What does (1/2) divided by (-7/8) equal?

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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If Builtrite is in the 21% tax bracket and had $50,000 in interest expense, the after-tax cost of this interest expense would be $39,500.

To calculate the after-tax cost of the interest expense, we need to apply the tax rate to the expense.

Taxable Interest Expense = Interest Expense - Tax Deduction

Tax Deduction = Interest Expense x Tax Rate

Given that Builtrite is in the 21% tax bracket, the tax deduction would be:

Tax Deduction = $50,000 x 0.21 = $10,500

Subtracting the tax deduction from the interest expense gives us the after-tax cost:

After-Tax Cost = Interest Expense - Tax Deduction

After-Tax Cost = $50,000 - $10,500

After-Tax Cost = $39,500

Therefore, the interest expense would cost Builtrite $39,500 after taxes. This means that after accounting for the tax deduction, Builtrite effectively pays $39,500 for the interest expense of $50,000.

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To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

Total cost of the trip = 243 + 72x

Step-by-step explanation:

Cost of airfare = $243

Amount spent per day = $72

Which expression can he use to help him find the cost of the trip?

Let

x = number of days spent in Alaska

Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)

= 243 + (72 * x)

= 243 + 72x

Total cost of the trip = 243 + 72x

If he spent 4 days on the trip

Total cost of the trip = 243 + 72x

= 243 + 72(4)

= 243 + 288

= $531

The height of the tree is 18.4 ft.

Given,

In the question,

Marisa stands next to a large tree. She is 5.75 ft tall and casts a shadow of 10 ft. The tree casts a shadow of 32 ft.

To find the how tall is the tree?

Now, According to the question:

we have to find the height of the tree.

Since, the given triangles are similar their corresponding sides are in proportions.

then,

Shadow of tree/ Shadow of Marisa = Height of tree/ height of Marisa

Substitute the given values,

32 x 5.75/ 10

= 32 x 575/1000

Cross out the common factor

32 x 23/40

4 x 23/5

= 92/ 5

= 18.4 ft.

Therefore, the height of the tree is 18.4 ft.

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Answer:

12, 14

Step-by-step explanation:

To find out a distance, you must find out how far numbers are, you can use a number line for this.

Step 3 is incorrect because it states that if all the sides of two figures are proportional then those two figures are similar.

Step 6 is incorrect because it states that if needed, we should reflect A B C D over segment WX. This is incorrect because reflection is not required to prove two figures are similar.

A segment is part of a market that is specifically targeted for a product or service. It is defined by characteristics such as demographics, geography, buying behavior, and interests. Segmentation helps companies to identify their target market and direct their marketing activities accordingly.

We can prove two figures are similar using a sequence of transformations that includes translations, rotations, and dilations, but not reflections. Reflection may be used to help visualize similar figures, but it is not necessary to prove that they are similar.

from the question:

Step 3 is erroneous since it implies that two figures are identical if all of their sides are proportionate. This isn't always the case because two figures can resemble one another without having sides that are proportional. When two figures of the same shape, such as two squares or two circles, proportional sides can only ensure that the two figures are identical.

Step 6 is erroneous because it instructs us to reflect A, B, C, and D over segment WX if necessary. This is false since the similarity between two figures can be established without thought. Using a series of transformations that includes translations, rotations, and dilations but not reflections, we may demonstrate the similarity of the two figures. Reflection may be employed to aid in seeing related figures, but it is not required to establish their similarity.

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An equation in point-slope form that can be used to describe the relationship between x and y is y - (-1) = 3/4(x - 1).

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:

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

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 1)/(5 - 1)

Slope (m) = 3/4

At data point (1, -1) and a slope of 3/4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-1) = 3/4(x - 1)  

y + 1 = 3/4(x - 1)  

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Jerry can do the job in 140 minutes by himself

Tom can do a Job in 140 minute

In 1 minute tom can do 1/140 of the job

Tom and Jerry can together do the job in 70 minutes

In 1-minute tom and jerry can do 1/70 of the job

At 1 minute:

1/70 of the job = 1/140 of the job + Job done by Jerry in 1 minute

1/70 - 1/140 = Job done by Jerry in 1 minute

1/140 = Job done by Jerry in 1 minute

To complete the full job Jerry needs 140 minutes

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The correct equation type for the given system include the following: \(\left \{ {{\frac{1}{2} y\;=\;-x\;+\;5} \atop {2y\;=\;-4x\;+\;20}} \right.\) ⇒ equivalent.

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

Based on the information provided above, we have the following system of equations;

1/2(y) = -x + 5       ......equation 1.

2y = -4x + 20       ......equation 2.

By multiplying both sides of equation 1 by 4, we have the following:

4 × 1/2(y) = (-x + 5) × 4

4y = -4x + 20

In this context, we can logically deduce that equation 1 and equation 2 are equivalent.

