the spirit club buys shirts in bulk for $8 each. they mark up the shirts 25% 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 sold at the end of the year?

d. Reflect across the x-axis and translate up 4 and right 3, this transforms the pre-image to the composite image.

What is composite image?

A composite image is the result of applying multiple transformations to a given pre-image. It is formed by first applying one transformation to the pre-image and then applying another transformation to the resulting image, and so on.  The final result is the composite image.

Let's analyze the given options:

a. Reflect across the y-axis and translate 4 down and three left.

This transformation would reflect the pre-image across the y-axis, which would change the signs of the x-coordinates, and then translate it 4 units down and 3 units left. However, this transformation would not result in the composite image provided.

b. Rotate 180° and reflect across the x-axis.

This transformation would rotate the pre-image 180 degrees counterclockwise around the origin, which would change the signs of both the x and y-coordinates, and then reflect it across the x-axis. This transformation would not result in the composite image provided.

c. Rotate 90° and translate 4 up and 3 right.

This transformation would rotate the pre-image 90 degrees counterclockwise around the origin, which would swap the x and y-coordinates and negate the new x-coordinate, and then translate it 4 units up and 3 units right. This transformation would not result in the composite image provided.

d. Reflect across the x-axis and translate up 4 and right 3.

This transformation would reflect the pre-image across the x-axis, which would change the signs of the y-coordinates, and then translate it 4 units up and 3 units right. This transformation would result in the composite image provided.

Therefore, the correct answer is d. Reflect across the x-axis and translate up 4 and right 3.

To learn more about composite image visit:

https://brainly.com/question/31108338

#SPJ1

The smallest positive integer y such that the product xy is a perfect cube is 3.

To find the value of y, we need to factorize x, which is 7 * 24 * 48.

We can then find the prime factorization of xy, which will help us determine the smallest integer y that will make the product a perfect cube.

Since 7, 24, and 48 are already factored, we can express x as:

x = 2⁴ * 3 * 7²

To make xy a perfect cube, we need to ensure that the exponents of all the prime factors are multiples of 3.

Therefore, we need to add a factor of 3 to the exponent of 2 in x to make it a multiple of 3. This gives us:

xy = 2⁷ * 3² * 7²

The smallest integer y that can make this product a perfect cube is 3, because we need to add a factor of 1 to the exponent of 2 in xy to make it a multiple of 3, and the smallest integer that can achieve this is 3.

Thus, the smallest positive integer y such that the product xy is a perfect cube is 3.


The question is: A number x is equal to [tex]$7\cdot24\cdot48$[/tex]. What is the smallest positive integer y such that the product xy is a perfect cube

To know more about smallest positive integer refer here:

https://brainly.com/question/14378432#

#SPJ11

Cards are dealt from a standard shuffled deck of cards until the first ace is drawn. So the chance that the next card is a king is 0.05 percent.

            When drawing a card from a standard deck of 52 cards, the chance of drawing an ace is 4/52 or 1/13. After an ace has been drawn, there are 51 cards left in the deck, and 4 of them are kings.

           So, the probability of drawing an ace and then a king is

                     (1/13) × (4/51) = 4/663.

There are 4 different aces that could be drawn, each with the same probability of

                      (1/13) × (4/51) = 4/663,

So we multiply by 4 to account for all the possible aces that could be drawn.

Therefore, the total probability of drawing an ace and then a king is

                     (4/663) × 4 = 16/663.

         Once an ace has been drawn, there are 51 cards remaining in the deck, and only one of them is a king. Therefore, the probability of drawing a king after an ace has been drawn is 1/51.

         The probability that the next card is a king after the first ace is drawn is thus:

                    (16/663) × (1/51) = 16/33663

                                              = 1/2104.

      This simplifies to 0.0475 percent or approximately 0.05 percent.

Learn more about a standard shuffled deck of cards at: https://brainly.com/question/6819029

#SPJ11

The equation of the line y = 3x + 10 in standard form is 3x - y = -10.

Given the equation of line in the question:

y = 3x + 10

To write the equation of the line in standard form, we need to rearrange the equation so that the x and y terms are on the left side and the constant term is on the right side of the equation.

It is expressed as;

Ax + Bx = C

y = 3x + 10

Subtracting 3x from both sides, we get:

y - 3x = 3x - 3x + 10

y - 3x = 10

Reorder

-3x + y = 10

Multiply each term by -1

-3x(-1) + y(-1) = 10(-1)

3x - y = -10

Therefore, the equation in standard form is 3x - y = -10.

