in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?

Answer: 90 miles

Step-by-step explanation:

1. Divide the miles by the minutes to get the average of how much miles the motorcycle travels per minute.

2. Multiply the answer you get in step 1 by 60.

=> 45 / 30 = 1.5

=> 1.5 * 60 = 90

I might be wrong but I hope this helps :’)

The motorcycle travels 40 miles in 60 minutes. To find this answer, you first simply the ratio 30 miles in 45 minutes (30:45). To simplify, divide both values by 15. This will give you 2 miles every 3 minutes.

Next, multiply 2:3 by 20, to show miles traveled after 60 minutes. Thus getting a final answer of 40 miles in 60 minutes. Here's an image to show how i solved this problem.

I hope this helps!

Answer:

I A

Step-by-step explanation:

A is the answer sorry I cant conform

Answer:

\(\(\red{\rule{100pt}{100000pt}}\)\)

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.

2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.

3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.

4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.

1. The break-even point in unit sales and dollar sales is computed as follows:

Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units

Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000

2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.

3. Present Income Statement

Sales (8,000*$50) $400,000

Less variable expenses (8,000*$32) (256,000)

Contribution Margin $144,000

Less fixed expenses 108,000

Net Income $36,000

Income Statement if Changes are Implemented

Sales (8,000*$45) $360,000

Less variable expenses (8,000*$35) (280,000)

Contribution Margin $80,000

Less fixed expenses 108,000

Net Loss $(28,000)

4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:

$35,000 / 0.36 = $97,222

The number of units required to be sold is:

$97,222 / $18 = 5,401 units

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Answer:

(-1, -4)

Step-by-step explanation:

J maps onto (-3,-4) and K maps onto (3,-4).

The equation of J'K' is y = -4, so the answer is (-1, -4). [Note that (-4, -4) doesn't lie on the segment]

The reflections of the two points J and K as described in the task content are; (-3, -4) and (3, -4) respectively.

Given that, the coordinates of J(-3, 4) and the coordinates of K(3, 4). Both points will be reflected across the x-axis.

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

It follows from the convention that the reflection of a given point across the x-axis simply implies that the y-coordinate of such a point is multiplied by -1.

On this note, it follows that the points J and K gave as in the task content have their reflection across the x-axis are (-3, -4) and (3, -4) respectively.

Therefore, the reflections of the two points J and K as described in the task content are; (-3, -4) and (3, -4) respectively.

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The linear transformation T defined by T(x) = ax is given, and we need to find the kernel, nullity, range, and rank of this transformation.

The kernel of a linear transformation T is the set of all vectors x such that T(x) = 0. In this case, T(x) = ax, so we need to find all vectors x such that ax = 0. If a is nonzero, then the only solution is x = 0, so ker(T) = {0}. If a = 0, then \(ker(T)\)is the set of all nonzero vectors.

The nullity of T is the dimension of the kernel, which is 0 if a is nonzero, and 2 if a = 0.

The range of T is the set of all vectors of the form ax, where x is any vector in the domain of T. If we assume that the domain of T is the vector space of all 2-dimensional vectors, then the range of T is the line spanned by the vector (5,-3) if a is nonzero, or the entire plane if a = 0.

The rank of T is the dimension of the range, which is 1 if a is nonzero, and 2 if a = 0.

The matrix A is not directly related to T, but we can use it to find a if we assume that T maps the standard basis vectors (1,0) and (0,1) to the columns of A. In this case, we have T((1,0)) = 5(1,0) + 1(0,1) + 1(0,8) = (5,1), and\(T((0,1))\) = -3(1,0) + 1(0,1) + (8-1)(0,8) = (-3,1). Therefore, a = \([\begin{array}{cc} 5 & -3 \\ 1 & 1 \\ 1 & 8-1 \end{array}\right].\)

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The roots of equation 2x² -5x +3 = 0 are 3/2 or 1.

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The general form of the quadratic equation is:  ax² + bx + c = 0,

where x is an unknown variable and a, b, c are numerical coefficients.

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.

Given that,

2x² -5x +3 = 0

=> 2x² -2x - 3x +3 = 0 = 0

=> 2x(x-1)-3(x-1) = 0

=> (2x-3)(x-1) = 0

x = 3/2 or 1 are the two roots of the equation.

Thus, The roots of the equation 2x² -5x +3 = 0 are 3/2 or 1.

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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\( \: \: \: \: 15.5 \\ - 11.2 \)

ANSWER :-

4.3

Answer:

#2

Step-by-step explanation:

because the letters match up for the sides of each triangle

Answer:

Hence the expression \($(x+8)(x+3)=x^{2}+11 x+24$\).

Step-by-step explanation:

- The given expression is (x+8)(x+3).

- We have to multiply the given expression.

- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.

\($$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$\)

Answer:

The answer is D

Answer:  -8

The ordered pair solution is ( -8, 8 )

=====================================================

To get that answer, we plug in y = 8 and solve for x.

6x+2y = -32

6x+2(8) = -32

6x+16 = -32

6x = -32-16

6x = -48

x = -48/6

x = -8

So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Step-by-step explanation:

4x^2 + 20 = 0

divide 4 throughout:

x^2 + 5 = 0

x^2 = -5

x = ±√-5

However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"

Answer:

78x - 6 = 72x

Step-by-step explanation:

Greatest common factor of 36 and 6 is 6.

First pull 6 out of each term:

6(6x^2 +x -1)

Now factor the polynomial :

6(3x-1)(2x+1)

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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The panels in a joint probability table include the kind of probabilities, with the exception of the cells on the table's margins, which carry marginal probabilities instead of joint probabilities.

