-12 + 6x = 6 + 5(x - 2)

Please help and EXPLAIN

Answer:

B

Step-by-step explanation:

The required expression is given by C=0.75d which shows the Total cost of D donuts in dollars. Option B is correct.

Given that,

A grocery store charges $0.75 per donut. Which equation can be used to find c, the total cost, in dollars, to buy d donuts is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Cost of a donut = 0.75
Cost of d donut = 0.75 d
C = 0.75d

Thus, the required expression is given by C=0.75d which shows the Total cost of D donuts in dollars. Option B is correct.

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Tom's insider trading is an example of unethical behavior involving the exploitation of non-public information for personal financial gain.

Insider trading refers to the buying or selling of securities based on material, non-public information about a company. In this scenario, Tom, as the manager of Happy Feet, possesses insider information about the company's financial status, performance, or other material information that is not available to the general public.

By using this privileged information to make personal trading decisions, specifically selling his stock in the company, Tom is engaging in insider trading. This behavior is considered illegal and unethical in most jurisdictions, as it undermines the principles of fair and transparent markets.

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Answer: need pictures

Step-by-step explanation

Answer:

1

Step-by-step explanation:

GCF of 343 and 477 is 1, because no number can multiply and get both of them.

The greatest common factor of 343 and 477 is 1, indicating that the two numbers have no common factors other than 1.

To find the greatest common factor (GCF) of 343 and 477, we can determine the common factors of both numbers and identify the largest one.

First, let's list the factors of each number:

The factors of 343 are: 1, 7, 49, 343.

The factors of 477 are: 1, 3, 9, 53, 159, 477.

Now, we identify the common factors from both lists: 1.

Therefore, the greatest common factor of 343 and 477 is 1.

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Answer:

2 13/50

Step-by-step explanation:

gogle

On solving the expression 2 + (4/5) - (3/20), we get 53/20.

Given is the expression -

2 + (4/5) - (3/20)

The given expression is -

2 + (4/5) - (3/20)

Now, solving further, we get -

2 + (4/5) - (3/20)

2 + 4/5 - 3/20

(40 + 16 - 3)/20

53/20

Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.

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If p = 20

q = 5

\({ \sf{3p - \frac{2q}{5}}} \\ \\ \\ { \sf{3(20) - \frac{2(5)}{5}}} \\ \\ \\ { \sf{60 - 2 = 58}}\)

Answer: 10

Step-by-step explanation:

Substitute : 3(20) - 2(5) / 5

Combine Like Terms : 60 - 10 = 50

50 / 5 = 10

Answer:

-1280

Step-by-step explanation:

10×(-2)= -20

-20×(-2)= 40

4th term: 40×(-2)= -80

5th term: -80×(-2)= 160

6th term: 160×(-2)= -320

7th term: -320×(-2)= 640

8th term: 640×(-2)= -1280

The domain of \(f(x)=\sin^{-1}x\) is \([-1, 1]\) and the range is \([-π/2, π/2]\).

This is because the inverse sine function, \(sin^{-1}x\), is defined only for values of x between -1 and 1, resulting in a domain of \([-1, 1]\). The range of \(sin^{-1}x\) is the set of all possible output values, which are angles between \(-π/2\) and \(π/2\).



Therefore, the domain of \(f(x)=\sin^{-1}x\) is \(\boxed{[-1, 1]}\) and the range is \(\boxed{[-π/2, π/2]}\).

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The change-of-coordinates matrix from basis B to basis C is given by the matrix [3 -4; -1 1]. This matrix allows us to convert coordinates expressed with respect to basis B to coordinates expressed with respect to basis C.

