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
zhenek [66]
2 years ago
8

A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 200 mp

h flying to a city and 120 mph returning to the international airport. The total flying time was 4 h. Find the distance between the two airports.
Mathematics
1 answer:
andrew11 [14]2 years ago
5 0

Step-by-step explanation:

Speed = Distance/Time

If one commuter plane averaged 200 mph flying to a city

Time taken to fly to the city will be;

t1 = d/200

d = 200t1

If he used 120 mph returning to the international airport, the total time used to the airport will be

t2 = d/120

d = 120t2

Since the distance are the same;

200t1 = 120t2

t1/t2 = 120/200

t1/t2 = 3/5

5t1 = 3t2

t1 = 3t2/5

Substitute into t1+t2 = 4

3t2/5 +t2 = 4

8t2/5 = 4

8t2 = 20

t2 = 20/8

t2 = 2.5min

Since d = 120t2

d = 120(2.5)

d = 300miles

Hence the total distance between the two airports is 300miles

You might be interested in
-2x + 7<br> Coefficient(s) :<br> Variables(s):<br> Constant:
Serggg [28]

Answer:

Variable = x

Coefficient = 2

Constant = 7

A variable is an unknown that holds an unknown value.

A coefficient is a number that multiplies something.

A constant is a fixed number.

Hope This Helps :)

4 0
3 years ago
NEED HELP ASAP. By what percent will a fraction change if its numerator is decreased by 30% and its denominator is decreased by
joja [24]

Answer:

0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875

So the fraction is reduced by 12.5%

5 0
3 years ago
A bookstore has 5 boxes of 10 in each box on Monday the bookstore sold 20 books how many books remain to be sold?
AlekseyPX

Answer: 30

Step-by-step explanation: five boxes with ten each which means there's a total of 50 item if they sold 20 you would do 50 -20=30

8 0
2 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
3 years ago
-1/19,7/4,-4/7 least to greatest
oee [108]
Answer:

Order from Least to Greatest
-4/7  <  -1/19  <  7/4


Showing Work
Rewriting as fractions or any negatives if necessary:
-1/19, 7/4, -4/7

The least common denominator (LCD) is: 532.

Rewriting as equivalent fractions with the LCD:
-28/532, 931/532, -304/532

Ordering these fractions by the numerator:
-304/532  <  -28/532  <  931/532

Therefore, the order of your input is:
-4/7  <  -1/19  <  7/4

8 0
3 years ago
Other questions:
  • For the past three months, Grace used her cell phone for 43 minutes, 62 minutes, and 57 minutes how many minutes would she have
    12·1 answer
  • Which two temperatures have a sum of 0 degrees Celsius? (1 point) Select one: a. 4 degrees Celsius and 4 degrees Celsius b. 4 de
    12·1 answer
  • What is the midpoint of FB​
    12·1 answer
  • Michelle’s mom is letting her paint her room pink. What formula would she use to figure out how much paint she needs.
    8·1 answer
  • The original price of a bicycle was $100.00. In March, a bicycle went on sale for 10% off. In April, the sale price was raised b
    5·1 answer
  • The sum of 10x + 6 and -x + 8
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=a2%20%5Cdiv%20a%20-%20b%20%2B%20b2%20%5Cdiv%20b%20-%20a" id="TexFormula1" title="a2 \div a - b
    14·2 answers
  • PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!
    15·1 answer
  • Determine a quadratic equation, in standard form, that has the pair of root: x=-3, x=5
    7·2 answers
  • Type a number for the types of journals that will be available to you in the new lma
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!