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
zimovet [89]
3 years ago
10

When a plane flies into the wind, it can travel 3000 ml in 6 h . When it flies with the wind, it can travel the same distance in

5 h. Find the rate of the plane in still air and the rate of the wind
Mathematics
2 answers:
Makovka662 [10]3 years ago
5 0

Answer:

Step-by-step explanation:

let speed of plane in still air =x

speed of wind=y

(x-y)6=3000

x-y=3000/6=500   ...(1)

(x+y)5=3000

x+y=3000/5=600   ...(2)

adding (1) and (2)

2x=1100

x=1100/2=550

550 +y=600

y=600-550=50

speed of plane in still air=550 m/hr

speed of wind=50 m/hr

jeka943 years ago
4 0

Answer:

  • plane: 550 mph
  • wind: 50 mph

Step-by-step explanation:

If p and w represent the speeds of the plane and wind, respectively, the speed into the wind is ...

  p - w = (3000 mi)/(6 h) = 500 mi/h

And, the speed with the wind is ...

  p + w = (3000 mi)/(5 h) = 600 mi/h

Adding these two equations gives us ...

  2p = 1100 mi/h

  p = 550 mi/h . . . . . . . divide by 2

Then the wind speed is ...

  w = 600 mi/h - p = (600 -550) mi/h

  w = 50 mi/h

The rate of the plane in still air is 550 mi/h; the rate of the wind is 50 mi/h.

You might be interested in
one day in December the temperature in London was -3 degrees Celsius in Stockholm it was -5 degrees it was -8 degrees Celsius wh
lara [203]
The weather in the three areas were all very similar on that day in particular.
5 0
3 years ago
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

pay?

Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

10. What is 98.75/4 = 24.6875

11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

7 0
3 years ago
Whoever answers the questions correctly gets brainlist
andrew11 [14]

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

7 0
3 years ago
On a coordinate plane, a line is drawn from Rock to Tree. The x- and y-axes are labeled feet. Rock is at (3, 2) and Tree is at (
-Dominant- [34]

Answer:

The second choice (7.6,8.8)

Step-by-step explanation:

The missing image is attached

We use the section formula:

(x,y)=(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute x_1=3,x_2=16,y_1=2,y_2=21 and m=5, n=9

(x,y)=(\frac{5*16+9*3}{5+9},\frac{5*21+5*2}{9+5})

We simplify to get:

(x,y)=(\frac{80+27}{14},\frac{105+10}{14})

This simplifies to:

(x,y)=(\frac{107}{14},\frac{125}{14})

In decimals we get:

(x,y)=(7.6,8.8)

6 0
3 years ago
Read 2 more answers
What is the correct 3 syllables on this words, decorate, temperature, equation, vertical?
Rzqust [24]
If you're asking what I think you are, 
Decorate, Equation, and Vertical has 3 syllables.
Temperature has 4 syllables - <span>tem-per-a-ture</span>
3 0
3 years ago
Other questions:
  • In the equation x^2+kx+54=0 one root is twice the other root find k
    7·1 answer
  • (-8,-2) and (-4,6)<br>what does y =​
    9·1 answer
  • Help me out on this one?
    7·1 answer
  • 10 increased by what percent is 30
    13·2 answers
  • 1/3 woodwind,1/6 percussion,1/2 brass. The Reagan School Marching Band has three percussion musicians.How many musicians altoget
    10·2 answers
  • Need help ASAP! due soon!!!
    8·2 answers
  • Work out the time taken, in minutes, for a 68km journey at an average speed of 85km/h​
    7·1 answer
  • I need help asap!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Consider the differential equation dy/dx= e^x-1/2y. If y = 4 when x = 0 what is a value of y when x = 1?
    12·1 answer
  • PLS HELP!! In a class of 30 students, the height of all students was measured and assembled in the table below. Find the value o
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!