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sashaice
1 month ago
7

The distance d (in miles) you travel in a car is given by the two equations shown, where t is the time (in hours) and g is the n

umber of gallons of gasoline the car uses.Two equations: d=55t and d=20g a. Write an equation that relates G & T b. Solve the equation for G c. You travel for six hours. How many gallons of gasoline does the car use? How far do you travel?
Mathematics
2 answers:
lawyer [12.5K]1 month ago
4 0
We have the equations d=55t and d=20g. The left sides match, as do the right sides. First, we derive the equation: 55t=20g. Then, we can deduce that g=(55/20)t. If t=6 hours, then g=(55/20) *6 = 165/10=16.5 gallons. The distance can be calculated as d= 55t= 55*6=330 miles, which is also equal to d=20g=20*16.5=330 miles.
AnnZ [12.3K]1 month ago
4 0
The distance d (in miles) is defined by d=55t, where t represents time in hours. Similarly, d=20g where g signifies the gallons of gasoline consumed. To relate g to t, we write the equation accordingly. Solving for g, we find: Hence, upon traveling for six hours, the vehicles utilize 16.5 gallons of gasoline. We can apply the equation to ascertain the travel distance.
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