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Lynna [10]
3 years ago
6

An airplane files with a constant speed of 680 km/h. How far can it travel in 2 1/4 hours?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0
\frac{distance}{hour} =\frac{680km}{1 hour} = \frac{x}{2\frac{1}{4}}\\
\frac{680}{1} = \frac{x}{2\frac{1}{4}}\\
680*2\frac{1}{4}=1*x\\
1530=x

The plane can travel 1530km in 2 \frac{1}{4}hours.
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Hey there!

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Your correct answer would be (2.98)

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The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If S
TEA [102]

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

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hours: ?

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First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

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3 years ago
Which equation represents the data in
klasskru [66]

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

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The equation is y = 2x - 4

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