ramona owns a small coffee shop, where she works full-time. her total revenue last year was $200,000, and her rent was $5,000 per month. she pays her one employee $3,000 per month, and the cost of ingredients averages $1,000 per month. ramona could earn $55,000 per year as the manager of a competing coffee shop nearby. her economic profit last year was were....
a. $18,000
b. $37,000
c. $55,000
d. $66,000
e. $92,000

Answer:

P' (15, 20)

Step-by-step explanation:

P' ( 3×5, 4×5) = P' (15, 20)

Answer:

The GCF of 8 and 36 is 4.

The GCF of 72 and 18 is 18.

The GCF of 14, 28, and 49 is 7.

Step-by-step explanation:

The required domain of the function that represents the volume of water in the pool after x minutes is 0 < x < 350.

Given that,
A 350-gallon pool is being drained at a rate of 2 gallons per minute, what is the domain of the function that represents the volume of water in the pool after x minute is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
since the volume of the pool when it was full of water is 350 gallons,
so the domain of the water present in the pool will be from 0 gallons of water to 350 gallons of water. But water gets drained at the rate of 2 gallons per minute, so the water present must be less than 350 in the first second. The domain of water remaining in the pool will be 0 < x < 350.

Thus, The required domain of the function that represents the volume of water in the pool after x minutes is 0 < x < 350.

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The area of the actual bridge deck in square feet, obtained from the scale factor of area is 622,080 square inches

The scale factor of area can be obtained from the square of the scale factor of length

The dimensions of the bridge are dilated by a factor of 60 : 1

The scale of the drawing = 60 : 1

The dimensions of the bridge deck = 36 inches by 4 4/5

The area of the bridge deck in the drawing = 36 × (4 + 4/5) = 172.8 square inches

The scale factor of area = (The scale factor of length)²

The area of the actual bridge deck = 60² × 172.8 = 622080

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Answer:

-4

Step-by-step explanation:

2 (-4 + 12) = 16

2( 8) = 16

16 = 16

The required inequality is 8x + 10y ≥ 56 which represents given the situation.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x represent the number of hours babysitting and y represent the number of hours doing yard work,

The inequality that represents the situation is:

8x + 10y ≥ 56

This means that the total amount earned from babysitting (8x) plus the total amount earned from yard work (10y) must be greater than or equal to the cost of the skateboard ($56).

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The correct option regarding whether the sum of a rational number and an irrational number is always irrational is given by:

Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.

The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational, and the correct option is given by:

Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.

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Answer:

1. 5

2.31

3.160

4. 520

5. 74

6. 7

7. 56

8. 0

Step-by-step explanation:

BODMAS

first you start with the Brackets

then Of

then Division

then multiplication

then addition and

finally subtraction

Answer:

-69

Step-by-step explanation:

inches:-69

-5 9/12 (-5 3/4 clearer) feet

Explanation in detail:

Write the equation down and distribute it.

3x - 1 = 2(x + 34)

3x - 1 = 2x + 68

Remove the variable on one side first (it makes solving the equation less complicated.)

3x - 1 = 2x + 68

-3x -3x

-1 = -x + 68

On all sides, subtract 68.

-1 = -x + 68

-68 -68

-69 = x

I'm guessing the answer in feet and inches is...

inches:-69

-5 9/12 (-5 3/4 simplified) feet

Answer:

x = -13

Step-by-step explanation:

2x + 6 = -20

Subtract 6 on both sides.

2x = -26

Divide by 2 on both sides.

x = -13

Answer:

-13

2x + 6 = -20

2x =  -26

x = -26 / 2

x=-13

Answer:

9

Step-by-step explanation:

a quotient is the result of dividing one number by the other, so we know 8 is being divided by 2

8÷2 is 4

five more just means adding 5

so we are left with 4+5 which =9

He have left to memorize = 16  words.

a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.

Percentage derives from the Latin word per centum, which means "by the hundred." The Latin expression was adopted by English in the sixteenth century. In the future, it was shortened to % with a final period. The two sections were eventually combined, the period was omitted, and the result was the contemporary one-word form %.

20 words should be committed to memory.

Has completed 4/5 of the portion.

The number of words he has memorized =

= 20 * 4/5,

which equals 16.

Thus,

The total number of words Ivan has memorized up to this point is sixteen (16), as he has only learnt four of the total (five-fifths), or five sections of four words each. 16 (sixteen) is the answer, therefore.

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Answer:

Angie drove to the beach. She kept track of the number of miles she traveled and the number of gallons of gas she used. Which method and reasoning can Angie use to calculate the gas mileage in miles per gallon?

A:435.7 miles • 12.42 gallons,

because multiplying a quantity with units of miles by a quantity with units of gallons gives a quantity with units of miles per gallon.

