Solve: 3x = 0.5x^2
x = -6 or x = 0

x = -4 or x = 3

x = -2 or x = 1.5

x = 0 or x = 6

Answer:

Step-by-step explanation:

-12x + 3 = 51                Subtract 3 from both sides

-12x =51-3                    Combine

-12x = 48                      Divide by -12

x = 48/-12

x = - 4

The minimum cost to meet the minimum requirements is $1280.

To determine the minimum cost, we need to calculate the number of platters required to meet the minimum requirements for each item (hamburgers, hot dogs, and chicken wings) and then multiply it by the cost of each platter.

Let's calculate the number of platters required for each item:

For hamburgers:

80 hamburgers / 1 burger per platter = 80 platters

For hot dogs:

95 hot dogs / 1 hot dog per platter = 95 platters

For chicken wings:

380 chicken wings / 5 chicken wings per platter = 76 platters

Now, let's calculate the cost:

For Platter A:

80 platters * $16 per platter = $1280

For Platter B:

95 platters * $20 per platter = $1900

The minimum cost would be the lower of the two costs, which is $1280. Therefore, the minimum cost to meet the minimum requirements is $1280.

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Complete Question:

The Very Possible Foods Company makes vegan versions of hamburgers, hot dogs, and chicken wings, and they offer two platters. Platter A consists of 1 burger, 3 hot dogs, and 5 chicken wings, which costs $16. Platter B consists of 2 burgers, 1 hot dog, and 8 chicken wings, which costs $20.

A barbecue organizer requires 80 hamburgers, 95 hot dogs, and 380 chicken wings. (There can be leftovers, but these are the minimum requirements.) What is the minimum cost (in dollars)?

Answer:

16 students

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

Answer:

He is 200 meters south of his house.

Step-by-step explanation:

Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.

The sum of the reciprocals of all the positive factors of the perfect number 28 is 2.

A factor is a number that divides another number by itself and leaves no residue. In other words, if multiplying two whole numbers yields a product, the numbers being multiplied are factors of the result since the product is divisible by them. Factors may be found using two methods: multiplication and division. Factors are numbers that may be multiplied together to get another number.

Here,

The sum of the reciprocals of all the perfect number 28's positive elements is 2.

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According to the EPA Clean Water Act regulations, all of the water that day is safe to drink.

To safeguard the standard of drinking water in the United States, the Safe Drinking Water Act (SDWA) was created. This legislation applies to all waters that are now or conceivably intended for consumption, whether they originate from above-ground or subsurface sources.

The Act mandates that all owners or operators of public water systems adhere to these fundamental (health-related) criteria and gives EPA the authority to set minimum standards to safeguard tap water.

The 1996 modifications to the SDWA mandate that while setting these criteria, EPA takes into account a thorough risk and cost evaluation as well as the finest peer-reviewed science.

The attainment of secondary standards is also encouraged by state governments, which may be authorized to implement these EPA regulations.

In accordance with the Act, EPA also establishes minimum requirements for state programs to safeguard underground water sources from being endangered by fluid injection underground.

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The confidence interval to find the margin of error and the sample mean:

(0.256,0.380) The sample mean is the average value obtained from the sample data.

To find the margin of error and the sample mean, we need more information.

The confidence interval (0.256, 0.380) provides the range of possible values for the true population mean.

However, without knowing the sample size or the level of confidence associated with the interval, we cannot calculate the margin of error or the sample mean.

The margin of error is typically calculated by multiplying the standard error by the appropriate critical value, based on the desired level of confidence. The sample mean is the average value obtained from the sample data.

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Answer:

y=2(x+4)-3

Step-by-step explanation:

To make it parallel to y=2x+4, the slope needs to be the same

Point-slope form is: y=m(x-x1)+y1

In this case,

m = 2

x1 = -4

y1 = -3

So when put into point-slope form, it is y=2(x+4)-3

The standard form equation of the ellipse with vertices (±12,0) and foci (±9,0) is (x/12)^2 + (y/b)^2 = 1, where b represents the length of the semi-minor axis.

The vertices of the ellipse are given as (±12,0), which means the length of the semi-major axis is 12. The foci are given as (±9,0), indicating that the distance from the center of the ellipse to each focus is 9.

In the standard form equation of an ellipse, the denominators of the x and y terms represent the lengths of the semi-major axis and semi-minor axis, respectively. Since the semi-major axis is 12, the x term is (x/12)^2. The length of the semi-minor axis can be determined by subtracting the distance between the foci from the length of the semi-major axis, which gives us 12 - 9 = 3. Therefore, the y term is (y/3)^2.

Combining these terms, we get the standard form equation of the ellipse as (x/12)^2 + (y/3)^2 = 1.

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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It is insufficient proof that more than half of the students at the school recycle.

Given :

suppose that in the sample, 55 students said that they recycle.

It is insufficient proof that more than half of the students at the school recycle because: "Yes" was replied by 55 out of 100 pupils.

= 55 / 100

= 0.55

We can see that the proportion 0.55 of has a lot of dots above it in the dot plot.

As a result, a proportion of 0.55 is quite likely to be obtained when the genuine proportion is 0.5, and there is insufficient evidence to support the assertion that more than half of the school's students recycle.

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Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer:

Step-by-step explanation:

The general environment in the craft beer market is dynamic and highly competitive. The industry environment is characterized by factors such as consumer preferences, regulatory frameworks, technological advancements, and market trends. These factors directly influence a firm's competitive actions and responses.

The power of suppliers in the craft beer market can have a significant impact on a firm's operations. Suppliers of raw materials, such as hops and barley, can exert power through pricing, availability, and quality control. Craft breweries often strive to establish strong relationships with suppliers to ensure a steady and reliable source of high-quality ingredients.