Learn more about equation of line here:https://brainly.com/question/28696396

#SPJ1

In conclusion, we can say that the IQR is a better measure of variation for these data because it is less affected by outliers and gives a more accurate picture of the spread of the data.

The given box plot illustrates the population of several states (in millions).

The range and the interquartile range (IQR) are both the measures of variation that explain the variation within a set of data, but there are some variations between these two measures.

Let's discuss the differences between these two measures.
Range:
The range is defined as the difference between the highest and lowest values of a data set.

The range is useful for describing the overall spread of the data, which is particularly useful when dealing with very small datasets.

This measure is sensitive to the extreme values, such as outliers.

Because of this, the range of the population of several states can be used to identify the minimum and maximum value for the population of several states.
IQR:
The interquartile range (IQR) is the difference between the 75th and 25th percentiles, also known as the first and third quartiles, in a data set.

The IQR is a better measure of variation than the range because it is less sensitive to extreme values or outliers.

As a result, the IQR is a more robust measure of the spread of the data.

Therefore, it is better to use the IQR for the population of several states since it gives a more accurate picture of the spread of the data.

For similar question on IQR.

https://brainly.com/question/17083142

#SPJ11

The probability that a librarian chooses a fiction book, then a nonfiction book, then a fiction book is approximately 0.305.

The solution to this problem is a probability calculation.

To calculate the probability of selecting a fiction book, then a nonfiction book, then a fiction book from a selection of 10 nonfiction books and eight fiction books, we need to use the multiplication rule of probability.

The multiplication rule states that the probability of two or more independent events happening together is equal to the product of their individual probabilities.

To apply this rule, we'll break down the question into three events:

Probability of choosing a fiction book = 8/18 = 4/9

Probability of choosing a nonfiction book (after selecting a fiction book) = 10/17

Probability of choosing a fiction book (after selecting a nonfiction book) = 8/16 = 1/2

Now we can use the multiplication rule:4/9 * 10/17 * 1/2 = 0.305 (rounded to three decimal places)

Therefore, the approximate probability that the librarian will choose a fiction book, then a nonfiction book, then a fiction book is 0.305.

For similar question probability.

https://brainly.com/question/28444090

#SPJ11

Answer:

area=188

Step-by-step explanation:

12×14=168 for the area of the rectangle

2×10=20

20÷2=10 for the area of triangle

168+10+10=188

area=188

Answer:

≈283,39 mm^2

Step-by-step explanation:

The diameter is 19 mm, so the radius is half diameter (9,5 mm)

[tex]a = \pi \times {r}^{2} = 3.14 \times {9.5}^{2} = 3.14 \times 90.25 ≈ 283.39[/tex]

The equivalent equation to f(x) = 7(x - 60) - 28 is f(x) = 7x - 448 and the y-intercept is -448

Given that

f(x) = 7(x - 60) - 28

To produce an equivalent equation that reveals the y-intercept of the function f(x) = 7(x-60) - 28, we need to simplify the expression by evaluating it when x = 0, since this will give us the y-intercept.

When the brackets are expanded, we have the following

f(x) = 7x - 420 - 28

Evaluate the like terms

So, we have

f(x) = 7x - 448

So, substituting x = 0 into f(x) gives:

f(0) = 7(0) - 448

Evaluate the expression

f(0) = -448

Therefore, the y-intercept is -448.

Read more about linear relation at

https://brainly.com/question/10209928

#SPJ1

The equation has a solution of -1

Algebraic expressions are defined as those expressions that are made up of variables, constants, factors, coefficients and terms.

They are also composed of mathematical operations, such as;

Also, note that linear equation are equations having the greatest degree of  x as 1.

An equation having a solution would have the x value.

From the equation given, we have that;

2x+2=x+1

collect the like terms

2x - x =1 - 2

subtract the values

x = - 1

Learn about linear equations at: https://brainly.com/question/2030026

#SPJ1

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle and π is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the circle is 58, so we can substitute this value into the formula:

C = πd

C = π(58)

C ≈ 182.09

Therefore, the circumference of the circle with diameter 58 is approximately 182.09 units. Note that the units of measurement were not specified in the question, so the units of the answer will depend on the units used for the diameter.

The value of x using similar triangles theorem is = 13/3.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles.

When two objects have the same shape but different sizes, they can be said to be comparable.

This indicates that comparable shapes superimpose one another when amplified or de-magnified.

