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bulgar [2K]
3 years ago
9

Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how

many more gallons of gasoline does vehicle a need than vehicle b to make a 1,008-mile trip?
Mathematics
1 answer:
Elis [28]3 years ago
4 0

So first we need to find the amount of gallons that it would take for each vehicle to travel 1,008 miles. We can do this by multiplying and canceling units:

Vehicle A: \frac{1,008mi}{1}* \frac{gal}{14mi}=72gal

Vehicle B: \frac{1,008mi}{1}*\frac{gal}{36mi}=28gal

So we found that Vehicle A needs 72 gallons to make the trip, and Vehicle B needs 28 gallons to make the trip.

Let's find the difference:

72-28=44

Therefore, Vehicle A needs 44 more gallons of gasoline than Vehicle B to make the trip.

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what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe
djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = \dfrac{ - 1}{m}

Or, M = \dfrac{ - 1}{1}

∴  M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - y_1 = M × (x - x_1)

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   . Answer

5 0
3 years ago
What is the area of the following trapezoid in square feet?
tangare [24]

Answer:

82.5 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 7.5, b₁ = 7 and b₂ = 15 , then

A = \frac{1}{2} × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²

4 0
2 years ago
Read 2 more answers
A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg
solong [7]

Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

8 0
2 years ago
9 is what percent of 45? Use the table to find the percent
DedPeter [7]
20% because 9 divided by 45 is 0.2 which is 20%
3 0
3 years ago
What is 3/5 × 4/9 as a fraction.<br><br> Plz help :(
lozanna [386]
3/5 * 4/9 = 4/15. Hope this helps

3 0
3 years ago
Read 2 more answers
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