1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liono4ka [1.6K]
3 years ago
15

A plane traveled 1456 miles to Bangkok and back. The trip there was with the wind. It took 13 hours. The trip back was into the

wind. The trip back took 26 hours. Find the speed of the plane in still air and the speed of the wind.
Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer: speed of the plane in still air is 84 mph; speed of the wind is 28 mph.

Step-by-step explanation:

Let s =speed of plane in still air

let w = speed of the wind

(s+w) = ground speed with wind

(s-w) = ground speed against the wind

Then, use a distance equation for each way. Note that

distance = speed × time

13(s+w) = 1456

26(s-w) = 1456

Divide the 1st equation by 13, and divide the 2nd equation by 26, we will have:

s + w = 112

s - w = 56

Using elimination method

2s = 168

s = 168/2

s = 84

s = 84 mph plane speed in still air

s + w = 112

84 + w = 112

Wind speed, w = 112 - 84 = 28mph

You might be interested in
1+10=10<br> 2+20 =20<br> 3+30=28<br> 4+40=32<br> 5+50=28<br> 6+60=?
aniked [119]

Hey! Your answer is here!

The answer to the problem is 10.

Hope this helps! :)

6 0
2 years ago
Ellis has 29 nickels, 45 dimes, 14 quarters, and 18 fifty-cent piece. How much money does he have
egoroff_w [7]

Answer:

$18.45

Step-by-step explanation:

1.45 in nickels

4.5 in dimes

3.5 in quarters

9 in fifty cent piece

now you add them

1.45+4.5+3.5+9=

4 0
3 years ago
Read 2 more answers
Guys i need your HELP ASAP​
ivanzaharov [21]
To solve this, you’ll first need to solve for their slopes.

The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3

We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3

The equation you get it y = 1/3x + b.

Now you will need to solve for b by substituting in the first ordered pair of line R.

2 = 1/3(1) + b.

Once you solve for b, you should get 5/3 and y = 1/3x + 5/3

Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.

y = 1/3(10) + 5/3.

Your solution should be 5.

So your answer is: a = 5
8 0
3 years ago
If you are self-employed, you don't have to pay FICA on all your salary, just on 92.35% of it. If your salary is $128,255 what i
Artist 52 [7]

Answer:

The amount that I am required to pay monthly as FICA if my salary remains constant is $18,121.85¢

Step-by-step explanation:

Federal insurance contributions act is a law that mandates all employers of labour to withhold medicare and certain taxes from the wages that are paid to employees or workers. These taxes are remitted to the government later which is then used for the provision of basic amenities and quality health care.

Since, I am only required by law to pay FICA on only 92.35% of my monthly salary, we need to calculate the the actual amount that makes up 92.35 percent of my monthly salary.

If $128,255 is my current monthly salary, then 92.35% of it will be:

92.35/100 × 128,255

= 0.9235 × 128,255

= $118,443.49¢

This is the part of his monthly salary that he is required by law to pay FICA on.

Then, if FICA is 15.3% of a worker's taxable income, then I am required to pay 15.3% of the taxable $118,443.49¢ since I am self employed and mustn't pay it on the entire $128,255 that I earn monthly.

My monthly FICA contribution is then:

15.3/100 × 118,443.49

= 0.153 × 118,443.49

= $18,121.85¢.

Therefore, if my salary remains constant, the amount that I am required by law to pay monthly as FICA is $18,121.85

6 0
3 years ago
Read 2 more answers
Which equation represents a line that passes through (2, –1/2) and has a slope of 3?
KIM [24]
Hello,

y+1/2=3(x-2)
or y=3x-13/2

8 0
3 years ago
Read 2 more answers
Other questions:
  • Jillian ran 40 miles in one week. Her friend Lacey ran the distance that Jillian ran. How many miles did Lacey run? Express your
    14·1 answer
  • In your sock drawer you have 4 blue, 5 gray, and 3 black socks. half asleep one morning you grab 2 socks at random and put them
    7·1 answer
  • A number increased by 5 and divided by 2 is equal to 75. What is the number?
    15·1 answer
  • A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 6 had a mispriced item. If 1,6
    11·1 answer
  • When using a power tool, never engage the?
    9·1 answer
  • Please help i m gonna give brainlest
    10·1 answer
  • Consider AWHY below.
    10·1 answer
  • Find the slope of the line passing through the points (7,-9) and (3,-2)
    14·1 answer
  • What is the slope of the line through (- 3, 2) and (0, 1) ?
    5·1 answer
  • Solve the following system of equations , and find the ordered pair. X =-y-6 and -7x +6y=-10
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!