B:435.7 miles −12.42 gallons,

because subtracting a quantity with units of gallons from a quantity with units of miles gives a quantity with units of miles per gallon.

C:12.42 gallons ÷ 435.7 miles,

because dividing a quantity with units of gallons by a quantity with units of miles gives a quantity with units of miles per gallon.

D:435.7 miles ÷ 12.42 gallons,

because dividing a quantity with units of miles by a quantity with units of gallons gives a quantity with units of miles per gallon.

Step-by-step explanation:

Answer:

435.7 miles divided by 12.42 gallons

because dividing a quantity with units of miles by a quantity with units of gallons gives a quantity with units of miles per gallon.

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Answer:

1564

Step-by-step explanation:

1564

6/9384

-6

_____

33

-30

____

38

- 36

______

24

-24

__________

0

Answer:

1564

Step-by-step explanation:

attached........

The correct statement is: 'A one-variable data table has input values that are listed either down a column (column-oriented) or across a row (row-oriented). '

The correct answer is an option (a)

We know that a one-variable data table contain its input values either in a single column (column-oriented), or across a row (row-oriented).

And any formula in this data table must refer to only one input cell.

Whereas we se a two-variable data table to see how different values of two variables in one formula will change the formula results.

Custom data tables are used for: Building data-driven services that can easily be updated without modifying it and storing the results.

And the pre-formatted data tables stored as building blocks in galleries that can be accessed any time and be reused any number of times you want.

Therefore, the correct answer is an option (a)

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The complete question is:

A ________ data table has input values that are listed either as column-oriented or roworiented.

A) one-variable

B) two-variable

C) custom

D) pre-formatted

The three people in order of the times they spent walking from least time to greatest time will be Cindy, Ari and Bobby.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction.

Ari walked 2 3/4 miles at a constant speed of 2 1/2 mi/h. The number of hours used will be:

= 2 3/4 ÷ 2 1/2

= 1.1 hours

Bobby walked 1 3/4 mi at a constant speed of 1 1/4 mi/h. The hours used will be:

= 1 3/4 ÷ 1 1/4

= 1.4 hours

Cindy walked for 1 h and 8. min at a constant speed of 1 1/8 mi/h.

= 1 8/60 ÷ 1 1/8

= 1 hour

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Complete question

Ari, Bobby, and Cindy each went for a walk yesterday afternoon. Ari walked 2 3/4 miles at a constant speed of 2 1/2 mi/h. Bobby walked 1 3/4 mi at a constant speed of 1 1/4 mi/h. Cindy walked for 1 h and 8. min at a constant speed of 1 1/8 mi/h. List the three people in order of the times they spent walking from least time to greatest time.

Answer:

D. terms.

Step-by-step explanation:

Terms they are examples of terms.

Answer:

2a, 3b and -4c are examples of terms.

Step-by-step explanation:

Given : Expression  

To find : 2a, 3b and -4c are examples of ?

Solution :

We have given the expression  

A term is made up of a constant multiplied by a variable.

In the given expression,

Variables are a, b and c.

Constant are 2,3 and -4.

So, 2a, 3b and -4c will make a term.

Therefore, 2a, 3b and -4c are examples of terms.

If 250 Bell laptops are to be produced, then 250 hard drives will be required.

According to the product structure tree for Bell laptops on page 4 of the lecture materials on Master Scheduling and Bill of Materials, the total number of hard drives (01-hdrive) required to produce 250 Bell laptops is 250.Each Bell laptop requires one hard drive to be produced.

Therefore, if 250 Bell laptops are to be produced, then 250 hard drives will be required.

This can be seen in the product structure tree where the hard drive is a sub-assembly of the Bell laptop, and each Bell laptop requires exactly one hard drive. The product structure tree also shows that each hard drive requires a number of components to be produced, such as a hard drive case, a circuit board, and a motor.

These components are also shown as sub-assemblies of the hard drive.

Overall, the product structure tree is a useful tool for understanding the relationships between the components and sub-assemblies that are required to produce a finished product. It provides a detailed breakdown of the product structure, which is essential for effective production planning and scheduling.

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To determine the value of x when f(x) = 20, we can use the second equation provided:
f(x) = 4x + 8
We can set this equation equal to 20 and solve for x:
4x + 8 = 20
Subtracting 8 from both sides:
4x = 12
Dividing by 4 on both sides:
x = 3
Therefore, the value of x when f(x) = 20 is 3.
To determine the value of x when f(x) = 20 and f(x) = 4x + 8, you need to set the two expressions for f(x) equal to each other:
20 = 4x + 8
Now, you need to solve for x:
20 - 8 = 4x
12 = 4x
Next, divide both sides by 4:
12 / 4 = x
3 = x
So, the value of x when f(x) = 20 and f(x) = 4x + 8 is x = 3.