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Complete Question:

Choose the correct equation type for each system. (Equivalent, Inconsistent, Consistent)

Answer:

you can't add or subtract numbers that don't have the same variable or the same exponent

Answer:

You cannot combine the terms \(8a^2\) and \(8a\) because they are not like terms, which are terms that consist of both the same power, and the same variable. Seen with the two terms given, they both share the same variable (\(a\)), but not the same power (\(2\)).

Answer:

Step-by-step explanation:here is a example:Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.

The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by volume=7x(2x+1)=14x2+7x

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

Answer:

y = 3r + 2.

Step-by-step explanation:

hope this helps.

Answer:

the answer is y=3x+2

Step-by-step explanation:

did the test

hope this helps

have a good day

The translation T‹1, -3› (x, y) can be expressed as a composition of a horizontal translation and a vertical translation as (x + 1, y - 3).

To express the translation T‹1, -3› (x, y) as a composition of a horizontal translation and a vertical translation, we can break it down into two separate translations:

Horizontal translation: T‹1, 0› (x, y)

This translation shifts the coordinates of a point horizontally by 1 unit without affecting the vertical position. It can be expressed as (x + 1, y).

Vertical translation: T‹0, -3› (x + 1, y)

This translation shifts the coordinates of a point vertically by -3 units without affecting the horizontal position. It can be expressed as (x + 1, y - 3).

Combining these two translations, we get the composition:

T‹1, -3› (x, y) = T‹0, -3› (x + 1, y) = (x + 1, y - 3)

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The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False.

The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.

This is a recursive problem where each player plays optimally. There are two players in the game. The child will pick the balls first and then the game owner takes turns. Both will pick the balls optimally in order to win.

In each turn, k balls can be picked from the box. The winner is the one who picks the last ball. If the child picks the last ball, they win otherwise the game owner wins.

The algorithm is as follows:

Algorithm - Pick Balls

1. Define a recursive function called PickBalls(n). The function takes one parameter as input, which is the number of balls remaining in the box.

2. Check if the number of balls remaining is less than or equal to k. If yes, then return True as the game has ended and the child has won.

3. If the number of balls is greater than k, then pick k balls from the box.

4. If the child picks the last ball, then return True.

5. If the child does not pick the last ball, then the game owner picks the balls recursively.

6. If the game owner picks the last ball, then return False. Otherwise, return True.

Explanation: We are designing a recursive algorithm to find out whether the child will win or lose in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. We are assuming that both players play optimally. The algorithm works as follows:

If the number of balls remaining in the box is less than or equal to k, then the child can pick all the balls and win the game. Therefore, the function returns True.

If the number of balls remaining in the box is greater than k, then the child picks k balls from the box. If the child picks the last ball, then they win the game. Therefore, the function returns True.

If the child does not pick the last ball, then the game owner picks the balls recursively. If the game owner picks the last ball, then they win the game. Therefore, the function returns False. If the game owner does not pick the last ball, then the child picks again and the process repeats itself. If the child eventually picks the last ball, then they win the game. Therefore, the function returns True.

Conclusion: The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.

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Answer: 1/36

Explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 4 and a 4.

It's important to understand that the two rolls of the number cube are independent events because the results of one role does not affect the results of the other roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

So let's first find the probability of rolling

a 4 with our first role of the number cube.

We can find the probability of an event using the following ratio:

number of favorable outcomes over total number of outcomes

Since there's only one way to roll a 4 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 4 is 1/6.

Next, we find the probability of rolling a 4 with our second roll of the number cube, which would also be 1/6.

Now, to find the probability of rolling a 4 and a 4,

we simply multiply the probabilities.

Now multiply 1/6 x 1/6 by multiplying across the top and bottom.

This gives us 1/36.

So the probability or likelihood of rolling a 4 two times in a row is 1/36.  

Answer:

see my best explain for this!

The least possible positive difference between the integers is 13.

First we have to know what an integer, which is a single whole number without fractions or decimal numbers e.g. 1,2,3,4,5,6,7,8,9

So now we are to find the least possible positive difference between two digit integers with combination of 2,4,6,9

So first, since it has to be the lowest difference, we have to look between these numbers for the lowest difference between the given integers, 6-4 = 2, 4-2 = 2, now the rest of the combination will give numbers higher that 2, e.g. 9-6 = 3, 6-2 = 4, 9-4 = 5, 9-2 = 7, so we can say our two digit integers can start with either 4 and 2, or 6 and 4, which is the tens in the two digit integers, so to get the least difference in this values, the units number of the bigger two digit integer will be smaller than the units number of the smaller two digit integers

So let's take the number 2, and 4

The bigger two digit integer will obviously start will 4, and since it's supposed to have the smaller units number, the two digit integer will be 46, and the second two digit integer will be 29, the finding the difference

We have 46-29=17

The taking the other combination of integer to give the smallest value, which was 2, (6 and 4) then giving the units number of the bigger integer which will be the smaller units number value (2), that two digit integer will be 62, and the other 49, finding the difference

62-49= 13

So therefore the least possible positive difference = 13

Hence we get the required answer.

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The value of Ax is approximately 69.9 km/h and the value of Ay is approximately 49.3 km/h.