The change-of-coordinates matrix from basis B to basis C can be determined by expressing the basis vectors of C in terms of the basis vectors of B. In this case, we are given B = {b1, b2} and C = {c1, c2}, where b1 = (1, 2), b2 = (-2, 1), c1 = (1, 1), and c2 = (2, -1). To find the change-of-coordinates matrix, we express c1 and c2 in terms of b1 and b2 and arrange the coefficients in a matrix. The first column of the change-of-coordinates matrix corresponds to the coefficients of b1 in terms of c1 and c2. To find these coefficients, we solve the equation c1 = x1 * b1 + x2 * b2, where x1 and x2 are the unknown coefficients. Using the given values, we have (1, 1) = x1 * (1, 2) + x2 * (-2, 1). Solving this system of equations, we get x1 = 3 and x2 = -1. Similarly, for the second column of the change-of-coordinates matrix, we solve the equation c2 = y1 * b1 + y2 * b2, where y1 and y2 are the unknown coefficients. Substituting the values, we have (2, -1) = y1 * (1, 2) + y2 * (-2, 1). Solving this system, we find y1 = -4 and y2 = 1.

Therefore, the change-of-coordinates matrix from basis B to basis C is:

[3  -4]

[-1  1]

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Answer:

If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc.

In the book "Sarah, Plain and Tall" by Patricia MacLachlan, Anna, one of the main characters, describes what she thinks the prairie looks like after the hail storm.

After the hail storm, the prairie is likely to have undergone some visible changes. Hail storms can cause damage to crops, vegetation, and the overall landscape. It's possible that Anna perceives the prairie as altered or damaged due to the hail storm.

Given Anna's deep connection to the prairie and her love for the natural world, it is likely that she feels concerned and saddened by the effects of the storm. The prairie holds great significance to Anna and her family, representing their home and way of life. Therefore, she may have mixed emotions of worry and sadness, hoping for the prairie to recover and return to its previous beauty.

Anna's observations and thoughts about the prairie after the hail storm may also reflect her resilient and optimistic nature. Despite the temporary changes caused by the storm, Anna may find solace in the knowledge that the prairie has the ability to heal and rejuvenate over time. She may view it as a natural cycle, understanding that the prairie will eventually flourish once again.

In summary, while the exact thoughts of Anna about the prairie after the hail storm are not explicitly stated in the book, we can infer that she experiences a mixture of concern, sadness, and hope for the prairie's recovery. The book portrays Anna as a character deeply connected to the land, making her emotional response to the storm's impact on the prairie significant and meaningful.

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The distance of Miles' destination is 175 miles.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The map is a scale drawing of a larger town. The scale drawing is reduced by constant dimensions.

\(\sf Actual \ distance = \dfrac{(25 \times 7)}{1} = \bold{175 \ miles}\)

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Elena's yearly cash inflows from the project after the payback period is $15,000. A correct answer is an option (b).

The payback period is the time it takes for the project's cash inflows to equal the initial investment. In this case, the payback period is 6 years, meaning that after 6 years, Elena will have received enough cash inflows to recover her initial investment of $150,000.

Since the project pays Elena an even amount per year for 10 years, and the payback period is 6 years, she will receive cash inflows for an additional 4 years after the payback period. Therefore, to calculate Elena's yearly cash inflows, we divide the remaining cash inflows by the number of years remaining:

Remaining cash inflows = $150,000 (initial investment) - cash inflows received during the payback period

= $150,000 - ($15,000 x 6)

= $60,000

Yearly cash inflows = Remaining cash inflows/number of years remaining

= $60,000 / 4

= $15,000

Hence, B is the correct option.

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Answer

18

Step-by-step explanation:

I hope this helps

Answer:

18

Step-by-step explanation:

Use the order of operations here to solve your expression.

First do Parentheses, then Exponents, Multiplication and Division, and Addition and Subtraction. An easy way to remember this is PEMDAS.

Let's dive right in,

\(-3^{2}-7*-3+6\\-9-7*-3+6\\-9+21+6\\12+6\\18\)

In conclusion, the value of this expression is 18. Hope this helped :D

Edit: fixed an error (did 3^2 instead of -3^2)

Answer:

The equation 81a^2 + 5b^2 cannot be factored further as a polynomial expression because it is in the standard form of a sum of squares, and the coefficients are not perfect squares. Factoring a sum of squares means writing it as the product of two binomials, each of which is the square root of one of the terms. Since 81 and 5 are not perfect squares, the equation 81a^2 + 5b^2 cannot be written as the product of two binomials.

