Using a calculator, I arrived to answer C because if you enter it in right you arrive at 39.419, rounding it to 39.42
<h2>
Answer: (5, 2)</h2>
<h2>
System of equations:</h2>
2x - y = 8
3x + y = 17
<h2>Solve for x:</h2>
2x - y = 8
3x + y = 17
________ +
5x = 25
x = 5
<h2>Plug in x to one of the equations to solve for Y</h2>
2(5) - y = 8
10 - y = 8
-y = -2
y = 2
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Answer:
2,2,3
Step-by-step explanation:
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