If three music CDs cost $34.99, what is the cost of 8 CDs? State the answer and write a proportion that could be used to solve the problem. Round the answer to the nearest cent.

Answer:

Brandon's methot is not correct

for example: x=9 9×1/2=4.5

Here's why:

Let's use his method to find the square root of 36. That means we multiply 36 by 1/2 = 0.5 to get 36*0.5 = 18; however, 18 is not the square root of 36. We can see that 18*18 = 324. Instead, the square root of 36 is 6 because 6*6 = 36.

As another example, let's say we want to find the square root of 64. With Brandon's method, we would get to 64*0.5 = 32, but 32*32 = 1024. Ashley's method is correct and 8*8 = 64 shows that 8 is the square root of 64.

As a visual approach, think of a square with side lengths 8 feet each. The area would be 8*8 = 64 square feet. If you didn't know the side length, but you knew that the area was 64 square feet, then you could apply the square root operation to find the side length to be 8 feet (or you could effectively use Ashley's guess-and-check method to arrive at 8 feet). In short, the square root operation is the opposite of squaring a number. We consider these inverse operations.

Multiplying by 1/2 is the same as dividing by 2. Division is the opposite of multiplication, and division is not the inverse of squaring a number. It's just a coincidence that Brandon's method happened to work on the value 4. But as shown earlier, it doesn't work in general.

Answer:

$24

:))))))))))))))))))))))))))))

Answer:

24.00 making the total cost of the meal 144 dollars

Step-by-step explanation:

make me brainliest please

Answer:

1) m∠U = 90°

2) m∠C = 80°

Step-by-step explanation:

1) The given figure is a quadrilateral

The sum of the interior angles of  quadrilateral = 360°

∴ The sum of the interior angles of the given figure = 360°

Therefore, we have;

80° + 24·x + 4 + 6 + 21·x + 90° = 360°

80° + 45·x + 10  + 90° = 360°

x = (360°- (80° + 10° + 90°))/45 = 4

x = 4

m∠U = 6 + 21·x = 6 + 21 × 4 = 90

m∠U = 90°

2) The sum of the interior angles of the given quadrilateral = 360°

∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°

86·x + 16 = 360°

x = (360° - 16°)/86 = 4

x = 4

m∠C = 20·x = 20 × 4 = 80

m∠C = 80°

3) In the figure, some angles are left out, therefore, more information on the remaining angles required

To calculate how many months it will take to have four months of rent saved for a chosen rental property, we need specific information about the rental property's monthly rent.

To determine the number of months required to save four months of rent, we divide the total savings amount from Part 1 by the monthly rent of the chosen rental property. This will give us the number of months it will take to accumulate the equivalent of four months' rent. By knowing the specific monthly rent, we can divide the savings amount by the monthly rent and obtain the answer in terms of months. Please provide the monthly rent, and I will perform the calculation for you.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

whats the question

Step-by-step explanation:

thats the answer

The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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Answer:

18 doses

Step-by-step explanation:

Since it says each dose is a ounce.

Da dog is undefined. You have not placed any meaning on what the variable, 'da dog' is. Therefore, your question is invalid.

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Hope this helps!

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

C. \(13x^2-10x+17\)

Step-by-step explanation:

\(\left(3x^2+11x+20\right)+\left(10x^2-21x-3\right)\)

Remove brackets:

\(3x^2+11x+20+10x^2-21x-3\)

Group similar terms together:

\(3x^2+10x^2+11x-21x+20-3\)

Add/subtract the \(x^2:\)

\(13x^2+11x-21x+20-3\)

Add/subtract the \(x:\)

\(3x^2-10x+20-3\)

Add/subtract the numbers:

\(13x^2-10x+17\)

Answer:d

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

For every question, there should be 1 answer.

There are 4 answers for the 4 questions

4 times 4 = 16

27.3

Step-by-step explanation:

Here, we can add the outside sides of the trapezoid, which are already given:

6 + 6 + 9 = 21

Then for the circle, we can find half of the circumference with πr. The diameter of the circle is 4 (given), so the radius (half the diameter) is 2.

