Macy’s was offering a Memorial Day sale. The price of a shirt is now $21.25. The original price was $25. What is the percent of change from the original to the sale price?

Q does not have any subgroups that are isomorphic to z.

Assume, ⟨a/b⟩∈ ℚ,

Note that under this assumption a/2b ∈ ℚ, which is a rational number, would then be an integral multiple of (a/b), which it clearly is not; i.e. 1/2 × (a/b)

So the assumption that ℚ is generated by (a/b) cannot be true. Since (a/b) is arbitrary, this shows that ℚ is not generated by any element of ℚ, i.e., ℚ is not cyclic.

Since the additive group ℤ =⟨1⟩ is generated by a finite element and is thus cyclic, and ℚ is neither generated by a finite element nor cyclic, the two subgroups are clearly not isomorphic.

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Answer:

1. 480 inches^3

2. 6 inches tall, 8 inches wide, and 10 inches ong

Step-by-step explanation:

Answer:

3/7 × 2

= 6/7

= 0.857.

Step-by-step explanation:

°•°•°•°•°•°•°•°•°•

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:

IH

Hope this helps!

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

\(50 \leq x \leq 350\\\)

Step-by-step explanation:

The variable can change depending on the equation and the constant doesnot change .

Here, the variables are a,n

The constants are 16,-30,50

Answer:

(q + 64) ÷ 83

Step-by-step explanation:

(q + 64) ÷ 83

The answer is (q + 64) ÷ 83

To find the probability that the flatcar derails, we need to subtract the probability of it not derailing from 1. Since the flatcar has an 80% chance of getting through without derailing.

Therefore, the answer is b. 20%.

What is the probability that both the boxcar and the flatcar get through without derailing
Since the events of the boxcar and the flatcar derailing are independent, we can multiply their probabilities together.

The boxcar has a 90% chance of getting through without derailing (0.9) and the flatcar has an 80% chance (0.8), so the probability that both get through without derailing is

0.9 * 0.8 = 0.72 or 72%.

Therefore, the answer is d. 72%.

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

You want to put this in the form (x+b)^2 + c  

To do this take half of the coefficient of b from the ordinal form which is 6/2=3 as use this as your new b

This give you (x+3)^2.  

If you foil this out you get x^2 +6x +9 so you have added 9 to the original expression so now all you need to do is subtract 9 to keep things balanced  

The final expression then is (x+3)^2 -9

So c= -9

The completed square form of the original expression is (x+3)² - 9 and the value of c is -9.

To compute the square, you need to add and subtract a number inside the parentheses such that the resulting expression is a perfect square trinomial.

To determine the square of half of the coefficient of the x term, which is 3 in this case.

The square of 3 is 9, so you need to add and subtract 9 inside the parentheses to complete the square. The resulting expression will be:

(x+3)² + c

To find the value of c, you need to compare this expression to the original expression: x² + 6x + c.

The x² and (x+3)² terms are equal, so you can set them equal to each other and solve for c:

x² = (x+3)² + c

x² - (x+3)² =c

(x-x-3)(x+x+3) = c

(-3)(3) = c

-9 = c

Therefore, c = -9.

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The question seems to be incomplete the correct question would be

Complete the square:

x² +6x +c

find c

Answer:

The second choice is correct.

Step-by-step explanation:

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

The second choice that is B≥ C is correct.

The basics of this question requires us to read the number line perfectly

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

Thus option 2) is correct

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Answer:

how many cups of what were sold

Step-by-step explanation:

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Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

The solution to the inequality 4 ≤ -3x - 1 ≤ 9 is -5/3 ≥ x ≥ -10/3.

Given the inequality in the question;

4 ≤ -3x - 1 ≤ 9

To solve, first move all terms not containing x from center section of the inequality.

4 ≤ -3x - 1 ≤ 9

Add 1 to each sides of the inequality

4 + 1 ≤ -3x - 1 + 1 ≤ 9 + 1

4 + 1 ≤ -3x ≤ 9 + 1

Add 4 and 1

5 ≤ -3x ≤ 9 + 1

Add 9 and 1

5 ≤ -3x ≤ 10

Now, divide each term in the inequality by -3

5 / -3 ≥ -3x / -3 ≥ 10 / -3

Simplify

5 / -3 ≥ x ≥ 10 / -3

-5/3 ≥ x ≥ -10/3

Therefore, the solution is -5/3 ≥ x ≥ -10/3.

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The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

x<8 is correct

Step-by-step explanation:

Answer: 7/20

Step-by-step explanation :7/20 is 0.350 converted into a fraction

Answer:

(y+1)^3

Step-by-step explanation:

When dividing powers, subtract them. Therefore, 5-2 = 3. So, (Y+1)^5/(Y+1)^2 = (Y+1)^3

If Paul mows 3 lawns, he needs to wash at least 3 cars to earn enough money to buy the concert ticket.

