A charter airline finds that on its Saturday flights from Philadelphia to London all 160 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one.

Answers

Answer 1

Missing part of the question is;

Find a formula for the number of seats sold if the ticket price is P dollars.

Answer:

(680 - P)/3

Step-by-step explanation:

A) Let x be equal to the number of seats and hence we can conclude that (160 - x) is equal to the number of seats after the increase in price.

Similarly, the increase in ticket price would be equal to (P - 200)

Due to the fact that for every $3 increase, the number of seats decrease by 1, the equation that links the change in the number of seats to the change in ticket price is;

P - 200 = 3(160 - x)

P = 3(160 - x) + 200

Making x the subject;

P = 480 - 3x + 200

P = 680 - 3x

3x = 680 - P

x = (680 - P)/3


Related Questions

The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.

Answers

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Write a polynomial f(x)that satisfies the given conditions,
Polynomial of lowest degree with zeros of - 4 (multiplety 1), 3 (multiplicly 3), and with f(0)= 216,

Answers

Answer:

[tex]\boxed{\sf \ \ \ -2(x+4)(x-3)^3 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let's note k a real, we can write the polynomial as

[tex]k(x-(-4))^1(x-3)^3=k(x+4)(x-3)^3[/tex]

and we know that f(0)=216 so

[tex]216=k(0+4)(0-3)^3=k*4*(-1)^3*3^3=-27*4*k=-108k\\\\<=> k=-\dfrac{216}{108}=-2[/tex]

So the solution is

[tex]-2(x+4)(x-3)^3[/tex]

hope this helps

a man bought second hand bicycle for rs 1120 and spend rs160 to repair it. he sold it for rs1344, find his profit or loss percent ​

Answers

Answer:

5 %

Solution,

Total Cost price (CP) = Rs 1120 + Rs 160

= Rs 1280

Selling Price (SP) = Rs 1344

Here,

SP > CP , so he made profit.

Amount of profit = SP - CP

= Rs 1344 - Rs 1280

= Rs 64

Now, finding the profit percent,

Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]

[tex] \frac{64}{1280} \times 100 \: percent[/tex]

[tex]5 \: percent[/tex]

Profit percent = 5%

Hope this helps...

Good luck on your assignment...

can someone help me with this question, please?

Answers

Answer:

1080

Step-by-step explanation:

Multiply the value by 1440. Hope this helps!

Answer:

1080 minutes

Step-by-step explanation:

In a day there are 24 hrs so first we have to find 1 quarter of a day which will be;

24hrs ÷ 4 = 6hrs

The question says 3 quarters so you multiply 6hrs by 3

6hrs * 3 = 18hrs

Now will use proportion to answer the rest which is as follows.

If 1hr = 60 minutes,

then 18hrs = ? minutes

[tex]\frac{18}{1} * 60mins[/tex]

=1080 minutes.

Hope this will help.

How to solve the equation 4×3−15÷3×2+1

Answers

Answer:

3

Step-by-step explanation:

We use Order of Operations BPEMDAS.

Step 1: Multiply

12 - 15/3(2) + 1

Step 2: Divide

12 - 5(2) + 1

Step 3: Multiply

12 - 10 + 1

Step 4: Subtract

2 + 1

Step 5: Add

3

Answer: 3

Step-by-step explanation:

PEMDAS

P: No parenthesis

E: No exponents

M and D: 4x3 = 12(12-15÷3×2+1), 15÷3 = 5(12-5×2+1), 5*2 = 10(12-10+1)

A and S: 12-10 = 2(2+1), 2+1=3(3)

Which situation is most likely to show a constant rate of change?

Answers

Answer:

The answer is A

Step-by-step explanation:

Find the value of this expression if x = 7.
x2 + 3
x - 9
Enter the correct answer.

Answers

Answer: -34

Step-by-step explanation:

Step 1: 7x2=14

Step 2: 14+3=17

Step 3: 7-9=-2

Step 4: 17x-2= -34

What is the slope of the line through (-2,-6)and (2,2)

Answers

Answer:

Y2-y1/x2-x1

=2-(-6)/2-(-2)

=8/4

=2

Step-by-step explanation:

Given two points of a line to find the slope we use the formula; y2-y1/x2-x1 Hence the answer above.

