For her phone service, Mai pays a monthly fee of $19, and she pays an additional $0.04 per minute of use. The least she has been charged in a month is$70.28. What are the possible numbers of minutes she has used her phone in a month?

Answer:

2 1/2

Step-by-step explanation:

To Find x It the same things as 1 3/4 + 3/4 = x.

Look in the picture for the work or below:

Add \(\frac{7}{4}\) to both sides of the equation

\(x-\frac{7}{4}+\frac{7}{4}=\frac{3}{4}+\frac{7}{4}\)

Simplify

\(\frac{5}{2}\)

\(\frac{5}{2}=2\frac{1}{2}\)

Answer:

Step-by-step explanation:

\(x - 1\frac{3}{4} =\frac{3}{4}\)

\(x =\frac{3}{4} + 1\frac{3}{4}\)

\(x =\frac{3}{4} + \frac{7}{4}\)

\(x = \frac{3+7}{4}\)

\(x=\frac{10}{4}\)

\(x = \frac{5}{2}\)

\(x = 2\frac{1}{2}\) or \(2.5\)

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

a)C(x)=1500+35x

b)R(x)=60 x

c)P(x)=25x-1500

d)The number of lessons that must be held for the studio to break even ia 60

e)The studio will make 550 if 82 lessons are held

Step-by-step explanation:

Monthly cost that include rent, utilities, insurance, and advertising = $1500

The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.

a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons  for a given month

Fixed monthly cost = $1500

Variable cost of trainer for each lesson = $35

Variable cost of trainer for x lessons = 35x

So, C(x)=1500+35x

b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons  for a given month

Charge for 1 lesson = 60

Charge for x lessons = 60 x

So, R(x)=60 x

c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons  for a given month

Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=60x-1500-35x

P(x)=25x-1500

d)Determine the number of lessons that must be held for the studio to break even

R(x)=C(x)

60x=1500+35x

25x=1500

x=60

So, the number of lessons that must be held for the studio to break even ia 60

e) If 82 lessons are held during a month how much money will the studio make or lose

P(x)=25x-1500

P(82)=25(82)-1500

P(82)=550

So, The studio will make 550 if 82 lessons are held

1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

The fixed monthly cost of the dance studio= $1500

The variable cost of the trainer for each lesson = $35

So, Variable cost of trainer for 'p' lessons = 35a

So, Total cost =1500+35p

Charge for 1 private lesson = 60

Charge for 'p' lessons = 60p

So, Revenue =60p

We know that, Profit = Revenue - Cost

So, Profit =60p-(1500+35p)

Profit=25p-1500

The break-even point is the point at which total cost and total revenue are equal.

For break-even

Cost = Revenue

1500+35p = 60p

p =60

So, for the break-even number of lessons to be held = 60 lessons

Profit when 82 sessions are held

Profit = 25p-1500

Profit = 25*82-1500

Profit = $550

Therefore, 1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

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Answer:

20 percent decrease

Step-by-step explanation:

it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease

Step-by-step explanation:

[taking alpha = a]

L.H.S.

(1-sin⁴a)/cos⁴a

= 1/cos⁴a-sin⁴a/cos⁴a

= sec⁴a-tan⁴a

= (sec²a+tan²a)(sec²a-tan²a)

= (1+tan²a+tan²)(1) [as sec²a=1+tan²a]

= 1+2tan²a

= R.H.S. [Proved]

Answer:

the answer is A

I followed the point slope formula and added in the x and y values

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

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

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

Step-by-step explanation:

Given sides of rectangle:

Its perimeter is:

Answer:

\(\textsf{Perimeter}= 8x^2+12y\)

Step-by-step explanation:

A rectangle has 2 pairs of parallel, congruent sides.

The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.

Given:

Therefore:

\(\begin{aligned}\sf Perimeter & = 2(\sf width + length)\\& = 2 \left((x+4y)+(4x^2-x+2y)\right)\\& = 2(x+4y+4x^2-x+2y)\\& = 2x+8y+8x^2-2x+4y\\& = 8x^2+2x-2x+8y+4y\\& = 8x^2+12y\end{aligned}\)

Answer:

A = yes

B = no

C = yes

D = no

E = yes

F = yes

Hope I helped!!!

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

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Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

5

Step-by-step explanation:

The Pythagorean theorem is: a^2 + b^2 = c^2

The hypotenuse (the diagonal line) is c, while the base and side are a and b.

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

the square root of 25 is 5, so c would be 5

Answer: 5

Step-by-step explanation:

Pythagorean Theorem:  a² + b² = c²

Side A: 4

Side B: 3

Side C/ Hypotenuse: ?

1) Form equation...

4² + 3² = c²

2) Simplify and Solve...

16 + 9 = c²

c² = 25

3) Now find the square root of 25 which is c (your answer)

\(\sqrt{25} = 5\)

Answer:

I just got this correct on the Edge practice

B.) -13.86, 13.86

The value of x is -13.86, 13.86

A mathematical statement in which two expressions are being equated by a sign of =, is an equation.

Given that, an equation x² = 192

Taking square roots of both the side,

√x² = √192

x = √192

x = ±13.86

Hence, the value of x is -13.86, 13.86

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To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.

After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.

Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.

The probability exists a branch of mathematics in which the events of investigations happening exist estimated.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Complete question:

Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.

a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.

b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)

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Answer:

I would say the second one

Step-by-step explanation: Good luck! :)

Answer:

6

Step-by-step explanation:

2x + 3 = 15

     - 3    -3

__________

2x = 12

_______

2        2

That cancels out 2x so x = 6

Answer:

The answer to this equation would be B. 6!

Step-by-step explanation:

Check Answer:

2(6) + 3 = 15

2x6 =12

12 + 3 =15

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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The expected value for playing roulette if a person bet $16 on red is -$0.84.

b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.

To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:

Expected value = (18/38) x  $16 - (20/38) x  $16

= -$0.84

Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.

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See full question below

one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.

a. what is the expected value for playing roulette if you bet $16 on red?

$__________ (round to the nearest cent)

b. chosen the statment below that best describes what this value means???

Pick One!

a. over the long run, the player can expect to win about $1.05 for each game played

b. over the long run, the player can expect to lost about $1.05 for each game player

c. over the lung run, the player can expect to break even

Answer:

the answer is 2(×+14)=2×+16

Answer:

$315,840.00

Step-by-step explanation:

$564,000 x 0.56 = $315,840.00

Answer:

$315,840

Step-by-step explanation:

56% of 564,000 is this

Answer:

Solution:

Hence, the number is 6.

\(BrainiacUser1357\)

The Surface area of the whole cone is 4408.56 cm²

The Surface area of the tips that is removed is  376.8 cm²

The Surface area of the megaphone(hollow) is  2712.96 cm²

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Therefore,

Surface area of the whole cone = πr² + πrl

Therefore,

Surface area of the whole cone = πr(r + l)

where

Surface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²

Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²

Surface area of the megaphone(hollow) = πrl

Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²

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Answer:

1455

Step-by-step explanation:

0.03% x 1500 = 45

therefore, 45 students were late

1500 - 45 = 1455 punctual

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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