To find the values of Ax and Ay, we can use trigonometry. The given information tells us that the magnitude of the vector resulting from the combination of Ax and Ay is 86 km/h, and the angle between this vector and Ax is 35 degrees.

We can use the cosine and sine functions to determine the components Ax and Ay:

Ax = 86 km/h * cos(35°)

Ay = 86 km/h * sin(35°)

Using a calculator, we can evaluate these expressions:

Ax ≈ 69.9 km/h (rounded to the nearest tenth)

Ay ≈ 49.3 km/h (rounded to the nearest tenth)

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Interior angle-

All interior angles of a regular polygon are equal. The formula for calculating the magnitude of the interior angle is:

Interior angle of polygon = sum of interior angles ÷ number of sides. The sum of the exterior angles of a polygon is 360°.

Exterior angle-

An exterior angle is an angle that is parallel to, but outside, the interior angle of a polygon. The exterior angle measurement is equal to the sum of the two opposite interior angles.

according to the question,

given data

interior angle=8 exterior angle

we know that,

interior angle+ exterior angle=180

let us consider ,

exterior angle=x

so we can say that,

8 exterior angle + exterior angle =180

8x+x=180

9x=180

x=20

we know that ,

the number of sides=360/x

=360/20

=36/2

=18

the number of sides of the polygon is 18

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The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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After evaluation, the resultant value of the function f(2009) is 1.9021.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Any input for x results in a single output for y.

Considering that x is the input value, we would state that y is a function of x.

So, evaluate f(2009) as follows:

Given that f(x) is a function with all positive real numbers satisfying the requirement that f(x) > 0 and for all x > 0 and also:

\(\begin{aligned}&f(x-y)=\sqrt{f(x y)+1} \\&x > 0, y > 0 \\&\text { for, } x=1, \text { and } y=\frac{1}{2} \\&f\left(1-\frac{1}{2}\right)=\sqrt{f\left(1 \times \frac{1}{2}\right)+1} \\&f\left(\frac{1}{2}\right)^2=f\left(\frac{1}{2}\right)+1 \\&f\left(\frac{1}{2}\right)=\frac{1+\sqrt{5}}{2}\end{aligned}\)

Now, consider: x = 2009 and y = 0

\(\begin{aligned}&f(2009-0)=\sqrt{f(2009 * 0)+1} \\&f(2009)=\sqrt{f(0)+1} \\&f(2009)=\sqrt{f\left(\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}\right)+1} \\&f(2009)=\sqrt{\sqrt{f\left(\frac{1}{\sqrt{2}} * \frac{1}{\sqrt{2}}\right)+1}+1} \\&f(2009)=\sqrt{\sqrt{f\left(\frac{1}{2}\right)+1}+1} \\&f(2009)=\sqrt{\sqrt{\frac{1+\sqrt{5}}{2}+1}+1} \\&f(2009)=\sqrt{\sqrt{\frac{3+\sqrt{5}}{2}}+1} \\&f(2009)=\sqrt{\sqrt{5.2362}+1} \\&=\sqrt{3.6180} \\&=1.9021\end{aligned}\)

Therefore, after evaluation, the resultant value of the function f(2009) is 1.9021.

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Answer:

The probability of her not choosing yellow is 6/22.

Step-by-step explanation:

The probability that she chooses a blue skittle is 6/23 since she eats one blue skittle the total decreases to 22. So the probability of her not choosing yellow is 6/22

Step-by-step explanation:

One's digit of N can be 2 or 7.

Answer:

Step-by-step explanation:

If the number ends in 0 or 5 those are the only two results that 5 will divide into a number evenly.

For example 105/5 = 21

And example 1020/5 = 204

So if you want a  remainder of 2, there are 2 ways to get it.

1) If the number ends in a two, you will get a remainder of 2. That's because 0 + 2 will give 2.

For example 252 / 5 = 50 with a remainder of 2

2) The other way is if the end number is 7.

3347 / 5 = 669 with a remainder of 2.

The reason this works is if you subtract 2 from the number given then the units digit will be either 0 or 5. Those two endings result in even division.

0.76 is 0.01 greater than 0.75.

Step-by-step explanation:

0.75+x=0.76

x=0.76-0.75

x=0.01

In percent

0.01/0.76 * 100%

1.32%

The decimal number 0.75 is -0.01 more bigger than the decimal number 0.76.

Given are two decimal numbers:

0.75 and 0.76

It is required to find how much bigger is the decimal number 0.75 compared to that of 0.76.

For that, the operation of subtraction has to be done.

Here, the number which is considered bigger is 0.75. So, the number from which the other number has to be subtracted is 0.75.

So, subtract 0.76 from the decimal number 0.75.

0.75 - 0.76 = -(0.76 - 0.75)

                  = -0.01

Hence, the decimal number, 0.75 is -0.01 more bigger than 0.76.

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2:5 cause 1dk, I don't get pa1d to explain things <A j0ke even thought I don't get pa1d,

Answer:

B:80%

Step-by-step explanation:

15% +5%=20%

100%-20%=80%