A pilot scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster then she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

A. Y = 1/3x + 10
B. Y = 3x + 10
C. Y = 1/3x - 10
D. Y = 3x - 10

Answers

Answer 1
Answer: Choice A

y = (1/3)x+10

=============================================================

Explanation:

x = number of minutes of the original flight

Because the pilot travels 3 times faster than before, it means she travels 1/3 of the original time. If she took x minutes on the original flight, then she will take (1/3)x minutes for the new faster flight.

Then add on the 10 minute delay to end up with (1/3)x+10


Related Questions

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.

Which student has the method that is most representative of the school’s population?
Raina suggested that she ask everyone in her math class on Friday.
Miya suggested that she ask students sitting in the first row of her classes on Friday.
Ryo suggested that he ask the basketball players at his practice on Friday.
Amir suggested that he ask every tenth student as he or she walks into school in the morning.

Answers

The students who has the method that is most representative of the school’s population is Amir.

What is a population?

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

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Please help! This is reflections in geometry! Thank you.

Answers

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

Reflection of coordinates

A reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;

P = (-4, -3)

Q = (-2,-4)

R = (1, -2)

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

The y coordinates are multiplied by a factor of 2

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solve these algebraic fractions please with explanation would be great ​

Answers

Answer:

look above

Step-by-step explanation:

hope it helps

please helb it is very hadr

Answers

Answer:

a=15.7mm2,31.4

b=18.84in2,37.68

Hi can anybody answer this please !

Answers

Answer:

7ft; 8 minutes

Step-by-step explanation:

a. to find the height the person boarded at, plug in t=0 since this is right when the person got on the Ferris wheel. we then get:

h(0) = -45 * cos ((pi/4)*0) + 52 = 7 ft

b. to find the period, we have pi/4 * t = 2*pi, solve for t to get t=8

Question 3 of 5
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each person to the contribution they made to the field of geometry.
Leonhard Euler
Maryam Mirzakhani
Rene Descartes
illustrated geometry of iterations
proof of complex functions
developed geometry of curved surfaces
Benoit Mandelbrot

Answers

The Correct match up is:

Leonhard Euler - developed geometry of curved surfaces

Who made proof of complex functions?

The first proof of complex numbers was done by an Italian mathematicians known to be Girolamo Cardano and Raphael Bombelli.

The person who illustrated geometry of iterations is Gaston Maurice Julia.

Benoit Mandelbrot is known to have discover fractal geometry. Rene Descartes is known to be famous for making a connection between geometry and algebra.

Therefore, from the above, you can see that the only correct matchup is Leonhard Euler - developed geometry of curved surfaces

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Answer :

proof of complex functions --- > Maryam Mirzakhani

illustrated geometry of iterations --- > Benoit Mandelbrot

developed geometry of curved surfaces --- > Leonhard Euler

In the 15th century, Rene Descartes developed the field of analytical geometry by using functions to describe lines and curves in a coordinate plane. In the 18th century, Leonhard Euler extended geometric analysis to curved surfaces. in the late 20th century, Benoit Mandelbrot used computers to illustrate the geometry of iterations (fractals). In 2014, Maryam Mirzakhani received the Fields Medal for her work on geometric proofs involving complex functions.

What is a divided by a% of a?

Answers

Answer:

[tex]\frac{100}{a}[/tex]

Step-by-step explanation:

Hello!

a% is the same as [tex]\frac a{100}[/tex].

a% of a can be found by multiplying them both, giving us [tex]\frac {a^2}{100}[/tex]

Solve:[tex]\frac{a}{\frac{a^2}{100}}[/tex][tex]a * \frac{100}{a^2}[/tex][tex]\frac{100a}{a^2}[/tex][tex]\frac{100}{a}[/tex]

The value of the expression is [tex]\frac{100}{a}[/tex]

I need help with this problem, please explain​

Answers

Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

i will ask alot of questions again sorry

Answers

Answer:

7.5 m = 0.0075 km (Correct)

0.31 = 310 mm (Correct)

46 m = 4,600 cm (Correct)

457 mm =4.57 cm (Incorrect)

0.6 km = 6,000 m (Incorrect)

Step-by-step explanation:

Tell me if something is wrong.

It makes that every time we flip a fair the probability of flipping tails is

Answers

It makes that every time we flip a fair the probability of flipping tails is 50%.

What is the probability?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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50. a skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. how many different skateboards can be constructed?

Answers

5 can be constructed

Which equation is showed in the graph above

Answers

Answer: A

It has a negative gradient.

Hope this helps :))

P.s. Can you  mark me as the brainliest? <3

Answer:

Step-by-step explanation:

Remark

You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5

So far what you know is

y = mx + 5

Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.

Givens

x1 = 6

x2 = 0

y1 = 0

y2 = 5

Equation

m = (y2 - y1) / (x2 - x1)           Put the givens into this equation.

Solution

m = (5 - 0) / (0 - 6)

m = 5/-6

m = - 5/6

Answer

The line is

y = -5/6 x + 5

question 2 help me please

Answers

Answer:

90π in²

Step-by-step explanation:

Surface area of cylinder:

  r = 3 in

  h = 10 in

     [tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]

                                                   [tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]

✭ Explanation -:

In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .

Radius = 3 inches

Height = 10 inches

We know,

[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]

Substituting the values we get

[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]

[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]

[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]

[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]

The population of a small town has a decay rate of 0.5% every year. If I had 58,000 people in 2011, how many will they have today.

Answers

Answer:

If I am not mistaken the number is 54,810.

Hope I helped.

The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE = B. C. D.

Answers

Based on the properties of a kite, the statement that is true is: D. KPE = TPE.

What is a Kite?

A kite is a quadrilateral in which its diagonals intersect at right angles.

