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LuckyWell [14K]
3 years ago
10

Suppose y varies directly with x write a direct variation equation that relates x and y

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

Option D

Y=2.6x

Step-by-step explanation:

When y=10.4 and x=4, these two can be related by the equation

10.4=4x

Making x the subject of the formula then x=10.4/4=2.6

Relating x and y then we have the equation

Y=2.6x

For example, when x is 4 then y=2.6x=2.6(4)=10.4 as given in the question. Therefore, the right option is D

Y=2.6x

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which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11
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Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

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Car A is rated at 32 ​mi/gal (miles per​ gallon) for city driving and 29 ​mi/gal for highway driving. Car B is rated at 27 ​mi/g
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The gallons of gas that each vehicle would consume for the different amounts of driving are as follows:

a) For 300 mi of city driving plus 100 mi of highway driving, car A will consume <u>12.825 gallons</u> of gas, while car B will consume <u>14.05 gallons</u> of gas.

b) For 100 mi of city driving plus 300 mi of highway driving, car A will consume <u>13.475 gallons</u> of gas, while car B will consume <u>12.52 gallons</u> of gas.

<h3>Data and Calculations:</h3><h3>Rating (miles per gallon)</h3>

                                           City Driving     Highway Driving

Car A                                     32 mi/gal            29 mi/gal

Car B                                     27 mi/gal            34 mi/gal

<h3>Miles of Driving</h3>

                   City Driving     Highway Driving

a)                       300 mi              100 mi

b)                       100 mi              300 mi

<h3>Car A's Consumption of Gas:</h3>

                   City Driving               Highway Driving              Total

a)              9.375 gal.(300/32)         3.45 gal. (100/29)        12.825 gal.

b)              3.125 gal.(100/32)         10.35 gal    (300/29)     13.475 gal.

<h3>Car B's Consumption of Gas:</h3>

                   City Driving               Highway Driving             Total

a)                11.11 gal. (300/27)         2.94 gal. (100/34)         14.05 gal.

b)              3.70 gal. (100/27)          8.82 gal. (300/34)        12.52 gal.

Thus, different driving ratings (miles per gallon) show the differences in gas consumption by vehicles in city driving and highway driving.

Learn more about the consumption of gas for driving at brainly.com/question/13244789

#SPJ1

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