A and B

9. Four minor arcs - AC, CB, BD, DA

10. Four major arcs - AB, BA, CD, DC

The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.

Step-by-step explanation:

The numbers located to the right of the position are greater than -3.27 so option (c) is correct

A number line is a horizontal line that has equally spread number increments

On a number line, -3.27 is located to the left between -4 and -3.

Moving to the left of its negative number like -4.

Moving to the right of it is a larger negative number moving towards positive.

Hence if we locate to the right from -3.27 we get a greater number than -3.27 located right to the -3.27. From the given option -3.157 is the number

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The original numbers multiplied by 10² are:

968

0.002

3.33

When a number is multiplied by 10², the position of the decimal point will move to the right by 2 steps. If the number does not have decimal point, two zeros is added to the back of the number .

6 * 10³  = 6,000

968 * 10² = 96,800

0.002 * 10² = 0.2

70,000 ÷ 10² = 700

3.33 * 10² = 333

Thus, the original numbers multiplied by 10² are 968, 0.002 and 3.33

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