The equation  \(81a^2 + 5b^2\)  cannot be written as the product of two binomials.

An equation is defined as an expression that shows the relationship between two or more numbers and variables.

Given equation as  \(81a^2 + 5b^2\)  

Since we know that Factoring a sum of squares means writing it as the product of two binomials, each of that is the square root of one of the terms.

Hence, 81 and 5 are not perfect squares.

The given equation \(81a^2 + 5b^2\) cannot be factored further as a polynomial expression because it is in the standard form of a sum of squares, and the coefficients are not perfect squares.

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Given:

Consider the population of California = \(3.9\times 10^7\)

Consider the population of Maine = \(1.3\times 10^6\)

To find:

The difference between the population of California and Maine.

Solution:

We have,

Population of California = \(3.9\times 10^7\)

Population of Maine = \(1.3\times 10^6\)

Difference between the population of California and Maine is

\(\text{Difference}=3.9\times 10^7-1.3\times 10^6\)

\(\text{Difference}=3.9\times 10^7-(0.13\times 10)\times 10^6\)

\(\text{Difference}=3.9\times 10^7-0.13\times 10^7\)

\(\text{Difference}=(3.9-0.13)\times 10^7\)

\(\text{Difference}=3.77\times 10^7\)

Therefore, the correct option is D.

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.

The main trigonometric ratios for a right triangle are presented below.

                \(sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}\)

For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.

Thus, you can apply the tan(x).

                       \(tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}\)

After that, you should calculate the arctan(x).

                           \(arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}\)

Then x= 52.1°

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The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

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The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

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Answer:

3fufufuifjfjfjfjfjfnfnff

Answer:

mathematics is important so you know how to solve problems. there are a lot of ways in the future you might use math. you use math in other subject too.

Step-by-step explanation:

the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

To determine how often the hotel should use the pickup-and-delivery service, we need to compare the costs of storing the dirty towels and clean towels with the costs of the pickup-and-delivery service.

Let's calculate the costs of storing the towels:

Dirty towel storage cost per day: 600 towels x $0.02 = $12 per day

Clean towel storage cost per day: 600 towels x $0.01 = $6 per day

Next, let's calculate the costs of the pickup-and-delivery service:

Fixed charge per pickup and delivery service: $81

Variable cost per towel: 600 towels x $0.60 = $360

Now, let's compare the costs:

If the hotel uses the pickup-and-delivery service every 10 days, the total cost would be:

10 days  ($12 + $6) + $81 + $360 = $267

If the hotel uses the pickup-and-delivery service every 9 days, the total cost would be:

9 days  ($12 + $6) + $81 + $360 = $255

Since the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

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Answer: 46 degrees

Step-by-step explanation:

Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.

Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.

Jordan was reading 26 pages more than jessica

Answer:

4

Step-by-step explanation:

420km

Therefore , the solution of the given problem of inequality comes out to be  150 units per employee, to satisfy the production demand.

Despite the fact that algebra lacks a comparable symbol, its distinction can be expressed by a pair or collection for numbers. Equilibrium is typically followed by equity. The ongoing disparity in norms is what causes inequality. Disparity and fairness are not synonymous. Even though the components are typically not connected or situated closely together, that was our most popular symbol.

Here,

A) Assume Y is the number of units created and X is the number of employees. The following inequalities represent the circumstances in the issue:

=> 100 ≤ X ≤ 200 (the factory must have at least 100 but no more than 200 workers)

=> Y ≥ 30X (the factory must manufacture at least 30 units per worker)

B) The lines 100, 200, and 30X would form the borders of the darkened area.

C) The following three options meet the set of inequalities:

=> X = 100, Y = 3000

=> X = 150, Y = 4500

=> X = 200, Y = 6000

The factory in the second solution employs 150 people and generates 4500 units, or 150 units per employee, to satisfy the production demand.

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Answer:

(5, 6)

Step-by-step explanation:

(5, 6)

x, then y.

one grid space is one up or down.

Good luck mate :)