Also, the non-vertex angles of a kite are congruent, that is they have equal measure.

Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.

Therefore, the true statement is:

D. KPE = TPE

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Factor 6x¹ − 5x² + 12x² − 10 by grouping. What is the resulting expression?
(6x + 5)(x²-2)
(6x - 5)(x²+2)
(6x² + 5)(x-2)
(6x²-5)(x+2)

Answers

Answer:

[tex](6x-5)(x^2+2)[/tex]

Step-by-step explanation:

[tex]~~~6x^3 -5x^2 +12x -10\\\\=6x^3-5x^2+12x-10\\\\=x^2(6x-5) +2(6x-5)\\\\=(6x-5)(x^2+2)[/tex]

Both (x−3)(x+3) and (3−x)(3+x) contain a sum and a difference and have only 3 and x in each factor. If each expression is rewritten in standard form, will the two expressions be the same? Explain or show your reasoning.

Answers

The expression is rewritten in standard form and they are not the same due to the negative.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Both (x−3)(x+3) and (3−x)(3+x) contain a sum and a difference and have only 3 and x in each factor.

Let see the equation formed by the factor;

(x−3)(x+3)

= x^2 + 3x - 3x - 9

= x^2 - 9

(3−x)(3+x)

= 9 + 3x - 3x - x^2

= 9 - x^2

The expression is rewritten in standard form and they are not the same due to the negative.

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Answer:

Step-by-step explanation:

Please help!! A. 170 B. 205 C. 230 D. 105

Answers

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

8. Resuelve los siguientes problemas:
a) Cinco trabajadores de una empresa reci-
ben salarios de $1 200, $1 500, $1 600,
$1 300 y $2 500. ¿Cuál es el promedio
salarial?

Answers

see the attachment photo!

HELP ASAP

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27

Rewrite the formula in factored form and select each true statement below.

The swimmer is underwater for 12 seconds.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The swimmer dives into the water 12 seconds after the timer was started.

Answers

The correct true statement is the swimmer comes back up 9 seconds after the timer was started.

Maximum height of a function

The maximum height of a function is the  point where the velocity the body is zero.


Given the function that represent the height of the swimmer as  h(t)=t^2−12t+27

If the velocity of the function is zero, hence;

h'(t) = 2t - 12

0 = 2t - 12

2t = 12

t = 6secs

Substitute t = 6 into the function as shown:

h(6) = 6^2−12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.

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One day in a sporting goods store, 34 people came in and made purchases while 14 people came in but didn't buy anything. What's an unsimplified ratio, as a fraction, of the number of people who made a purchase and the number of people who came into the store

Answers

Answer:

34/48

Step-by-step explanation:

So to answer this problem, we need to know two things:
1) The number of people who made a purchase
2) The number of people who came into the store

The problem gives us 1), which is 34.
The answer for 2) is 34+14, since that's the total number of people who came into the store. This means that the ratio is 34/48.

Match the tan R, cos R and sin R to the correct ratios

Answers

Trig ratios can be remembered with the phrase SOH CAH TOA.
Sine: Opposite/Hypotenuse.
Cosine: Adjacent/Hypotenuse
Tangent: Opposite/Adjacent.

In this triangle, the adjacent side to angle R (the side touching the angle) is 12 cm, the opposite side (the side farthest away) is 5 cm, and the hypotenuse (the longest side) is 13 cm.

So, filling in the measurements with the correct SOH CAH TOA ratios results in:
tan R = 5/12
cos R = 12/13
sin R = 5/13

ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree,
Carlos looks up at a 19° angle of elevation. If Carlos is 6 feet tall, how far is he from the base of the tree to the
nearest foot?

Answers

By using trigonometric relations, we will see that the distance between Carlos and the tree is:

D = 781.23 ft

How far is Carlos for the base of the tree?

We can model this with a right triangle. We know that Carlos is 6ft tall, and the height of the tree is 275ft.

Then one of the cathetus of the triangle is equal to:

275ft - 6ft = 269ft.

That cathetus is the opposite cathetus to the angle of 19° (the elevation angle). And the adjacent cathetus is the distance between Carlos and the tree.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

Where:

a = 19°opposite cathetus = 269ftadjacent cathetus = D.

Replacing that, we get:

tan(19°) = 269ft/D

Solving for D, we get:

D = 269ft/tan(19°) = 781.2ft

So we conclude that Carlos is at 781.23 ft of the tree.

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Do ∠ABE and ∠DBC share a ray

Answers

Answer:

yes they do

Step-by-step explanation:

they share a ray

Determine whether triangles EFG and PQR are congruent

Plsss help

Answers

Answer:

B

Step-by-step explanation:

Because it flipped over the x axis

Spot the coordinates

E(-3,1)P(-3,-1)F(1,1)Q(1,-1)G(4,4)R(4,-4)

Yes it's reflection along x axis

.(x,y)=(x,-y)

Option B

HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

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According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

A

Step-by-step explanation:

height (y-axis) = constant × width (x-axis)

let's look at the point coordinates.

remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.

we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).

so, the constant in our equation is responsible for returning half of the x value back as the y value.

what constant factor turns a number in half ?

x × c = x/2

c = 1/2

and so, A is the right answer.

One of the roots of the equation x^2-13x+q=0 is 12. Find the other root in the value of the coefficient Q.

Answers

Considering that 12 is a root of the function, the value of coefficient Q is of 12.

What does it means that x is a root of a function f(x)?


It means that f(x) = 0.

In this problem, the function is given by:

f(x) = x² - 13x + q.

Since 12 is a root, we have that f(12) = 0, hence:

12² - 13 x 12 + q = 0

q - 12 = 0.

q = 12.

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Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.

Answers

The data values that are outliers are 4 and 56.

What is an outlier?

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.

In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.

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