The Spirit Club buys shirts in bulk for $8 each. They mark up the shirts 75% to sell in the school store. At the end of the year, they sell the shirts for 25% off. How much profit does the Spirit Club make on each shirt at the end of the year? Show your work


Write the work down step by step, math involved.

Answer:

Customers are charged $0.003 per gallon of water used.

Step-by-step explanation:

In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.

Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.

A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.

In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.

In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.

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Part A. The calculated correlation coefficient is incorrect.

Part B. A causal relationship for strawberries picked on the farm is the relationship between rainfall and number of strawberries picked.

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.

Given,

Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated.

Observing the scatter-plot, the data is moderately correlated,  as the days increase, the number of strawberries also increase, following upward trend,

r = 0.01 means that 1% of the variation in y is explained by the variation in x.

that means both quantities are very weakly correlated.

but the scatter-plot shows otherwise, so r = 0.01 is not an accurate value for the data.

Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm.

A causal relationship exists when one variable in a data set has a direct influence on another variable. Thus, one event triggers the occurrence of another event. A causal relationship is also referred to as cause and effect.

Here, rainfall could be reasonable variable that can effect the number of strawberries picked. when there is heavy rainfall, strawberries picked will be less.

Thus, the scenario could be:

Amount of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

      50                                                      40

      25                                                      80

     12.5                                                    160

     6.25                                                   320

The amount of rainfall is a cause that affect the number of strawberries picked.

Hence,

The calculated correlation coefficient is false.

Another causal relationship for strawberries picked on the farm can be of rainfall in mm and number of strawberries picked on the farm.

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The distance from Philadelphia to Outer Banks is given by A = 10.294 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance on the map be represented as

1 inch = 50 miles

So , the distance between Philadelphia to Outer Banks is = ( 7 / 34 ) inches

And , the distance between Philadelphia to Outer Banks = ( 7/34 ) x 50 miles

On simplifying the equation , we get

The distance between Philadelphia to Outer Banks A = 0.20588 x 50

The distance between Philadelphia to Outer Banks A = 10.294 miles

Hence , the distance is 10.294 miles

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Answer:

D) Several planets will be very small and difficult to represent.

Terminal point is a term used in mathematics to describe the endpoint of a line segment. It is the point at which the line or curve terminates or comes to an end. It is important to note that a terminal point is not necessarily the same as a vertex or an intersection point; the terminal point is simply the endpoint of the line segment, the point at which it begins and ends.

For example, the terminal points of a line segment that connects the points (3, 5) and (7, 9) are (3, 5) and (7, 9). The line segment does not terminate at any other point.

The reference number is 41, and the given formula is t = 6π.

Therefore, 6π = 41

π = 41/6

π ≈ 6.83

The terminal point is determined by the given formula (r cos θ, r sin θ).

Since r = 1, substitute the values for θ and r into the formula:

(1, cos 6.83, 1, sin 6.83) = (3.5, 2.5)

Therefore, the terminal point determined by the given reference number t = 41 is (3.5, 2.5).

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=9/2

According to me when you simplify these numbers on the calculator it gave me 9/2.

Problem: (3/2) + (3/2) + (3/2) = unknown value, times  (1/2)

Solution:

First, we can simplify the left side by adding the fractions:

(3/2) + (3/2) + (3/2) = 9/2

Next, we can divide both sides by (1/2) to solve for the unknown value:

(9/2) ÷ (1/2) = 9

Therefore, the answer is 9.

The correct diagnosis code to report a tibial closed fracture, a proximal end, of the left leg, the initial encounter is A.S82.191A.

Explanation:

Diagnosis codes are used to accurately report a patient's condition or injury. The code S82.191A specifically refers to a closed fracture of the proximal end of the tibia on the left leg, with this being the initial encounter for treatment.

The other options, S82.191B, S82.102A, and S82.102B do not accurately describe the condition or injury in question. S82.191B refers to a subsequent encounter for the same injury, while S82.102A and S82.102B refer to a closed fracture of the right leg's upper end of the tibia.

Therefore, the correct answer is A.S82.191A.

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The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x, y) = (3/2x, 3/2y) to create quadrilateral R'S'T'V'.

Here, All the coordinates of vertex of Quadrilateral RSTV are,

R = (- 3, - 2)

S = (- 2, 3)

T = (2, 2)

V = (3, - 1)

Hence, By applying rule we get;

All the coordinates of vertex of Quadrilateral R'S'T'V' are,

R' = (- 3 × 3/2, - 2× 3/2) = (- 9/2. - 3)

S' = (- 2 × 3/2, 3 × 3/2) = (- 3, 9/2)

T' = (2 × 3/2, 2× 3/2) = (3, 3)

V' = (3 × 3/2, - 1 × 3/2) = ( 9/2. - 3/2)

Now, Distance between R and S;

RS = √ (- 3- (- 2))² + (- 2 - 3)²

     = √1 + 25

     = √26

And, Distance between R' and S';

R'S' = √ (- 3- (- 9/2))² + (- 3 - 9/2)²

     = √(3/2)² + (15/2)²

     = √9/4 + 225/4

    = √234/4

Hence, The scale factor is,

⇒ RS / R'S' = √26 / (√234/4)

                  = 2√26/ √234

                  = 2/3

                  = 0.67 < 1

Thus, Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

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The value of the equation a - 32 = 47 is a = 79.

