Sam screen prints custom t-shirts. He spends $320 each month for the paints he needs to make the shirts. He has found he can purchase quality plain shirts for $9.00 each. He screen prints the shirts and sells them at a local thrift shop for $24.00 each. The thrift shop charges him $100 per month to rent. How many shirts does Sam have to sell each month in order to break even?

The weight distribution can vary based on the number of crates and their sizes. It's important to consider the weight of each size and evenly distribute the crates to ensure the trucks are loaded properly.

The three trucks are being loaded with small, medium, and large crates. Each crate of the same size has the same weight, and each size has a different weight.

The weight of the crates is dependent on their size. Let's say the small crates weigh 10 pounds, the medium crates weigh 20 pounds, and the large crates weigh 30 pounds.

To load the trucks, you need to consider the weight distribution. If you want to evenly distribute the weight, you can load the same number of crates of each size onto each truck.

For example, if you have 10 small, 10 medium, and 10 large crates, you can load 3 small, 3 medium, and 3 large crates onto each truck.

However, if you have a different number of crates for each size, you will need to adjust the distribution accordingly. Let's say you have 10 small, 5 medium, and 15 large crates.

In this case, you can calculate the total weight of each size by multiplying the weight of one crate by the number of crates.

Then, you can divide the total weight of each size by the total number of trucks to determine how many crates of each size should be loaded onto each truck.

For example, if the total weight of the small crates is 100 pounds, the total weight of the medium crates is 100 pounds, and the total weight of the large crates is 450 pounds, and you have 3 trucks, you can divide the total weight by the number of trucks.

This means each truck should carry approximately 33 pounds of small crates, 33 pounds of medium crates, and 150 pounds of large crates.

Remember, the weight distribution can vary based on the number of crates and their sizes.

It's important to consider the weight of each size and evenly distribute the crates to ensure the trucks are loaded properly.

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Answer: The coordinates of the reflected point are (0.5, -4)

Step-by-step explanation: When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. So the point (-0.5, 4) reflected across the y-axis will be (0.5, 4).When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. So the point (0.5, 4) reflected across the x-axis will be (0.5, -4).

Answer:

(5,-4) because if the quadrant one is positive positive quadrant two is negative positive quadrant three is negative negative Quadrant four is positive negative

Step-by-step explanation: Hope this helps!! Mark me brainliest! :))

Answer:

Zeros: 1/3 and -1/3

Step-by-step explanation:

You can solve this for the zeros by using the factoring method:

p(x) = (-3x-1)(3x-1)

Then, you take each factored equation and set it equal to zero:

-3x-1=0

3x-1=0

Then, solve for zero:

-3x=1    x=-1/3

3x=1     x=1/3

Your zeros are 1/3 and -1/3.

Answer:

282.74in

Step-by-step explanation:

Answer:

Inverse for a number x, denoted by 1/x or x⁻¹.

f(x) = x+3/ x-2

Step-by-step explanation:

f(x)-1 = x-2 /x+3

Answer: 3.7

Step-by-step explanation: In this case you're just multiplying by (10) usually this is done to make a decimal to a whole number

There are ten centimeters in one decimeter. How many decimeters are in thirty seven centimeters?

Divide 37/10=3.7

Another way is 3. 7*10=37

Answer:

A. y= -3x - 1

that's the answer of you substitute the figures in x into where x can be located in A

If the line represented by y = 4x + 2 is dilated by a scale factor of 4 centered at the origin, the new equation of the image line is y = 16x + 8, and the statement about the image that is true is that the slope is the same as the original line, but the y-intercept is four times greater.

If the line represented by y = (1/4)x + 2 is dilated by a scale factor of 4 centered at the origin, the image of the line will have a steeper slope, but the y-intercept will remain the same. The new equation for the dilated line would be y = (4 * 1/4)x + 2, simplifying to y = x + 2.

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The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.

First determine the total number of face cards and non-face cards in a standard deck of 52 cards.                                   In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.

Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13

So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.

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The scale factor is: 5/3.5 ≈ 1.43

The value of x = 12.

The scale factor is a numerical value used to describe the proportional relationship between two similar objects or figures. It is the ratio of the length of a corresponding side in one figure to the length of the same side in the other figure.

Thus, Scale factor = Dimension of the new shape ÷ Corresponding Dimension of the original shape

Therefore, we have:

Scale factor = J'H" / JH

= 5/3.5 ≈ 1.43

Using the scale factor, we can find x as shown below:

x = 8.4 * scale factor

x = 8.4 * 5/3.5

x = 12

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Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.

5x3/4y you have to simplify this even more so you get an A +++++++++++++++++++++

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is true.

¬p(2, 2) is true.

We are given the predicate p(x, y) and the universe for the variables x and y is {1, 2, 3}. The truth values of p(x, y) are explicitly given for specific values of x and y.

p(1, 2): Since we don't have this specific value given in the provided information, we assume it is false.

p(1, 1): Similarly, since we don't have this specific value given, we assume it is false.

p(3, 3): Again, since we don't have this specific value given, we assume it is false.

p(2, 1) ∨ p(3, 1): We check the truth value of both statements individually and apply the logical OR operation. From the given information, p(2, 1) is true and p(3, 1) is true. So, the overall statement is true.

p(1, 3) ∧ p(2, 3): We check the truth value of both statements individually and apply the logical AND operation. From the given information, p(1, 3) is true and p(2, 3) is false. So, the overall statement is false.

