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Answer:

The value of rate of change in the equation [tex]T(d)=37.69d+60.22[/tex] is 37.69.

Step-by-step explanation:

Given the equation that models the total cost(T) is:

[tex]T(d)=37.69d+60.22[/tex]  where d is the drink you purchase.

To determine the rate of change:

1. An equation must be into the Slope-intercept form (y=mx+b).

2. m is the slope (rate of change) of the linear function.

3. b is the y-intercept of the linear function (y- intercept is where the line crosses the y-axis).

Since, the given equation is in the linear form i.e, [tex]T(d)=37.69d+60.22[/tex]

The rate of change(m) of the given equation is, 37.69.

Answer:

Step-by-step explanation:

Reciprocal of 6 is 1/6

[tex]12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\\\\12x > 18x-42\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7[/tex]

Answer:

The answer is x<7

Step-by-step explanation: Factor[12 x > -15 + 9 (-3 + 2 x)]. 12 x > 6 (-7 + 3 x). Then, you get 7 is greater than x. Hope this helps!

2,000 is the final answer

That's a good chapter!

Microeconomics explores the actions of individual agents within the economy, focusing on consumer behavior, production costs, and market structures. It discusses the reasons behind individuals' and firms' decision-making processes, emphasizing the importance of markets and the role of government intervention.

Understanding Microeconomics

Microeconomics is a branch of economics focused on the actions of individual agents within the economy, such as households, workers, and business firms. It dives into the fundamentals of consumer behavior, production and costs, and various market structures, including some aspects of game theory. The theory of the consumer and the theory of the firm are central to microeconomics, explaining how individuals and firms make decisions about what goods to buy or produce, and at what prices.

In microeconomics, key themes include individuals responding to incentives, the importance of markets in facilitating interactions among firms and households, and the role of government intervention. Chapters 5 through 10 cover the theories of consumer behavior, production and costs, and different market structures. Subsequent chapters delve into applied microeconomic policy issues like public goods, externalities, competition and antitrust policies, environmental challenges, poverty, and income inequality, among others. This comprehensive approach helps students understand not only the theoretical underpinnings but also the application of economic theory in addressing real-world issues.

Yes, I believe so, because the equation is already as simplified as it can be with the given information and the graph is correct for the equation given.

If I’m remembering correctly then yes

Answer:

c

Step-by-step explanation:

c 1/4>2

cause the and to that is 1/16

Answer: 35

Step-by-step explanation: The largest prime number less than 50 is 47, and the smallest composite number greater than 10 is 12 (do the math yourself if you're not sure about this).

To get your answer, subtract 12 from 47, like so:

47 - 12

Once you calculate that, you will receive an answer of 35

Answer:

The largest prime number less than 50 is 47, and the smallest composite number greater than 10 is 12 (do the math yourself if you're not sure about this).

To get your answer, subtract 12 from 47, like so:

47 - 12

Once you calculate that, you will receive an answer of 35

Step-by-step explanation:

Answer:

$5

Explanation:

Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.

Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.

   660=x50

From here, you have to solve for x. So cross multiply, and then simplify.

   60x=50⋅6

   60x60=50⋅6/60

   60x60=50⋅6/60

   x=5⋅6/6

   x=5

So the answer is $5.

Jerry earned about $76.98 for the day.

Jerry walked a dog from 6:40 am to 7:30 pm. To calculate how much he earned, we need to determine the total number of hours he worked.

First, we convert the end time into military time, which is 19:30.

Subtract the start time, 6:40, from the end time, 19:30.

Calculation:

Now, we use the rate of $6 per hour to calculate his earnings:

Earnings = Total hours * Rate per hour

Earnings = 12.83 hours * $6/hour = $76.98

Since Jerry worked a fraction of an hour, we included the approximate earnings up to two decimal places.

So, Jerry earned about $76.98 for the day.

so together the amount of people who chose beef should be 4/12 since you must find the greatest commen factor. Then you should add 4/12 and  24 im thinking and you would get 24.3333 but if your looking for a mix number it would be 24 3333/1000

hope this helps!

The question is a math problem involving the sum of fractions reflecting food choices at a wedding. By considering fractions and its equivalent counts, we find that the total number of guests at the wedding was 96.

The subject of this question is mathematics, specifically a problem dealing with fractions. To determine the total number of guests at the wedding, we need to consider all the meal choices and their counts. 1/3 of the guests chose pasta and 5/12 of them chose chicken. The rest, as given, were 24 guests who chose beef. To find the total, we need to convert fractions to a common denominator. In this case, 12 is a convenient choice:

Pasta: 1/3 = 4/12

Chicken: 5/12

So, 4/12 + 5/12 = 9/12 of the guests chose either pasta or chicken. Since the remaining guests chose beef, that means 24 guests represent the remaining 3/12 of the total guests. Therefore, if 3/12 of the guests is 24, one 'part' (1/12) is equal to 24/3, which is 8. That means the total number of guests (12 parts) is 12 * 8, which equals 96. Therefore, there were 96 guests at the wedding.

