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
Cerrena [4.2K]
3 years ago
15

Problem

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

The maximum speed of Hal's airplane in still air is:

v= 250\ miles/h

The speed of the wind

c = 50\ miles/h

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

v=\frac{d}{t}  and t*v=d

The distance that Hal travels when traveling with the wind is:

(2\ hours)(v + c) = 600 miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

(3\ hours)(v-c) = 600 miles

Now we solve the first equation for v

(2)(v + c) = 600

2v + 2c = 600

2v= 600-2c

v= 300-c

Now we substitute the value of v in the second equation and solve for c

3((300-c)-c) = 600

3(300-2c) = 600

900-6c = 600

-6c = 600-900

-6c = -300

6c = 300

c = 50\ miles/h

Then:

v= 300-(50)

v= 250\ miles/h

The maximum speed of Hal's airplane in still air is:

v= 250\ miles/h

The speed of the wind

c = 50\ miles/h

You might be interested in
964 two correct wrong place
Anvisha [2.4K]

Answer:

679

Step-by-step explanation:

The goal of this exercise is to find a three digit number given five statements.

1 - We can conclude that two digits out of 964 are correct but in the wrong place.

2 -  One digit out of 147 is correct, but in the wrong place

3 - One digit out of 189 is correct and in the right place. Since 1 is on the same place in 147 and 189, 1 is not the correct digit. The correct digit is either 8 or 9.

4 -   One digit out of 286 is correct, but in the wrong place. Since 8 is on the same place in 189 and 286, 8 is not the correct digit. We can then conclude that 9 is correct (statement 3) and in the right place (third) and that either 2 or 6 are correct but in the wrong place.

5 -  523 are all wrong. We can then conclude that 6 is correct and that is not in the third or second place, which leaves it in the first place.

If 1 and 4 are incorrect, from the second statement, we infer that 7 is the remaining correct digit at the second place.

Therefore the number is 679

7 0
3 years ago
Please help me with these questions, image attached.
Temka [501]

Answer:

a

Step-by-step explanation:


4 0
4 years ago
Kelly had some rope in her closet. She cut the rope into 7 equal pieces. Each piece was 1/2 ft long.
posledela
If she cuts the rope into halves seven times 
two times one half equals a whole
thats 3 
plus a half
3 and a half
the answer is B
3 0
3 years ago
Which expression represents the value of the series below?
Fynjy0 [20]

Answer:

  1) Σ [n=1, 418] (3+{n-1)4)

Step-by-step explanation:

The expression for the sum is the sum over the number of terms of the expression for a general term.

__

<h3>general term</h3>

The general term of an arithmetic series is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference.

The given series has first term a1=3, and common difference d=7-3 = 4. Then the general term is ...

  an = 3 +4(n -1)

<h3>number of terms</h3>

The last term will correspond to an n-value that can be found from ...

  1671 = 3 +4(n -1)

  1668 = 4(n -1) . . . . subtract 3

  417 = n -1 . . . . . . . divide by 4

  418 = n . . . . . . . add 1

<h3>sum expression</h3>

The expression for the sum is ...

  \displaystyle \boxed{\sum_{n=1}^{418}(3+(n-1)4)}

4 0
2 years ago
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
tangare [24]

Answer:

The correct answer would be D, The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.

Step-by-step explanation:

That answer is correct because say you have 1/2 as a fraction the percent is 50% which is between 1 -100. The decimal would be .50 which is also between 0-1. Therefore D is the correct answer.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The area of the base of a rectangular juice box is 4 1/2 sq.in. If the volume of the box is 18 cubic inches, how tall is the box
    10·1 answer
  • A board measures 34.1 cm. What is the greatest possible error allowed for the measurement?
    8·1 answer
  • Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
    6·1 answer
  • How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)
    7·2 answers
  • How many squares are in the 20th case
    8·1 answer
  • PLEASE PLEASE HELP??!?
    11·1 answer
  • What is the measure of the angle 4?
    11·1 answer
  • Hello can someone please help me with this. I'll give 50 points.
    14·2 answers
  • Find the degree measure of each arc
    5·1 answer
  • *
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!