The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find (f - g)(x).
A. x2 – 3x - 5
B. -X2 + 3x + 5
C. –3x² – 5x2
D. 3x3 - 5x2

Answers

Answer:

Option B

Step-by-step explanation:

=> [tex]f(x) = 3x+5[/tex]

=> [tex]g(x) = x^2[/tex]

Subtracting both

=> [tex](f-g)(x) = 3x+5-x^2[/tex]

Assembling

=> [tex](f-g)(x) = -x^2+3x+5[/tex]

line plot


3.


A student builds unifix cube towers to represent the ages of the five children in her family. She places them in order from smallest to largest. She removes the shortest and tallest tower then removes the next shortest and tallest tower. The tower in the middle is remaining. This student has just found which average?


Mode

Mean

Range

Answers

Answer:

Mode

Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

3 1 2 2 4

Now the student first places them in order from smallest to largest

1 2 2 3 4

Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

2 2 3

Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

what are the points on this website even for?

Answers

Answer:

To ask questions you need points.

Step-by-step explanation:

Answer:

They help you ask questions as it costs points to ask questions, and the more points you use on a question, the more points someone gets for answering it, meaning they are more likely to answer your question.

They also are used as a form of ranking users, based on how much time they spend on the site helping people and such.

One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
MONTH
March 5.7
April6.3
May13.8


Answers

Answer:  7.5 inches

Subtract the values for May and April

13.8 - 6.3 = 7.5

Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.

Answers

Pharrell Williams produced most of Justin Timberlakes critically acclaimed debut solo album Justified.

HELP AGAIN PLEASE ASap
What expression represents the volume of the cylinder,
in cubic units?

Answers

Answer:

second option

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = x and h = 2x , thus

V = π × x² × 2x = 2πx³

open the picture I wrote the explanation there

The probability that Stu buys a sandwich is 0.5.
The probability that Stu gets the bus is 0.7.
Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?

Answers

Answer:

probability that Stu buys a sandwich and gets the bus = 0.35

Step-by-step explanation:

Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.

P(Sandwich) = P(S) = 0.5

P(Bus) = P(B) = 0.7

Assuming the events are independent,

probability that Stu buys a sandwich and gets the bus

= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35

Answer: 0.35

Step-by-step explanation:

First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich.  Then, ignoring the other .5, there is a .7 chance that he makes the bus.  Thus, 1/2 of .7 is 0.35.

Hope it helps <3

Which is the best example of a number written in scientific notation?

Answers

Answer:

It would be changing by which a person thinks.

But, I will pick 569.124.

It would be 5.69124e2. (or 5.6912 x 10^3)

Answer:

569.124

Step-by-step explanation:

TEN POINTS !!!!1 . Type the correct answer in the box. Simplify this expression:

Answers

Answer:

1

Step-by-step explanation:

Add the exponents of the as inside the parenthesis.

8+6 =14

Power to a power = multiplication of exponents.

14 times 1/7 = 2

[tex]\frac{a^2}{a^2}[/tex] When you divide, subtract exponents.

2-2 = 0

Any number to the zeroth = 1

The answer is 1.

A rectangle has the sides: 7cm and 3cm. A square has the same perimeter as the rectangle. What is the side length if the square

Answers

Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5

Simplify the following expression: (1 point) 2x − 2y + 5z − 2x − y + 3z

Answers

Answer: -3y + 8z

Step-by-step explanation:

2x -2x = 0

-2y + - y= -3y

5z + 3z= 8z

-3y + 8z

The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 2x − 2y + 5z − 2x − y + 3z

Simplify the expression, then we have

⇒ 2x − 2y + 5z − 2x − y + 3z

⇒ 2x − 2x − 2y − y + 5z + 3z

⇒ 0 − 3y + 8z

⇒ − 3y + 8z

The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Write an inequality and show on a number line all numbers:from (–3) to 2 exclusive.

Answers

Answer:

[tex]-3 < x < 2[/tex]

Step-by-step explanation:

Given:

Range: -3 to 2

Required:

- Write the inequality

- Represent on a number line

Let the variable be represented by x

The question says -3 and 2 are exclusive of x;

This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]

Write out the two inequalities

[tex]-3 < x[/tex] and [tex]x < 2[/tex]

Combine both inequalities

[tex]-3 < x < 2[/tex]

See attachment for number line

Notice that the circle on -3 and 2 are opened

This implies that -3 and 2 are exclusive of the inequality;

Pleaaaaase help!!!!​

Answers

Answer:

see below

Step-by-step explanation:

sqrt(20)

sqrt(4*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(4) sqrt(5)

2 sqrt(5)

Answer:

We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].