The likelihood that two separate occurrences will occur simultaneously is referred to as a joint probability when there are two or more random variables. A joint probability is the likelihood that event Y will occur at the same time as event X. It is a statistical metric that determines the likelihood of two occurrences occurring simultaneously and at the same moment in time. When two or more random variables are represented as a joint probability distribution in a table, the link between the variables is demonstrated (it uses variables or conditions instead of events). The probabilities included in the cells of the joint probability table are joint probabilities, but the probabilities on the margins are marginal probabilities.

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The probability of getting at least one nun in three spins of a dreidel is approximately 0.578

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.

The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.

So the probability of getting at least one nun in three spins is

= 1 - (3/4)^3

= 1 - 0.421875

= 0.578125

Therefore, the probability of getting at least one nun is 0.578

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The given question is incomplete, the complete question is:

A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?

The projectile motion formula for the height of an object is given by

h = -16t^2 + v0t + h0

Where,

h = height in feet,

t = time in seconds,

v0 = initial velocity in feet per second,

h0 = initial height (in this case, it is zero)

Given data:

Initial velocity of the arrow, v0 = 112 feet/second

Height of the arrow, h = 196 feet

We are supposed to find the time when the height of the arrow will be 196 feet.

Substitute the given values into the formula.

h = -16t^2 + v0t + h0

196 = -16t^2 + 112t

On rearranging, we get,

-16t^2 + 112t - 196 = 0

Divide by -4 throughout the equation to simplify it.

4t^2 - 28t + 49 = 0

This is a quadratic equation and we can solve it using the quadratic formula.

t = (-b ± sqrt(b^2 - 4ac))/2a

where, a = 4,

b = -28, and

c = 49

On substituting the values, we get,

t = (28 ± sqrt(784 - 784))/8

t = 7/2 or 7/2

Therefore, the arrow will reach a height of 196 feet twice during its upward journey, at 3.5 seconds and at 3.5 seconds on its way back down to the ground.

Given the initial velocity, v0 = 112 feet per second and height of the arrow, h = 196 feet, we are supposed to determine the time when the height of the arrow will be 196 feet.

To solve this problem, we will use the formula for the height of an object during projectile motion. This formula relates the height of an object to time and initial velocity. It is given by

h = -16t^2 + v0t + h0

Here, h is the height in feet, t is the time in seconds, v0 is the initial velocity in feet per second, and h0 is the initial height, which is usually taken as zero. In this case, the arrow is shot from the ground, so the initial height is zero.

Substituting the given values into the formula, we get

196 = -16t^2 + 112t + 0

Simplifying the equation, we have-16t^2 + 112t - 196 = 0

Dividing by -4 throughout the equation, we get

4t^2 - 28t + 49 = 0

This is a quadratic equation that can be solved using the quadratic formula. On substituting the values, we get

t = (28 ± sqrt(784 - 784))/8

t = 7/2 or 7/2

Therefore, the arrow will reach a height of 196 feet twice during its upward journey, at 3.5 seconds and at 3.5 seconds on its way back down to the ground.

We can determine the time when the height of an arrow will be 196 feet by using the formula for projectile motion. In this case, we found that the arrow reaches a height of 196 feet twice during its journey, at 3.5 seconds and at 3.5 seconds on its way back down to the ground.

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The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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The park should be expanded based on the information as the majority want the expansion.

From the information, on the small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded.

Also, the results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.

Based on the above the number of people that wants the expansion will be:

= (150 + 40) / 250 × 100

= 190 / 250 × 100

= 76%

It should be expanded.

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Area between each score and the mean in the z score table and then subtract the smaller area from the larger area.

The correct option is b.

The area between each score and the mean in the z score table and then subtract the smaller area from the larger area.

What is Z score: The z-score (aka, standard score) is a dimensionless metric that represents the deviation of a score from the mean in units of the standard deviation.

The formula for computing z-scores is as follows:

Z = (X - μ) / σ

where X is the score,

μ is the mean,

and σ is the standard deviation.

Z-scores can be used to assess the relative position of a score in relation to the distribution's mean and standard deviation.

In this particular question, the Z score of two test scores is 1.2 and 1.5.

To obtain the area between these scores, we have to find the area between each score and the mean in the z-score table, and then subtract the smaller area from the larger area.

First, we need to find the area between 1.2 and 1.5.

We can see the area from the z-score table as P(z < 1.5) - P(z < 1.2).

The following z-score table can be used to find these probabilities:

z-score table

From the table, P(z < 1.5) is equal to 0.9332, and P(z < 1.2) is equal to 0.8849.

Thus, P(1.2 < z < 1.5) = 0.9332 - 0.8849 = 0.0483.

To find the answer to the question, we have to calculate the area between the scores, which is 0.0483 in this case, by finding the area between each score and the mean in the z-score table and then subtracting the smaller area from the larger area.

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Answer:

is that just 1/2 lol i think but if u want add me on disc Andreww#6506

Step-by-step explanation:

Answer:

482.3

Step-by-step explanation:

because 137.8 times 3.5 is

482.3

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

Answer:

4320.43

Step-by-step explanation:

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The solution to the equation 8 - 2p / -4 = 3p + 12 / 6 is p = 4.

To solve this equation, we first need to simplify both sides by performing the operations inside the parentheses:
(8 - 2p) / (-4) = (3p + 12) / 6

Next, we can simplify further by multiplying both sides by their common denominator, which is -12:
(8 - 2p) * (-3) = (3p + 12) * (-2)

Expanding both sides, we get:
-24 + 6p = -6p - 24

Adding 6p to both sides, we get:
6p - 24 = 0

Adding 24 to both sides, we get:
6p = 24

Dividing both sides by 6, we get:

p = 4

Therefore, the solution to the equation 8 - 2p / -4 = 3p + 12 / 6 is p = 4.

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