Let's assume that Paul mows x lawns and washes y cars. Using the unitary method, we can find how much money Paul earns from mowing one lawn and washing one car.

Paul earns $30 for each lawn he mows, so he earns $30/1 lawn or $30 per lawn.

Similarly, Paul earns $15 for each car he washes, so he earns $15/1 car or $15 per car.

Now, to find the total amount of money Paul earns by mowing x lawns and washing y cars, we can use the following equations:

Total money earned = (Money earned per lawn) x (Number of lawns mowed) + (Money earned per car) x (Number of cars washed)

Total money earned = ($30/lawn) x (x lawns) + ($15/car) x (y cars)

Total money earned = $30x + $15y

We need to find the values of x and y such that the total money earned is at least $125, which is the cost of the concert ticket. So we can write:

$30x + $15y ≥ $125

We can simplify this equation by dividing both sides by $5:

$6x + $3y ≥ $25

Now we can find the values of x and y that satisfy this inequality. One way to do this is to use trial and error. We can start by assuming different values of x and finding the corresponding value of y that satisfies the inequality. For example:

If x = 2, then 6x = 12 and the inequality becomes:

12 + 3y ≥ 25

3y ≥ 13

y ≥ 4.33

So if Paul mows 2 lawns, he needs to wash at least 5 cars to earn enough money to buy the concert ticket.

Similarly, if we assume x = 3, then 6x = 18 and the inequality becomes:

18 + 3y ≥ 25

3y ≥ 7

y ≥ 2.33

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The equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, \(y=\frac{1}{2}x + \frac{5}{2}\).

What is slope intercept form of the line?

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. y = mx + b is the equation in slope intercept form.

Given:

The line passes through the points (7, 6) and (- 1, 2).

We have to find the equation of the line that passes through (7, 6) and (-- 1, 2) in slope-intercept form.

First to find the slope of the line using the formula,

Slope = m = \(\frac{y_2-y_1}{x_2-x_1}\)

Here, \((x_1, y_1)= (7, 6), (x_2,y_2)=(-1, 2)\)

Plug the values in the above formula.

\(m = \frac{2-6}{-1-7} = \frac{-4}{-8}=\frac{1}{2}\)

Now consider the point slope form of the line,

\(y-y_1=m(x-x_1)\\y-6=\frac{1}{2}(x-7) \\y-6=\frac{1}{2}x-\frac{7}{2}\\ y=\frac{1}{2}x -\frac{7}{2}+6 \\y=\frac{1}{2}x+\frac{5}{2}\)

Hence, the equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, \(y=\frac{1}{2}x + \frac{5}{2}\).

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There are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

What is the combination?

A combination is a choice of items from a group of different items where the order of the choices is irrelevant. Either the process of combining or the condition of combining. a combination of several things a mixture of thoughts. something created through fusion: A chord is made up of several notes.

Here, we have

Given: lacrosse balls come in 3 colors: red, yellow, and blue.

We have to find the different combinations of colors that are possible in a 6-pack of lacrosse balls.

We apply here combination formula and we get

= ⁶C₃

= (6×5×4×3!)/(3!×3×2×1)

= 20

Hence, there are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

C

Step-by-step explanation:

The quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

A parallelogram is a quadrilateral with two pairs of parallel sides.

As we know,

The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.

The quadrilateral, has:

Two pairs of congruent sides.

It has one pair of opposite congruent angles.

The diagonals of a kite are perpendicular.

One diagonal is bisected.

The top and bottom angles are bisected but does not have congruent diagonals.

A quadrilateral is a parallelogram if and only if it has two pairs of parallel sides.

Thus, the quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.

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Answer:

3 and 5.

Step-by-step explanation:

Let the 2 numbers be x and x + 2, then:

3(x + 2)^2 = 10x + 45

3x^2 + 12x + 12 - 10x - 45 = 0

3x^2 + 2x - 33 = 0

3x^2 - 9x + 11x - 33 = 0

3x(x - 3) + 11(x - 3) = 0

(3x + 11)(x - 3) = 0

x = 3, x = -11/3

We are only interested in the 3 as we are looking for an integer.

So, the answer is 3 and 3+2 = 5.

Answer:

68°

Step-by-step explanation:

This triangle is isosceles triangle, so RQS and QSR are equal,

SRQ= 180-56-56=68

Step-by-step explanation:

answer: a) both x are 16, it is an equalatrial triangle

b) (mark as the brainliest and i"ll give you the answer

Answer:

22

Step-by-step explanation:

You can use division because the angles are the same:

From the first one to the second you divide by 2

16/2=8

So that means x/2=11

So x=22

Answer:

27 cubic feet

Step-by-step explanation:

A pyramid is always 1/3 of a cube when it has the same base as a pyramid.

ALSO, thats why the volume of a square pyramid has 1/3 in it.

So, if the volume of this pyramid is 9 cubic feet then:

9 x 3 = 27 cubic feet

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