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3 years ago

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A plane flies 640 mi with the wind in the same time that it takes to fly 440 mi against the wind. If this plane flies at the rat

e of 215 mph in still air, what is the
speed of the wind? Round to the nearest whole number, if necessary.

1 answer:

777dan777 [17]3 years ago

6 0

Answer:

what that this answer ⁉️

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An aircraft has a maximum of 30 first class seats and 220 economy seats.

Sidana [21]

Answer:

$x\leq 30$

$y\leq 220$

$240x+120y$

Step-by-step explanation:

Let

x ----> the number of first class seats

y ----> the number of economy class seats

we know that

An aircraft has a maximum of 30 first class seats

so

$x\leq 30$

An aircraft has a maximum of 220 economy seats

$y\leq 220$

A flight will be cancelled if the money taken for the seats is less than $28,800.

so

$240x+120y$

therefore

Three inequalities that represent the situation are

$x\leq 30$

$y\leq 220$

$240x+120y$

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3 years ago

Lizzo is building a storage container in her basement the container will have two sections that are connected how many cubic foo

hammer [34]

Answer:

312

Step-by-step explanation: You need to multiply your numbers and I don't know if you got my numbers.

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3 years ago

Write each fraction or mixed number as a decimal. 8 21/40

Ivenika [448]

Answer:

841

Step-by-step explanation:

8 times 40=320+21=341

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4 years ago

A line passes through the point (8, -9) and had a slope of -5/4. Write an equation in slope-intercept form for this line.

artcher [175]

Answer:

y = -5/4x +1

Step-by-step explanation:

The slope-intercept form of a line is given by

y = mx + b where m is the slope and b is the y intercept

We are given the slope and a point on the line

y = -5/4 x + b

We can substitute the point for x and y and solve for b

-9 = -5/4(8)+b

-9 = -10+b

Add 10 to each side

-9+10=-10+10+b

1 = b

The slope intercept form of the equation is

y = -5/4x +1

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2 years ago

Each side of a square is increasing at a rate of 8 cm/s. At what rate (in cm2/s) is the area of the square increasing when the a

statuscvo [17]

Answer:

Step-by-step explanation:

This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.

We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:

$A=s^2$ where s is a side.

Since we are looking for the rate at which the area is changing, $\frac{dA}{dt}$ , we need to take the derivative of area formula implicitly:

$\frac{dA}{dt}=2s\frac{ds}{dt}$ that means that if $\frac{dA}{dt}$ is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:

$49=s^2$ so

s = 7

We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is $\frac{ds}{dt}$ . Filling it all in:

$\frac{dA}{dt}=2(7)(8)$ and

$\frac{dA}{dt}=112\frac{cm^2}{s}$

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3 years ago

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