The term "Similarity" refers to this characteristic of like shapes.

Now in the given figure,

the proportion of the triangles' side is same.

So, 12/4 = 13/x

x = 13/3

To know more about similar triangles, visit:

https://brainly.com/question/30725762

#SPJ1

Answer:

1+2=90° .so complementary angle

Answer:

eqn of line : x-3y=15

slope1=m= -coefficient of x/coefficient of y=1/3

As lines are parallel slope must be equal.

slope3=m'=1/3

passing points of second line =(0,7)

eqn of line = (y-y')=m(x-x')

=(y-7)=1/3(x-0)

=y-7=1/3x

=1/3x-y+7=0

=x-3y+21=0

Step-by-step explanation:

The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.

When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.

We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.

The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.

To know more about volume click on below link:

https://brainly.com/question/1578538#

#SPJ11

Step-by-step explanation:

(explanation is given in your another question please check)

there are 6 red counters, 24 blue counters, and 5 green counters in the bag, based on the given information.  The given information provides us with the ratio of red to blue counters in a bag, which is 2:5. This means that for every 2 red counters in the bag, there are 5 blue counters.

Let the number of red counters in the bag be 2x, where x is a constant. Then, the number of blue counters in the bag is 5x. We are also given that there are 9 more blue counters than before, so the new number of blue counters is 5x + 9.

We know that there are 35 counters in total, so we can write an equation based on this information:

2x + 5x + 5x + 9 = 35

Simplifying this equation, we get:

12x + 9 = 35

Subtracting 9 from both sides, we get:

12x = 26

Dividing both sides by 12, we get:

x = 2.1667

Since we cannot have a fraction of a counter, we can round x up to 3.

Therefore, the number of red counters in the bag is 2x = 2(3) = 6, and the number of blue counters in the bag is 5x + 9 = 5(3) + 9 = 24.

Finally, we can find the number of green counters in the bag by subtracting the number of red and blue counters from the total number of counters:

35 - 6 - 24 = 5

So there are 5 green counters in the bag.

In summary, there are 6 red counters, 24 blue counters, and 5 green counters in the bag, based on the given information.

To know more about ratio click here:

brainly.com/question/13419413

#SPJ4

Answer:

When flipping a coin, there are two possible outcomes: heads or tails. The probability of getting heads on any one flip is 1/2, and the probability of getting tails is also 1/2.

To find the probability that all three coins will land on the same side (either all heads or all tails), we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.

So, for each coin flip, there are two possible outcomes, and the probability of getting either outcome is 1/2. To find the probability that all three coins will land on the same side, we need to find the probability of getting either all heads or all tails.

The probability of getting all heads is:

(1/2) x (1/2) x (1/2) = 1/8

Similarly, the probability of getting all tails is also 1/8.

So, the probability of all three coins landing on the same side is:

1/8 + 1/8 = 2/8 = 1/4

Therefore, the probability that Matrix will flip 3 coins and all three coins will land on the same side is 1/8 or 0.125, which can also be written as a fraction or percentage.

Answer:

Step-by-step explanation:

To solve this question, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the total amount of money after t years

P is the initial principal (in this case, $600)

r is the annual interest rate (4%)

n is the number of times the interest is compounded per year (12, for monthly compounding)

t is the number of years

Plugging in the values, we get:

A = 600(1 + 0.04/12)^(12*14)

A = 600(1.00333)^168

A = $988.42 (rounded to two decimal places)

So, after 14 years, Levi will have approximately $988.42 in his account.

According to the question this equation represents a single point in the xy-plane, and does not have a constant rate of change. It doesn't have a linear function as a result.

When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.

Equation representing a linear function:

Y is equivalent to x plus 5 times the negative one-fourth.

Linear functions have a constant rate of change, which means that as x increases or decreases by a certain amount, y also changes by a constant amount. The equation y equals negative one fourth times x plus 5 has a constant slope of negative one fourth, which means that for every increase of one in x, y will decrease by one fourth. This is a characteristic of a linear function.

The equation y equals two thirds times x squared represents a quadratic function, which has a curved graph.

The equation x = 5 is a linear equation, but it only represents a vertical line passing through x = 5. It does not have a slope or a y-intercept, which are necessary for a linear function.

The equation 2x + 7 = 12 can be simplified to a linear equation of the form y = mx + b by solving for y:

2x + 7 = 12

2x = 5

x = 5/2

Substituting x = 5/2 back into the equation gives:

y = 2(5/2) + 7 = 12

This equation represents a single point in the xy-plane, and does not have a constant rate of change. Therefore, it is not a linear function.