The correct option is D.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

An equation,

a - 32 = 47.

To find the value of a:

We will use some mathematical operations.

Add 32 to both sides of the equation,

we get,

a - 32 + 32 = 47 + 32

a - 0 = 79

a = 79

Therefore, the value of a is 79.

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The slope of x - 3y = -9 is, m = 1/3, while the y-intercept (b) is 3.

The sketch of x - 3y = -9 is shown below.

To determine the slope and y-intercept of the line given by the equation x - 3y = -9, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can solve for y:

x - 3y = -9

-3y = -x - 9

y = (1/3)x + 3

Now we can see that the slope of the line is m = 1/3, and the y-intercept is b = 3.

To sketch the line, we can use the slope and y-intercept. We can start by plotting the y-intercept (0,3) on the y-axis. From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right along the x-axis, we can move up 1 unit (since the slope is 1/3) to get another point on the line, which is (3,4). We can repeat this process to find more points on the line and then connect them to sketch the line.

The sketch is shown below in the attachment.

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Answer:

Common Multiple for #6

Step-by-step explanation:

Not sure if that's what you meant but hope this helps

Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.

Here,

Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:

Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:

Force exerted by hand H on box A (largest force)

Force exerted by hand H on box B

Force exerted by box A on hand H

Force exerted by box B on hand H

Force exerted by box A on box B (smallest force)

Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.

Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.

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The value following are

vertex: (6, -9)

y-intercept: (0, 27)

X = 3, 9

Finding Vertex (Part A)

Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.

[tex]y = 1x^2 - 12x + 27[/tex]

a = 1

b= -12

c =27

-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)

When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.

[tex]y = 1(6)^2 - 12(6) + 27[/tex]

y = 36 - 72 + 27 = -9 (y-coordinate of vertex)

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

Y- Intercept (Part B)

When looking for the y-intercept your "x" must always be 0.

Substitute 0 in every "x" in the equation.

y =[tex]1(0)^2 - 12(0) + 27[/tex]

y = 27

y-intercept: (0, 27)

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

X- Intercepts (Part C)

To find the values of the "x" factor.

[tex]y = 1x^2[/tex] - 12x + 27

[tex]0 = 1x^2[/tex] - 12x + 27

0 = (x  - 3     )(x   -  9 )

(x-3) = 0             (x-9) = 0

x = 3                    x = 9

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Answer:

a. (x-5) meters

b. 390 m²

Step-by-step explanation:

A. We get the equation x²+x-30.

We need to find two factors of 30, which equals 1.
6 and -5 are factors of 30.
Now, we can see that (x-5) and (x+6) are the equations. (x+6) cannot be applied, so the answer is (x-5)

B. We can substitute x with 20, and when we plug it in, we get 390 meters.

His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

A relationship among two expressions or concepts that is not equal in mathematics is referred by the term inequality. Hence, inequalities results from imbalance. In mathematics, an equality establishes the connection between two quel numbers. Egality and inequality aren't the same thing. Use the not equal symbol most frequently when two quantities are not equal (). Values of any size can also be contrasted using a variety of inequalities. By changing the two sides until only components are left, many straightforward disparities can be solved. All the same, a host of mechanisms support inequality: Both sides' lowest values are split or added. Switch the left and the right.

given

It costs $2.50 to ship a card.

Buying a package will cost you $6.50.

Suppose x is the number of packages

Moreover, if y represents the number of cards

The situation is described by a system of inequalities that is

At least 16 more cards than packages make up the total number of cards.

⇒y ≥ 2x +16

Reiko wants to keep his postal expenses to a maximum of $357.50.

⇒6.5x +2.5y ≤ 357.5

⇒13x +5y ≤ 715

His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

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Answer:

Step-by-step explanation:

Sure, I can provide a step-by-step solution to find the probability of observing 10 tornadoes in Ohio in a given year using the Poisson distribution.

Given information:

Mean number of tornado events in Ohio = 19 per year.

Number of tornadoes follows a Poisson distribution.

To find:

Probability of observing 10 tornadoes in Ohio in a given year.

Solution:

We can use the Poisson probability formula, which is given as:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable representing the number of tornadoes in a year, λ is the mean number of tornadoes in a year, k is the number of tornadoes we want to find the probability for, and k! is the factorial of k.

Substituting the given values, we get:

P(X = 10) = (e^(-19) * 19^10) / 10!

Now, we can simplify this expression by calculating the values of e^(-19) and 10!.

e^(-19) ≈ 0.0000000000000000008352702118 (using a calculator)

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

Substituting these values, we get:

P(X = 10) = (0.0000000000000000008352702118 * 19^10) / 3,628,800

Now, we can simplify this expression by multiplying 0.0000000000000000008352702118 and 19^10 and then dividing by 3,628,800.

