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
deff fn [24]
3 years ago
12

A plane flies 910 miles with the wind in the same time it can go 660 miles against the wind. The speed of the plane is still air

in 305 miles per hour. What is the speed of the wind?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

The speed of the wind is 48.56

Step-by-step explanation:

We can use the following formula to calculate the distance:

distance = speed x time

Let w represent the speed of the wind.

If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305

910 = (305 + w) x time (1)

If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305

660 = (305 - w) x time (2)

Since the time is equal for both equation in 1 and 2:

\frac{910}{305+w} = \frac{660}{305-w}

→ 910(305-w) = 660(305+w)

→ 277550 - 910 w = 201300 + 660w

→ 1570w = 76250

→ w = 48.56

You might be interested in
The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a
Vanyuwa [196]
They will win 16 games.


3 0
3 years ago
HELPP!!! I'm supposed to determine if this was answered correct or wrong. What is it? Also please explain it.​
Ann [662]

Answer:

It was answered correctly.

Step-by-step explanation:

Parenthesis means mutiplication so you can do iy rhat way or 4(c)^2=4×c^2.

4 0
3 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
Kelly has nine pieces of ribbon. She recorded the length of each piece in the line plot shown.
Ugo [173]

Answer: 44 inches

Step-by-step explanation:

The 3 longest are 14.5 14.5 and 15 so the answer is adding them and 44 is the answer.

6 0
3 years ago
How do you solve -2(3x-1)-3=4x+5-x
maria [59]

Answer:

-6x+2-3=3x+5

2-3-5=3x+6x

-6=9x

x=-2/3

4 0
3 years ago
Other questions:
  • Find the measure of the missing angle
    11·1 answer
  • Solve for x: 2 over 10 equals 3 over quantity x minus 9
    11·2 answers
  • Identify the maximum and minimum values of the function y = 3 cos x in the interval [–2π, 2π]. Use your understanding of transfo
    12·1 answer
  • write the number that can be shown with this many hundreds, tens, and ones, 1 hundreds, 2 tens, 18 ones
    13·1 answer
  • 7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rec
    15·1 answer
  • Solve for x parallel lines ​
    8·1 answer
  • Answer pllzzzzzzzzzzzz
    8·1 answer
  • A gym employee is paid monthly. After working for three months, he had earned $4,500. To determine how much money he will make o
    15·1 answer
  • BRAINLIEST FOR WHOEVER SOLVES IT CORRECTLY FIRST! Find the slope of the line passing through each of the following pairs of poin
    13·2 answers
  • Help me with this people
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!