An airline runs a commuter flight between Portland, Oregon, and Seattle, Washington, which are 145 miles apart. An increase of 20 miles per hour in the average speed of the plane decreases the travel time by 12 minutes. What initial average speed results in this decrease in travel time? (Round your answer to one decimal place.)

Answers

Answer 1

The speed of the airplane is the ratio of the distance to the time

The initial average speed of the airplane is approximately 110.8 mph

Reason:

Given parameters are;

The distance between Portland Oregon and Seattle Washington = 145 miles

The decrease in travel time when the speed is increase by 20 mph =  minutes

The initial speed of the airplane, v = Required;

Solution;

[tex]t = \dfrac{145}{v}[/tex]

[tex]t - \dfrac{12}{60} = \dfrac{145}{v + 20}[/tex]

Therefore;

[tex]\dfrac{145}{v} - \dfrac{12}{60} = \dfrac{145}{v + 20}[/tex]

Which gives;

[tex]\dfrac{145}{v + 20} - \dfrac{145}{v} + \dfrac{12}{60} = 0[/tex]

Therefore

0.2·v² + 4·v - 2,900 = 0

v ≈ ±110.8 mph

The initial average speed of the airplane, v≈ ± 110.8 mph

Learn more  here:

https://brainly.com/question/11365874


Related Questions

REPOST*
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

4. Which month had the coldest of the three temperatures? Explain.

Answers

#4

June is the most coldest.

How?

Mention the temperatures

January=+6°F

June=-24°F

November=-2°F

Lowest is the coldest .(June is the coldest month)

January = 6°F

June = -24°F

November = -2°F

By the above given observation we can say that June is the coldest as it has the lowest temperature in all.

Trey is buying a computer on
sale. The origina Price was
4200. If the sale price is 5/6 of
the original Price . How much did
trey pay for the computer?

Answers

Answer:

3500

Step-by-step explanation:

To find a fraction of something just keep in mind that "of" means to multiply (when dealing with fractions and percents).  In this case we want to know what 5/6 of 4200 is.  So do (5/6)*4200 and that equal 3500.

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport and an instrument?

Answers

Answer:

13 because all you need to do is multiply 10 by 3 then subtract 27

Help help help please help

Answers

[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]

Cancel the fraction to simplify it.

[tex]8 {}^{2} \times 8 {}^{3} [/tex]

Calculate the product

[tex]8 {}^{5} [/tex]

Hope it helps...

Plot each pair of points in the Cartesian plane and solve for the distance between them. Write your answer on a separate one whole graph paper. ( 15 points) 1. A(0,8) and B(5,5) 2. C(3, 1) and D(0,-2) 3. EC -6,3) and F(-6,-2)​

Answers

Answer:

hame naghi ahta

Step-by-step explanation:

First, and correct answer gets brainliest, also worth 50 points

Answers

One angle be x

other is 2x-6

ATQ

[tex]\\ \sf\longmapsto x+2x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

[tex]\\ \sf\longmapsto 2x-6=2(32)-6=58°[/tex]

Answer:

58°

Step-by-step explanation:

The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°

x + 2x - 6° = 90°

3x = 90° + 6°

3x = 96°

x = 96° : 3

x = 32°

Substitution :

2x - 6°

= 2 × 32° - 6°

= 64° - 6°

= 58°

Which set of ratios is equivalent to 4:4

A. 8 to 10, 10/15 B, 8 to 10, 16/20

C. 15/20, 20:25 D. 40/50, 24;36

Answers

Answer:

B

Step-by-step explanation:

both simplify into 4:5

The ratio of fruit juice to water is 1:5. How
much water is needed to make 12 liters of
punch?

Answers

Answer:

10 liters.

Step-by-step explanation:

ratio: 1:5

sum of ratio: 1+5=6

Total volume of mixture = 12

Volume of water in mixture (fraction) = 5/6*12 = 5*2 = 10 liters.

How to divided 2.1 by 12.6

Answers

Answer:

0.1666666666666667

Step-by-step explanation:

2.1/12.6

Answer 0.16666666666666667

HELP IN THIS PLS I'LL DIRECTLY MARK YOU BRAINLIST!!]

Answers

Answer:

24 cars

Step-by-step explanation:

By using 11 cars and AED 79.75, you can find out the cost of washing 1 car.

(AED 79.75)/(11 cars) = AED 7.25 / car

Now we divide AED 174 by AED 7.25/car to find the number of cars.

(AED 174) / [(AED 7.25)/car] = (174/7.25) cars = 24 cars

Answer: 24 cars

I need to understand the process, any help is much appreciated. :)

Answers

Answer:

15 x -5y -6 -2y

-75y -6 -2y

-77-6

The outdoor temperature was 8 degrees at midnight. The temperature declined 5 degrees during each of the next 3 hours. What was the temperature at 3 A.M?

Answers

Answer:

-9 degrees

Step-by-step explanation:

workings -3 * 3 =  -9 degrees

Multiply (3)(-2)(5)
?? Help :((

Answers

Answer:

-30

Step-by-step explanation:

(3)(-2)(5)

= 3 × (-2) × (5)

= (-6) × (5)

= 6 × (-5)

= -30

[tex] [/tex]

Answer:

-30

Step-by-step explanation:

-2 x 5 = -10

-10 x 3 = -30

A bus pass has a starting value of $100. After one ride, the value of the pass is $98.25. After two rides, its value is $96.50. After three rides, its value is $94.75.
1. Write a rule to represent the remaining value on the card as an arithmetic sequence.
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $94.75
15 _____
2. What is the value of the pass after 15 rides?

