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Mila [183]
3 years ago
9

A family has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of

40 miles per gallon of gas. during one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 60 gallons. how many gallons were consumed by each of the two cars that week?
Mathematics
1 answer:
Sedbober [7]3 years ago
3 0
1 ANSWER<span><span>Michael J.East Elmhurst, NY</span>1 0</span>Let x = gallons consumed by car 1Let y = gallons consumed by car 2  We set up our equations: 35x+40y = 1850        eq1x+y = 50                   eq2 Substituting eq 2 into eq 1, 35x+40(50-x) = 185035x+2000-40x = 1850-5x+2000 = 1850-5x = -150   x = 30 Substitute value of x into eq 2. x+y = 5030+y = 50      y = 20 Car 1 consumes 30 gallons of gas.Car 2 consumes 20 gallons of gas
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Help please. <br> Give the slope of y - 3 = 4(x + 8) and a point on the line
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Make y the subject :
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y - 3 = 4(x + 8)      
y - 3 = 4x + 32           // Apply distributive property
y = 4x + 35                // Add 3 to both sides

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Identify Slope : 
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Slope = 4

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Find a point on the line :
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When x = 0, 
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Point = (0, 35)

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Answers :
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(b) One point on the line is (0, 35)
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