¬p(2, 2): The negation of p(2, 2) is evaluated. Since p(2, 2) is true according to the given information, its negation is false.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is false.

¬p(2, 2) is false.

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Answer:

Step-by-step explanation:

The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.

__

The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.

__

The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.

Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.

Answer:

11 degrees Fahrenheit

Step-by-step explanation:

-2 + 13 = 11

Answer:

11°F

Step-by-step explanation:

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

The probability that a randomly chosen buyer is an adult or purchased a clock scented like cotton candy is 1, which is equivalent to 100%.

To find the probability that a randomly chosen buyer is an adult or purchased a clock scented like cotton candy, we can use the concept of probability union.

Let A be the event that a buyer is an adult and C be the event that a buyer purchased a clock scented like cotton candy.

We are given:

P(A) = 0.9 (probability that a buyer is an adult)

P(C) = 0.9 (probability that a buyer purchased a clock scented like cotton candy)

P(A and C) = 0.8 (probability that a buyer is an adult and purchased a clock scented like cotton candy)

The probability of the union of two events A and C is given by:

P(A or C) = P(A) + P(C) - P(A and C)

Substituting the given values:

P(A or C) = 0.9 + 0.9 - 0.8

P(A or C) = 1.8 - 0.8

P(A or C) = 1

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The optimal solution of the given linear program is (x, y) = (2, 1).

How to solve linear programming problems?

To solve the linear program, we first plot the feasible region determined by the constraints:

We can rewrite the second constraint as y >= (4 - Ax)/2.

Next, we plot the lines 3x - 4y = 12 and Ax + 2y = 4 - 2x and shade the appropriate regions:

We can see that the feasible region is bounded, so we can find the optimal solution by evaluating the objective function C at each of the corner points of the feasible region.

The corner points are:

Evaluating C at each corner point, we get:

Thus, the optimal solution is at (2, 1) with a minimum value of C = 11.

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Step-by-step explanation:

If the data shows a leaner relationship between two variables, the line that best fits this linear relationship is known as a least-squares regression line, which minimizes the vertical distance from the data points to the regression line.

The number that represents the distance and direction from her office to the parking garage is; -8

The absolute value of a number is defined as the distance of that specific number from zero.

Now, when we talk about an elevator, an upward motion indicates a positive sign while a downward motion indicates a negative sign. Now, we are told that from Raisa's office, she took  the elevator down eight floors to the parking garage.

Since it is a downward motion, the distance will be negative and since it is 8 floors downward, we conclude that the distance and direction is given by -8

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14500*.22

so it's 3190

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

Answer:

1:2

Step-by-step explanation:

The answer is that it depends on the specific countable sets being considered and how they are being combined.

The union of countably infinite sets can be countable, as in the case of the union of all positive integers and all negative integers, which is also countable.

However, the union of countably infinite sets can also be uncountable. For example, consider the union of all the intervals [n, n+1) for n = 1, 2, 3, .... Each of these intervals is countable (since it contains all the real numbers between two integers, which is a countable set), but the union of these intervals is the uncountable set of all real numbers greater than or equal to 1. Therefore, the union of these countably infinite sets is uncountable.

So the answer is that it depends on the specific countable sets being considered and how they are being combined.

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Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

The derivative of U with respect to x is A1 x/(x²+y²).

In order to find the value of dU/dx, we need to differentiate U with respect to x.

As A0 and A1 are constants, they will remain the same after differentiation.

Therefore, dU/dx = d/dx (A1 ln (√x²+y²))

Here, we will use the chain rule.

So, the derivative of ln(√x²+y²) is (1/√x²+y²) d/dx (√x²+y²).

Applying chain rule, d/dx (√x²+y²) = (1/2) (x²+y²)^(-1/2) .

2x = x/(√x²+y²)

Therefore, dU/dx

= d/dx (A1 ln (√x²+y²))

= A1 (1/√x²+y²) d/dx (√x²+y²)

= A1 (1/√x²+y²) . (x/(√x²+y²))

= A1 x/(x²+y²)

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you

The case that corresponds to the assumption |x-y|=x-y is  option (a) x ≥ y. The assumption |x-y|=x-y corresponds to the case x ≥ y in the proof of the theorem.

The assumption |x-y|=x-y is valid when x is greater than or equal to y. In this case, the difference between x and y, represented as (x - y), is non-negative. Since the absolute value |x-y| represents the magnitude of this difference, it can be simplified to (x - y) without changing its value.

This assumption is important in the proof of the theorem because it allows for the direct substitution of (x - y) in place of |x-y|, simplifying the expression. It helps establish the equality between the maximum function max(x, y) and the expression (1/2)(x + y + |x-y|).

By selecting the case x ≥ y, where the assumption holds true, we can demonstrate the validity of the theorem and show how the expression simplifies to the expected result.

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