3. How many rides can be taken with the $100 pass? (hint: set up an equation y=mx+b using the cost per ride as your NEGATIVE “m” value because your value goes down each time you ride and $100 as your starting “b” value. We’re solving for x when the total is 0. So, 0 = -___x + 100, fill in the blank with the cost per ride and solve for x.)

Answers

Answer:

73.75

Step-by-step explanation:

every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)

Which of the following describes the image of a triangle after a dilation that has a scale factor of 2/3?
A.-Each angle has 2/3 of the measure of its corresponding angle in the pre-image
B.-Each side has the same measure as its corresponding angle in the pre-image.
C.-Each angle has the same measure as its corresponding angle in the pre-image.
D.-Each side has 3/2 the length of its corresponding length in the pre-image.

Answers

We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.

We will see that the correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.

So if the 3 sides of the original triangle measured A, B, and C.

The new measures will be:

C' = k*CB' = k*BA' = k*A

Notice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.

From this, we can conclude that the only correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.

If you want to learn more, you can read:

https://brainly.com/question/18605984

Use the formula to find the slope of the line that passes through these two points. Show your work.

(1,2) and (7,7)

Answers

Answer:

Solution given:

[tex](x_1,y_1)=(1,2)[/tex]

[tex](x_2,y_2)=(7,7)[/tex]

now

slope:[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}[/tex]

Slope: 5/6

Can you help me find the missing sides and calculate the perimeter?

Answers

The bottom side is 1m and the side on the right is 2m because looking at the other sides all of the sides should be 10.

Step-by-step explanation:

Damon is 7 years older than his brother Mark. The sum of Damon and Mark's age is 29.

Mark is

years old.

Damon is

years old

Answers

Answer:

Damon is 18 years old and Mark is 11 years old.

Step-by-step explanation:

I did 29-7=22 Then I did 22/2=11. Then I just added 11+7=18 for Damon and the rest was Mark.

10r = –50 solve for r

Answers

Answer:

10r=-50

r = -50/10

r = -5

.........

r would equal -50/10 and you would get -5

i will give brainliest

Answers

Answer:

if you see the graph for x=-1

the y is equal -4

you can draw a straight line parallel y axes from point x=-1 it will cut the graph on y=-4

If you do not know please do not answer

A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Sunday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Thanks (*^▽^*)

Answers

575 - 75 = 500 fewer means to subtract btw

Help! I’ll mark brainly list but please explain!!

Answers

Answer:

9.75, 2, and 56.25

Step-by-step explanation:

Since it's 4 movie tickets, 2 popcorns (which are $6.25),

4(9.75) + 2(6.25 -> Popcorn) + 4.75

= 39 + 12.5 + 4.75

= 39 + 17.25

= $56.25

As for the total cost,

4 * 9.75 = 39

2 * 6.25 = 12.5

1 * 4.75 = 4.75

Feel free to mark this as brainliest! :D

The coldest day in ohio clocked in at 40 below zero. In one day though the temperature changed to 20 below zero How much temperature change was there that day

Answers

40 below 0 would be -40 and 20 below 0 would be -20°. So there’s a change of (increase of) 20° that day. It would also make sense if you drew a number line. You would see the interval between -40 and -20 is 20.

Yolanda ran three times last week. Here are the distances she ran (in kilometers).
3.99, 10, 6.4
What is the total distance Yolanda ran on these three days?

Answers

Answer:

20.03

Step-by-step explanation:

distance ran For 1st day+distance ran For 2nd day+distance ran For 3rd day.

3.99+10.6.4=20.03

Drew and Danielle are sightseeing for the day. Between the two of them they take 118 pictures. If Drew takes 14 more than three times as many pictures as Danielle, how many pictures for each friend take?

Answers

Answer:

Drew = 92 pictures, Danielle = 26 pictures

Step-by-step explanation:

Amount of pictures Drew has = x

Amount of pictures Danielle has = y

First make a system of equations:

x + y = 118

x = 3y + 14

Then solve with substitution:

(3y + 14) + y = 118

4y = 104

y = 26

x + 26 = 118

x = 92

Allowing 16 % discount on the marked price of a television and levying 13 % VAT, a buyer has to pay Rs 18,984 to buy it. Find the marked price of the Television. ​

Answers

let marked price be 100x

16% discount , sale price = 84x

13% VAT = 13/100 *84x= 10.92x

ADD 94.92x = Rs 9492

10.92x = Rs 1092 ANSWER

8 meters o om 16 meters

Answers

Answer:

2

Step-by-step explanation:

It would be 2 because 16 divided by 8 is 2

Help would be very much appreciated I do not understand. Thanks.

Answers

Answer:

im pretty sure it is 2 and 8

Step-by-step explanation:

someon please helpppp!

Answers

Answer:

The equation you would graph would be y=-4 +x  or y= x-4 (basically the same thing)

y=0 then x would equal 4

Step-by-step explanation:

y=-4+x             x-y=4

0=-4+x            -x    -x

+4 +4              -y= 4-x

4=x                /-1    /-1

                     y= x -4

What is 19% of 41?
(Simplify, no links)

Answers

Answer:

7.79

Step-by-step explanation:

19 percent of 41 is the same as 19 per hundred of 41. We can therefore make the following equation:

19/100 = X/41

To solve the equation above for X, you first switch the sides to get the X on the left side, then multiply each side by 41, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

19/100 = X/41

X/41 = 19/100

X*41/41 = 19*41/100

X = 779/100

X = 7.79

The work above shows the long way to explain how to calculate 19 percent of 41 in order to give you a foundation and better understanding of how to calculate the percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 19 percent of 41?", Y is 41 and P is 19:

(41 * 19)/100 = 7.79

And once again you see that the answer is 7.79.

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