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Karolina [17]
3 years ago
10

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 440 miles on 20 gallons

of gas. How far could you drive on 60 gallons o gas? What is the car’s gas mileage?
Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

Step-by-step explanation:

20 : 440 = 60:x

Product of means = 440*60

Product of extremes = 20*x

20*x = 440*60

x = 440*60/20 = 440*3

x = 1320 miles

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo
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Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

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Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

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