Thus,

π(2) ≈ 6.28

By adding all of these parts, you get

21 + 6.28 = 27.28

Which, rounded to the tenths is 27.3

Answer:

52.4

Step-by-step explanation:

The perimeter of a Trapezoid:

P=a+b+c

6+15+8+8=37

The perimeter of a semicircle:

\(L=\pi r+d= 3\pi+6\\=15.4248 \\=15.4\)

Add both together:

37+15.7=52.4

The measure of side RS is 28.4 units.

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

In order to find the measure of side RS, just find the ratio or fraction of the corresponding sides of the two figures. That is:

OP/ST = NO/RS

19/60 = 9/RS

RS = (9 * 60)/19

RS = 28.4 units

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Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

The simplification of the expression 6 + (5 + x) is 11 + x

6 + (5 + x)

Based on the associative property

= (6 + 5) + x

Add 6 and 5

= 11 + x

Associative property states that the rearranging of parenthesis in an expression will not change the result.

Commutative property on the other hand states that the numbers on which we operate can be interchanged or moved from their position without making any difference to the result.

Ultimately, the results of 6 + (5 + x) is 11 + x

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Using the concept of equations, it will take Maahum 11 weeks to save enough money to buy the new bike by saving $20 per week.

To find out how long it will take Maahum to save enough money for her new bike, we can set up an equation.

Let's assume she needs to save x weeks to reach her goal.

Given:

Amount saved per week = $20

Cost of the new bike = $470

Amount she received as a bursary = $250

Total amount she needs to save = Cost of the new bike - Bursary amount

Total amount she needs to save = $470 - $250 = $220

Now, we can set up the equation:

Amount saved per week * Number of weeks = Total amount she needs to save

$20 * x = $220

Let's solve the equation above;

x = $220 / $20

x = 11

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Fraction : Word problems may involve fractions if we are dealing with partial values coming from a whole.

Total number of pages she read on Monday are 50 pages .

Total number of pages she read on Tuesday are 40 pages .

Operations with Fractions:

we have to remeber some important rules, making fractions similar for addition and subtraction, and applying the reciprocal for the divisor in division. The operations would depend on the analysis of the problem.

We have given in the problem that on Monday, Saumya read 1/3 of a book and on Tuesday, she read 2/5 of the remaining pages. After those, the remaining number of pages is 60

Firstly, we have to find the total number of pages the book has.

We will begin by finding the remaining fraction of pages after Saumya read on Monday. We will subtract 1/3 from 1 whole since she read from the beginning of the book.

1 − 1/3 = 2/3

Now, we know that on Tuesday, Saumya began reading with 2/3 remaining in the book. We will now find the fraction of the pages Saumya read on Tuesday. We know that it's 2/5 of the remaining pages, so it's 2/5 of 2/3

=> 2/5× 2/3 = 4/15 of the total number of pages of the book on Tuesday. So now, we will find the total fraction of the number of pages of the book that Samuya has read so far. This is so we can compare this fraction with the number of pages remaining. For this, we will add

1/3 + 4/15 = (5 + 4)/15 = 9/15

then 1 - 9/15 = (15-9)/15 = 6/15

This means that there would be another 6/15

= 2/5 of the book remaining and

that the remaining 2/5 of the book = 60 pages the total number of pages = 60/2/5

= 60×5/2 = 150

Therefore, the book has a total of 150 pages.

Total number of pages she read on Monday

= 1/3 of 150 = 50 pages

Total number of pages she read on Tuesday

= 4/15 of 150 = 40 pages

Hence, the total number of pages she read on Monday and Tuesday are 50 pages and 40 pages respectively.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

A. S(n) = $25,000 + $6,000n

B. S(8) = $73,000

Step-by-step explanation:

A. The equation for S(n), the amount of sales, in years, of the sports injury products in n years is:

S(n) = $25,000 + $6,000n

Where n is the number of years after the first year.

B. To find S(8), we substitute n = 8 into the equation above:

S(8) = $25,000 + $6,000(8)

S(8) = $73,000

Therefore, the amount of sales of sports injury products in 8 years is $73,000.

The area of the region that lies inside the first curve and outside the second curve is 2π/3 - 2.

