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
stira [4]
1 year ago
7

A pilot travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if t

he pilots speed in still air is 235 miles per hour The speed of wind is ?

Mathematics
1 answer:
Anna71 [15]1 year ago
4 0

Let x be speed of wind.

Speed of plane with the wind = 235 + x

Speed of plane against the wind = 235 - x

use the formula,

Distance = (Rate)(Time),

thus,

Time=\frac{Distance}{Rate}

Time to go 450 miles with wind = time to go 396 miles with wind

\begin{gathered} \frac{450}{235+x}=\frac{396}{235-x} \\ 450(235-x)=396(235+x) \\ 105750-450x=93060+396x \\ 105750-93060=396x+450x \\ 12690=846x \\ x=15 \end{gathered}

The speed of the wind is 15 mph.

You might be interested in
Please help me out!​
seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

Fourth option

7 0
3 years ago
What is the value of x if the average of 10, 11, 12 and x is 9?
frosja888 [35]

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3

Hence, the value of x is 3.

6 0
3 years ago
Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0
3 years ago
Write the standard equation of the circle: x^2 +2x + y^2 =55 +10y
lidiya [134]

x^2 +2x + y^2 =55 +10y\\(x+1)^2+(y-5)^2=81

7 0
3 years ago
In our family there is five boys and one girl. What percent of the family is boys?
saw5 [17]

Answer:

83% are boys

Step-by-step explanation:

Im not sure if you have to round but you take the total number of family members (6) and divide it by how many boys (5) which would be 0.8333333 which you can round to either 80 or 83

8 0
3 years ago
Other questions:
  • An irregular figure was broken into a triangle and rectangle. The area of the triangle is in2. The area of the rectangle is in2.
    6·1 answer
  • Help, with this multiple choice question?
    10·1 answer
  • Katie has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her music player as Lou. Altoge
    11·1 answer
  • Please help i need the answer
    14·1 answer
  • Guys i need help asap someone good with geomtry???
    8·1 answer
  • Mrs. Murphy earns a 3.5% commission at her job in retail. How much does she need to sell in order to earn $630
    10·2 answers
  • 4. Lynn can walk two miles intenta
    6·1 answer
  • Which box holds more popcorn?
    12·1 answer
  • Inverse operationsare pairs of mathematical manipulations in which one operation undoes the action of the other—for example, add
    9·2 answers
  • Which fraction equals 29 }}16 ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!