The power of buyers also plays a crucial role in shaping the craft beer industry. Consumers have access to a wide range of craft beer options, which gives them the power to influence pricing and demand. Craft breweries need to understand and cater to consumer preferences to maintain a competitive edge and build customer loyalty.

The intensity of rivalry among competing firms in the craft beer market is high. Craft breweries face fierce competition from both established players and new entrants. Factors such as product differentiation, brand recognition, distribution networks, and pricing strategies contribute to the level of rivalry. Craft breweries must continually innovate and differentiate their offerings to stand out in this competitive landscape.

As for the growth stage of the craft beer industry, it is currently in the maturity stage. Over the years, the craft beer market has experienced significant growth, attracting numerous players and saturating the market to some extent. However, there is still room for further growth and expansion, especially in emerging markets and through product innovation. Craft breweries continue to adapt and evolve to meet changing consumer preferences and seize new opportunities.

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Answer:

5^15

and x^10

explanation:

when the base is the same you add the exponents (the numbers on top) so look above to see that they are just adding

32 x 134

Partial product: Multiply each digit of 32 by each digit of 134, maintain each digit place.

(30x100) + (30x 30) + (30 x4)+ (2 x 100) + (2x30) + (2 x 4)

3,000 + 900+120+200+60+8 = 4,288

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Answer:

try using a protractor

Step-by-step explanation:

when you use a protractor it can be easier and collect all like terms together

Answer:

What is it?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

y = -3x + 7

Step-by-step explanation:

Hello!

Slope-Intercept Form: y = mx + b

The y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.

We can find the slope by finding the Rise/Run.

The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.

Given the slope and y-intercept, the equation of the line is y = -3x + 7.

Answer:

x = \(\frac{3}{2}\), x = \(\frac{13}{2}\)

Step-by-step explanation:

Given

4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )

4x² - 32x + 39 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 4 × 39 = 156 and sum = - 32

The factors are - 26 and - 6

Use these factors to split the x- term

4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )

2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term

(2x - 13)(2x - 3) = 0

Equate each factor to zero and solve for x

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)

2x - 13 = 0 ⇒ 2x = 13 ⇒ x = \(\frac{13}{2}\)

Answer:

9/2

Step-by-step explanation:

Answer

the commisoin is 270

Given parameters:

Number of chairs  = 3

Number of tables = 4

Cost of 3 chairs and 4 tables = Rs 7540

Price of 1 table = Rs220

Unknown:

Price of 1 table  = ?

Solution:

Let the cost of 1 table = t

 So,

        3(220) + 4(t) = 7540

         660 + 4t = 7540

         4t = 7540 - 660

          4t = 6880

            t = Rs. 1720

The cost of 1 table is Rs. 1720

The third step in sketching the graph of a rational function is "Finding the function's zeros and vertical asymptotes and plotting them on a number line".

What is vertical asymptotes?

A graph's vertical asymptote is a vertical line with the equation x = a, where the graph tends to positive or negative infinity as the inputs get closer to the value of a. A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph approaches the line as the inputs go closer to ∞ or –∞.

The steps to sketch a graph of rational function:

1. Ensure that the function's denominator and numerator are listed in decreasing order of power.

2. Discover the domain

3. Completely factor the numerator and denominator. Any shared factors between the numerator and denominator should be eliminated. (Once factors have been cancelled, the reduced function is what remains. For all subsequent actions, employ the reduced function.) Skip Step 4 if there are no common factors.

4. Look for any holes

5. Search for any vertical asymptotes.

6. Find the Horizontal Asymptote.

7. Look for any x- and y-intercepts.

8. Locate test points

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Answer: The cat is 4 years old, and the dog is 6 years old.

Step-by-step explanation:

We know that Buddy is 2 years old than Fluffy.

And 3 years ago, Buddy was 3 times older than Fluffy.

Let's define the variables:

B = age of Buddy

F = age of Fluffy.

The first statement can be written as:

B = F + 2

The second statement can be written as:

B - 3 = 3*(F - 3)

To solve this, we can replace the first equation into the second one, and solve that for F

B - 3 = 3*(F - 3)

(F + 2) - 3 = 3*F - 9

F - 1 = 3*F - 9

-1 + 9 = 3*F - F

8 = 2*F

8/2 = 4 = F

Fluffy is 4 years old, and with the first equation we can find the age of Buddy.

B = F + 2 = 4 + 2 = 6

Buddy is 6 years old

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

Given ,

James's dog buddy is 2 years older than Fluffy,

And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.

Let ,

The age of buddy = B

The age of fluffy is = F

According to the question ,

Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.

B = F +2

Again According to the question,

Three years ago age of Buddy = B - 3

Three years ago age of Fluffy = F - 3

Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy

B - 3 = 3 ( F - 3 )

Solving the equations,

B - 3 = 3 ( F - 3 )

Put the value of B from equation 1

F + 2 - 3 = 3 ( F -3 )

F - 1 = 3F - 9

F - 3F = - 9 +1

-2F = -8

2F = 8

\(F = \frac{8}{2}\)

F = 4

The age of fluffy is 4 years old.

Then ,

The age of buddy

B = F + 2

B = 4 + 2

B = 6

The age of buddy is 6 years old.

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

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Answer:

What is the question? Surface area? Volume?

Step-by-step explanation:

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.

To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).

1. The parentheses must be solved first: (2.219^2) = 4.924361

2. The exponents are solved next: there are none in this expression

3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741

4. The division is done next: (1/2)x48.30405741 = 24.143810005

5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005

Therefore, the simplified expression is 24.143810005.

Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81

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