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The probability that a randomly chosen person from this group is a junior and attended the volleyball game is: 0.18. Option C is correct.

We have,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

There are a total of 77 + 60 = 137 students in the group.

Out of these students, 24 Junior attended the volleyball game.

So the probability of a randomly chosen person from this group being a Junior and attending the volleyball game is:

P(Junior and volleyball) = 24/137

Therefore, the probability is approximately 0.18. Option C is correct.

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Answer:

Buy Two tshirts and a pair of pants....

Step-by-step explanation:

Total purchase -

$9.85 + $56.00 = $65.85

Shipping charges is 20%  -

65.85 * 0.2 = 13.17

Total (including shipping) = $79.02

If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,

Total purchase will be -

$9.85 + $56.00 + $9.85 = $75.70

Puchasing 2 tshirts will be $3.32 cheaper....

Answer:

You should buy a second t-shirt.

Step-by-step explanation:

The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.

Answer:

(1/2)m - (3/4)(8) = 16

(1/2)m - 6 = 16

(1/2)m = 22

m = 44

The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:

PE = mgh

Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.

PE_cylinder = mgh_cylinder  ... (1)

PE_sphere = mgh_sphere  ... (2)

Since the initial velocity and mass are the same for both objects, we can equate their potential energies:

PE_cylinder = PE_sphere

mgh_cylinder = mgh_sphere

h_cylinder = h_sphere

Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

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Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

The given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.

Linear programming is an optimization technique to solve optimization problems. Linear programming is the process of optimizing a linear objective function of several variables subject to constraints on the variables. A linear programming model always has an objective function and constraints expressed as linear equations or inequalities.

Linear programming can be solved graphically or by using the simplex algorithm. The given linear programming problem isMin 1X + 1Ys.t. 5X + 3Y < 303X + 4Y > 36Y < 7X , Y > 0There are three constraints in the given linear programming problem, and each of them can be represented by a straight line in a two-dimensional graph. The feasible region is the shaded area where all the constraints are satisfied.

The objective function can be represented by a straight line as well.The feasible region in the given linear programming problem is not empty, which means there is at least one feasible solution. The feasible region is bounded, which means the optimal solution exists.

The objective function has a finite minimum value, which means the optimal solution is unique. Therefore, the given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.

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Answer:

y=x+1

Step-by-step explanation:

to do this we have to use the slope formula, Rise/Run which is (y2-y1)/(x2-x1) so (3-(-3) or 3+3 divided by (2-(-4) or 2+4, so the slope would be 6/6 or 1. so it is up one over one, and since at the x coordinate of 0 it is y=1 we know the formula must be y=x+1

Answer:

m = 1

Step-by-step explanation:

Use the equation \(m=\frac{y2-y1}{x2-x1}\) to find the slope.

next, the equation should look like: \(y=\frac{3+3}{2+4}\)

Next you should get the equation: \(m = \frac{6}{6}\)

Finally, just divide 6/6 and the answer will be m = 1

Answer:

Part A
Option C

Part B
Option A

Step-by-step explanation:

Part A

The equation for revenue gained for x tickets sold by Alpacas team

is y = 7.5x

This indicates the slope is 7.5 which means for every ticket sold the revenue increases by $7.50

Or in other words, cost of each ticket = $7.50

The revenue - ticket relationship for the Stingrays is given in the form of a graph with a linear equation

The slope of the graph can be found by rise/run where rise

= difference in y values for 2 points on the graph and run

= difference in the corresponding x values

Let's take points (0, 0) and (100, 1500) to find the slope
rise = (1500 - 0)/(10-0) = 1500/10 = 150

run = 10 - 0 = 10

Slope = 150/10 = 15

Equation is y = 15x

So for every ticket sold, the revenue increases by $15

Or in other words, cost of each ticket = $15

Therefore each Stingrays ticket costs 15/7.5 = 2 times each Alpacas ticket

Correct Answer:
Option C

---------------------------------------------------------------------------------------------------------

Part B

For the Geckos swim team we can see that as the number of tickets increases from 6 to 18(difference of 18- 6 = 12), the revenue increases by 180 - 60 = $120

Cost for ticket between 6 and 18 tickets = $120/12 = $10

When tickets sold increases from 18 to 54 (difference of 54 - 18= 36), the revenue increases by $540 - $180 = $360

Therefore the price for each ticket within this range = $360/36 = $10

So the price per ticket is the same regardless of the number of tickets sold

Therefore Gecko's revenue can be modeled as y = 10x

Alpacas charge $7.50 per ticket and Gecko's charge $10 per ticket
So the difference between a Gecko's ticket and an Alpacas ticket

= $10 - $7.50

= $2.50 more than Alpacas

or, alternatively

Alpacas charge $2.50 less than Gecko per ticket

Correct Answer

Option A