To know more about equation visit:

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Credits : sqdancefan (Brainly.com)

I changed some of it myself  :)

Answer:

A) intercept: 0 profit : Maximum(max) : max profit. increasing x <4 ; decreasing x > 4

B) average slope: ≈50, about $50 increasing profit for each $1 increasing in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices in the produce 0 profit. The maximum value of the graph is the maximum profit that can be obtained for anyprice

The higher or largest number of the chart is the maximum reach

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of the change from x = 1 to x = 4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in what interval.

______

* if we take the peak profit to be $270 we can write f(x) as ...

f(x) 16.875x(x-8)

Then f(1) = 118.15 ad average rate if changed is 50.625. For the purpose here, we judge the extra precision to be pointless

Clark completed a self-administered questionnaire, which is also known as an online survey.

This type of survey is administered online and is completed by the participant (in this case, Clark) without the assistance of a researcher or interviewer. It can be delivered through an online form or through an email or online survey link.

The questionnaire typically includes multiple-choice questions, short-answer questions, and rating scales that the participant can answer with a click or tap. After the participant completes the survey, their answers are collected and analyzed by the researcher. This type of survey is a cost-effective and convenient way to collect data from a large number of people in a short amount of time.

See more about survey at: https://brainly.com/question/14610641

#SPJ11

A human organism developing in the uterus from the ninth week until birth is called a(n) fetus.

A fetus is the term used to describe a human organism that is developing in the uterus from the ninth week of gestation until birth. During this time, the fetus undergoes significant growth and development, as all of the major organs and body systems are formed and begin to function.

The ninth week of gestation is considered a significant milestone in fetal development, as most of the critical stages of organogenesis have been completed by this time. From this point onward, the fetus primarily grows and matures in preparation for life outside of the womb.

During the remaining weeks of gestation, the fetus undergoes a number of important developmental processes, including continued brain development, growth of the nervous system, and development of the lungs and other vital organs. At the same time, the fetus also gains weight and size, and begins to develop a layer of fat that will help to regulate body temperature after birth.

Learn more about fetus here:

https://brainly.com/question/27873806

#SPJ11

If Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. The kite is about 61 meters above the ground.

We can use trigonometry to solve the problem. Let's call the height of the kite above the ground "h".

Using trigonometry, we can write:

sin (70) = h / 65

Solving for h, we get:

h = 65 * sin(70)

h= 65 * 0.9397

h ≈ 61 meters

Therefore, the kite is about 61 meters above the ground.

Learn more about height here: https://brainly.com/question/73194

#SPJ1

According to the given information, the sale price is 160% of the purchase price and she would need to buy at least 4 jackets to make at least $250 in total sales.

What is the percentage?

The percentage is a way of expressing a fraction or proportion out of 100. It is commonly used in many different areas such as finance, math, science, and everyday life.

a. To find the percent of the purchase price that the sale price represents, we can use the formula:

percent = (sale price/purchase price) x 100

Plugging in the given values, we get:

percent = (96 / 60) x 100 = 160%

Therefore, the sale price is 160% of the purchase price.

b. If the owner increases the sale price by 160% when buying jackets for $45, then the new sale price for each jacket will be:

new sale price = 1.6 x $45 = $72

To find the number of jackets the owner must buy to make at least $250 in total sales, we can set up an equation:

number of jackets x $72 = $250

Solving for the number of jackets, we get:

number of jackets = $250 / $72 ≈ 3.47

Since the owner can only sell a whole number of jackets, she would need to buy at least 4 jackets to make at least $250 in total sales.

This is because selling 3 jackets would only bring in $216 in total sales, which is less than $250.

To know more about percentage visit:

brainly.com/question/24877689

#SPJ1

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

For similar question on probability.

https://brainly.com/question/29061226

#SPJ11

Answer:

Step-by-step explanation:

To find the benchmarks between which 3/8 falls, we need to identify the nearest fractions with denominators that are multiples of 8.

The fraction 3/8 is halfway between 1/4 and 1/2, which can be written as 2/8 and 4/8 respectively. So, we know that 3/8 is greater than 2/8 and less than 4/8.

Therefore, the benchmarks between which 3/8 falls are 2/8 and 4/8. Alternatively, we can express these fractions as decimals and say that 3/8 falls between 0.25 and 0.5.