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Step 1. Simplify brackets

-3x + 7 -4(2x - 6) -12 > 7

Step 2. Cancel 7 on both sides

-3x -4(2x - 6) -12 > 0

Step 3. Expand

-3x - 8x + 24 - 12 > 0

Step 4. Simplify -3x - 8x + 24 - 12 to -11x + 12

-11x + 12 > 0

Step 5. Subtract 12 from both sides

-11x > -12

Step 6. Divide both sides by -11

x < -12/-11

Step 7. Two negatives make a positive

x < 12/11

The answer is x < 12/11.

Hey There!

8x^46=8x(40+

We move all terms to the left:

8x^46-(8x(40+)=0

The Distributive Property of multiplication, a fundamental concept in mathematics, was used to show that 8 x 46 = 8 x (40 + 6), which simplifies to 320 + 48 = 368.

The question is asking you to use the Distributive Property of multiplication, a rule in arithmetic that states that the product of a number and a sum, i.e., a(b + c), is equal to the sum of the products of that number and each term in the sum, i.e., ab + ac.

In this case,

8. x 46 = 8 x (40 + 6)

Using the Distributive Property, you would multiply the 8 by each term in the parentheses:

8 x 40 + 8 x 6.

This equals 320 + 48, which simplifies to 368. Hence 8 x 46 indeed equals 368, demonstrating the Distributive Property.

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-25 = -4x

divide by -4

25/4 =x

6*4 =24  25-24 = 1

6 1/4 = x

Divide each side by -4

i think the answer is ax -b < - c

answer: the slope of the line would be 5

explanation:

slope-intercept formula ==> y = mx + b

m would be the slope, and b would be the y-intercept. therefore the answer would be 5

hope this helps! ❤ from peachimin

The corresponding sides of similar figures can be equal, but if they are different in any way, they will always be proportional.

Corresponding angles, however, will always be equal.

If two figures are similar , the corresponding sides are proportional.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar.

They will have thesame shape , if possible thesame corresponding angles. But different sides. The ratio of the corresponding sides are equal or we can say that the corresponding sides are proportional.

This ratio of the sides is called scale factor.

Scale factor is expressed as;

scale factor = New dimension /old dimension.

Therefore, the corresponding sides of similar figures are proportional.

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Answer:y=(1/2)x+3

Step-by-step explanation:

Jannelle could go 4,720 miles hope this helps

4720 miles can be driven with 16 tanks of gas.

Two or more ratios setting to be equal to each other is termed as proportion.

If two quantities are directly proportional, if one increases. other also increases and if one decreases, other also decreases.

If two quantities are inversely proportional, if one increases other decreases and if one decreases, other increases.

Solve this problem using proportional concept.

Jannelle can drive an average of 295 miles on one tank of gas. We have to find the miles she can drive on 16 tanks of gas.

Miles Jannelle can drive on one tank of gas = 295 miles

Miles Jannelle can drive on 16 tanks of gas = 16 × 295

                                                                        = 4720 miles

Hence Jannelle can drive 4720 miles on 16 tanks of gas.

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In order to find correct system for the given graph, we need to find the slopes and y-intercepts of the lines in shown graph.

For red line we have y-intercept = 10 because it is cutting y-axis at 10.

And slope of the red line is rise/run = 1/1 that is 1.

Using slope-intercept form y=mx+b

The equation of red line is y=1x +10 or x-y =-10.

For black line we have y-intercept = 6 and slope is rise/run = -1/1 = -1.

The equation of black line is y = -1x + 6  or x+y=6.

The solution shown in the graph satisfies the system of equations x + y = 6 and x - y = -10. The correct option is D.

The correct system of equations satisfied by the solution shown in the graph is x + y = 6 and x - y = -10.

To verify this, we can substitute the x and y values from any point on the graph into these equations.

If the values satisfy both equations, then the system is correct.

For example, let's take the point (2, 4) on the graph. If we substitute x = 2 and y = 4 into the equations, we get:

x + y = 6: 2 + 4 = 6, which is true

x - y = -10: 2 - 4 = -10, which is also true

Since both equations are satisfied by the point (2, 4), the correct system of equations is x + y = 6 and x - y = -10.

Therefor the correct option is D.

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The lcm of 6 and 7 is 42.

The least common multiple of 6 and 7 is 42.

The least common multiple of 2 or more numbers, is the lowest multiple that all the numbers have in common. Here are the multiples of 6 and 7 up to 42, to show that 42 is the LCM.

Thus making 42 the Least Common Multiple.

I hope this helps!

X is greater than or equal to -1.

Answer:

D. multiply the previous value by 3

Step-by-step explanation:

The pattern of values as the exponents increase is

1/3, 1, 3, 9

Comparing 1/3 to 1, we either add 2/3 or multiply by 3.

Comparing 1 to 3, we either add 2 or multiply by 3.

Comparing 3 to 9, we either add 6 or multiply by 3.

The constant in this pattern is multiplication by 3.

Total Cost * .60 = My payment

Total Cost = My Payment / .60 = 120

Sorry for the crossing out. The answer and working out is below. Hope this helps!

Answer,

45/4 or 11.25 in decimal form

Explanation,

Step 1: Simplify both sides of the equation.

x + 3/4 = 12

Step 2: Subtract 3/4 from both sides.

x + 3/4 - 3/4 = 12 - 3/4 = 45/4

Hope this helps :-)

2x-3y=6

-y=6

y=-6

Check your Work

-6(2) - 3(-6)=

-12-(-18)=

-12+18=6