The first step is to find the intersection points of the two curves. The intersection points are at θ = 0, π/2, and 2π.

The next step is to use the polar coordinate formula for area to find the area of each curve. The area of a polar curve is given by the formula A = 1/2 ∫ θ1 θ2 r(θ)^2 dθ.

The area of the first curve is A1 = 1/2 ∫ 0 π/2 (1 cos(θ))^2 dθ = π/3.

The area of the second curve is A2 = 1/2 ∫ 0 π/2 (2 - cos(θ))^2 dθ = 2 - π/3.

The area of the region that lies inside the first curve and outside the second curve is A = A1 - A2 = 2π/3 - 2.

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Answer:

20

Step-by-step explanation:

Answer: 0.512

Step-by-step explanation:

256/32=8

8*(0.4)^3=

8*0.064=0.512

y=0.512

The value of y is 0.8 when x is 256.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

x is directly proportional to the cube of y.

Implies that,

x ∝ y³

Or x = k . y³        (1)

Here, k is a constant.

Substitute x = 32 and y = 0.4 in equation (1),

32 = k (0.4)³
32 = k (64/1000)

k = 1000/2

k = 500

To find the value of y when x = 256 and k = 500,

From equation (1)

256 = 500 y³

y³ = 256 / 500

y³ = 64/ 125

y = 4/5

y = 0.8

The required value of y is 0.8 when x = 256.

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Answer:

m = 1/2

Step-by-step explanation:

\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)

Answer:

−6.3 + d > 4 1/2

Step-by-step explanation:

The person before me had the incorrect answer. Trust me I have the right answer.

a) Relationship between corresponding sides: the corresponding sides are parallel and have a ratio of k in length.

b) Relationship between corresponding sides' orientations: The corresponding sides will still be parallel to the original sides.

c) Relationship between corresponding angles:the corresponding angles are congruent.

What do you mean by congruent angles?

Congruent angles are angles that have the same measure or size. In other words, if two angles have the same number of degrees or radians, they are said to be congruent. When we say that two angles are congruent, it means that they are exactly the same shape and size, and they can be superimposed on each other without any rotation or scaling. Congruent angles play an important role in geometry, as they allow us to prove that two figures are similar or congruent.

To apply a dilation with scale factor k centered at the origin, we multiply the coordinates of each vertex by k. So, to find the coordinates of A', B', and C', we will multiply the coordinates of A, B, and C by the scale factor.

a) The relationship between corresponding sides in terms of their lengths:

Let's denote the scale factor by k. The distance between two points (x1, y1) and (x2, y2) is given by the distance formula, which is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

When we multiply each coordinate by k, the distance between the two points is multiplied by k as well. So, if AB has length dAB and A'B' has length dA'B', we have:

dA'B' = k * dAB

Similarly, we can find the relationship between the lengths of BC and B'C', as well as between the lengths of AC and A'C'.

b) The relationship between corresponding sides in terms of their orientations:

The orientation of a line is given by its slope. If two lines have the same slope, they are parallel or collinear. If they have slopes that are negative reciprocals of each other, they are perpendicular. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. So, if the slope of AB is mAB and the slope of A'B' is mA'B', we have:

mA'B' = k * mAB

We can use this to find the relationship between the slopes of BC and B'C', as well as between the slopes of AC and A'C'.

c) The relationship between corresponding angles in terms of their measures:

The measure of an angle is determined by the slope of the line that contains the angle. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. This means that the measure of any angle that includes the origin is unchanged by the dilation. However, the measure of any angle that does not include the origin is multiplied by a factor of k. So, if angle ABC has measure x and angle A'B'C' has measure y, we have:

y = k * x

We can use this to find the relationship between the measures of angles BAC and B'A'C', as well as between the measures of angles CBA and C'B'A'.

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Answer:

not positive or negative

Step-by-step explanation:

It is 0 but i would say it is positive nor negative :)

0, It not really postive or negative

37 + -37 = 0 =

Neither negative nor positive

:/

Answer:

it's B

Step-by-step explanation:

14

Answer: B

11 - (-3) = 14.

-3 + 3 = 0.

11 + 3 = 14.

The answer is B, 14.

Hope it helps!

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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