Jerry is paving the parking spot shown below. It costs $ 50 $50dollar sign, 50 to pave each square meter. Find the cost to pave the parking spot. 6 1 4 m 6 4 1 ​ m 4 m 4 m

Answers

Jerry is paving the parking spot shown in the attached file below.

It costs $ 50  to pave each square meter. Find the cost to pave the parking spot  [tex]6 \dfrac{1}{4}\ m[/tex].

Answer:

$1250

Step-by-step explanation:

From the image attached below;

The paving of Jerry around the parking spot assume a shape of parallelogram.

However, in order to find the cost to pave the parking spot, we need to first determine the area of the assume shape of the parking spot (i.e parallelogram)

Area of a parallelogram = Base × height

where;

the base = 4m

the height = [tex]6 \dfrac{1}{4}\ m[/tex]

Area of a parallelogram = [tex]4 \times 6 \dfrac{1}{4}[/tex]

Area of a parallelogram = [tex]4 \times \dfrac{25}{4}[/tex]

Area of a parallelogram = 25 m²

Since it cost $50 to pave 1 square meter;

The cost to  pave 25 m² area of the parking spot is

= 25 × 50

= $1250

Answer:

1250

Step-by-step explanation:

The parking space is in the shape of a parallelogram, so to find the area needed to pave it, you will use the formula for finding area of a parallelogram.

A = 4 x 6 1/4

A = 25 square meters

You will pave 25 square meters.

25 x 50 = 1250

The Jerry will pay $1250.

I will give brainiest

Answers

Answer:

Amount the watch normally costs: w

Amount if the discount: 0.3w

Percent decrease of the discount, as a decimal: 0.3

Percent of the normal cost that Chad paid, as a decimal: 0.7

f(x) = 3x + 2
What is f(5)?

Answers

Answer:

17

Step-by-step explanation:

3(5) + 2 = 15 + 2

= 17

Therefore x= 17

Answer:

[tex]\huge\boxed{f(5)=17}[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2\\\\f(5)=?\\\\\text{substitute}\ x=5\ \text{to}\ f(x):\\\\f(5)=3(5)+2=15+2=17[/tex]

Is Triangle ABC cong Triangle DEF? If so name the postulate that applies

Answers

Answer:

D. Congruent - SAS

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

The triangles are congruent by SAS.

A bag contains orange, purple, and blue marbles. If a marble is selected at random from the bag, the probability it is orange is 0.2, the probability it is purple is 0.3, and the probability it is blue is 0.5. Which colour marble is most likely to be selected? Explain.

Answers

Answer:

blue marble

Step-by-step explanation:

Probability is how likely something is to happen. Between the three colors, blue has the greatest probability, meaning it will most likely be selected.

0.5 > 0.2

0.5 > 0.3  

The two cones are similar. (a) Write down the value of l. (b) When full, the larger cone contains 172 cm3 of water. How much water does the smaller cone contain when it isfull?

Answers

Answer/Step-by-step explanation:

a. Since both cones, as shown in the figure attached below, are similar, 11/8 = l/4

Cross multiply to find l

4*11 = 8*l

44 = 8l

l = 44/8

l = 5.5cm

b. Given the slant height and diameter of cone, volume of cone can be calculated using the formula ⅓πr²*√(l² - r²)

Where, r = diameter ÷ 2 = 4/2 = 2cm

l = 5.5cm

Volume of smaller cone = ⅓*3.142*2²*√(5.5² - 2²)

= ⅓*3.142*4*√30.25 - 4)

= ⅓*12.568*√26.25

= ⅓*12.568*5.124

= 64.40/3

Volume of small cone ≈ 21.5 cm³

Please help and be fast! WILL GIVE BRAINLIEST!

Answers

Yeah it’s a bunch of points across the chart

Pattered sheets cost $0.50 each or packages of 60 for $19.99. If Tanesha needs 92 sheets, how much will she save if she buys 2 packages instead of paying individually for the sheets?

Answers

Answer:

$7.02

Step-by-step explanation:

Price of 92 sheets = 92 * $0.50 = $46

Price of 2 packages = 2 * $19.99 = $38.98

Savings = $46 - $38.98 = $7.02

There are an infinite number of vector and parametric equations for a given plane. Why is the scalar equation of a given plane unique?

Answers

Answer:

The answer is below

Step-by-step explanation:

When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same

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