Multiplying 0.0000000000000000008352702118 and 19^10, we get:

0.0000000176218972

Dividing this by 3,628,800, we get:

P(X = 10) ≈ 0.009

Rounding this to 3 decimal places, we get:

P(X = 10) = 0.009

Therefore, the probability of observing 10 tornadoes in Ohio in a given year is approximately 0.009.

Answer:

Where is the question??

Answer:

A right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

Step-by-step explanation:

A right triangle is a type of triangle that has one angle which measures exactly 90 degrees, which we call the right angle. The other two angles are called acute angles and they are always less than 90 degrees.

A right triangle has a special property: the side opposite the right angle is called the hypotenuse. This is the longest side of the triangle and it is always opposite to the right angle. The other two sides are called legs.

One important thing to note is that the Pythagorean theorem only works for right triangles. This theorem tells us that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This formula is often written as a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

There are actually several different types of right triangles. For example, if the two legs have the same length, we call it an isosceles right triangle. If one of the acute angles measures exactly 45 degrees, we call it a 45-45-90 triangle, and if one of the acute angles measures exactly 30 degrees and the other measures 60 degrees, we call it a 30-60-90 triangle. These triangles have special properties that make them useful in many different areas of math and science.

In summary, a right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

The adjacent angles are ∠GFD and ∠JIF. The correct option is D.

The lines and angles are denied as when the two parallel lines are intersected by the transversal lines it forms different types of angles the angles are adjacent angles, supplementary angles, opposite angles, and alternate angles.

The adjacent angle is defined as the angle which is just side by side with another angle.

Here in the given image, the two adjacent angles are ∠GFD and ∠JIF. Because the angle ∠GFD is just in front of the angle ∠JIF.

Therefore, the correct option is D the adjacent angles will be ∠GFD and ∠JIF.

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Answer:

The Equation is (300-36)÷6.

Step-by-step explanation:

$300-$36=$264 (The budget after paying the set up fee)

$264/6=44 months. That's how many months she can rent.

So the equation would be (300-36)÷6.

All the given relations represent the functions.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

For a given relation to be a function, for one value of {x}, there should be only one unique value of {y}. From the given tables and functions, it can be seen that for the given values of {x}, there exist a unique value of {y}. All the given relations represent the functions.

Therefore, all the given relations represent the functions.

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Using this chart of accounts, an acceptable account number for capital belonging to the stockholders' equity (SE) category is B. 3300.

The chart of accounts is the complete listing of an organization's general ledger accounts, classified according to the following primary categories:

In the chart of accounts, S.E. represents Stockholders' Equity or Equity.

Thus, since the Equity category houses account numbers 3000 to 3999, the acceptable account number for capital which is a type of equity account is Option B.

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According to the information it can be inferred that the heaviest dog is 20 ounces heavier than the lightest dog.

To calculate the difference in weight between the heaviest and lightest dogs we must identify the values of the lines according to the above, it can be inferred that the lightest dog is in the 0.5 pound position, while the heaviest dog is in the the 1.75 pound position.

To know the difference in ounces we must convert these values to ounces with the following information:

So, we must apply a rule of three as shown below:

Based on the above, the difference in ounces would be 20 ounces.

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The requried, Daniel could expect to find 18 red skittles in the big bag.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Assuming that the ratio of red skittles to the total number of skittles in the bag is the same for both the small bag and the big bag, we can use proportions to solve the problem.

The proportion of red skittles to the total number of skittles in the small bag is,

= 9/45

Simplifying this fraction by dividing both the numerator and denominator by 9, we get 1/5. This means that one-fifth of the skittles in the small bag is red.

To find out how many red skittles Daniel could expect in the big bag, we need to multiply the total number of skittles in the big bag by one-fifth,

= 90 * 1/5 = 18

Therefore, Daniel could expect to find 18 red skittles in the big bag.

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Answer:

Step-by-step explanation:

[tex]\mathrm{10+2x-3x=-\left(x+2\right)}[/tex]

*2x-3x=-x*

[tex]\mathrm{10-x=-\left(x+2\right)}[/tex]

Expand:-

[tex]\mathrm{10-x=-x-2}[/tex]

Cancel the x from both sides:-

[tex]\mathrm{10=-2}[/tex]

and since 10=-2 is false, there is no solution.

__________________

Hope this helps!

Answer:

-1 9/10, -1.7, -1.5, -1 1/10

Step-by-step explanation:

The numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

A number system is defined as a system of writing to express numbers.

The given numbers are

-1.5, [tex]-1\frac{9}{10}[/tex], -1.7, [tex]-1\frac{1}{10}[/tex]

Now let us simplify each number or fraction

Convert mixed fractions to improper and find the decimal value.

[tex]-1\frac{9}{10}[/tex]=-81/10

[tex]-1\frac{9}{10}[/tex]=-8.1

[tex]-1\frac{1}{10}[/tex]=-9/10

[tex]-1\frac{1}{10}[/tex]=-0.9

So least to greatest is -8.1, -1.7, -1.5, -0.9

least to greatest is  [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

Hence, the numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

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