100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.
f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160
<u>-60 </u>= <u>-2t
</u>-2 -2
t = 30 (Then plug this into either equation to solve for f)
Therefore,
t = 30 questions
f = 10 questions
Answer:
Step-by-step explanation:
6x=1/2(2x +7) Multiply both sides by 2
2*6x = 1/2(2x + 7)*2
12x = 2x + 7 Subtract 2x from sides
12x-2x =2x-2x+7
10x = 7 Divide by 10
x = 7/10
x = 0.7
Let's check it
6(0.7) = 4.2
1/2 (2*0.7 + 7)
1/2 (1.4 + 7)
1/2 ( 8.4)
4.2
Both sides check. The answer must be x = 0.7
<em>The question has missing details. However, general questions that could be asked is as follows:</em>
<em>(1) The number of miles traveled after using (say) 5 gallons</em>
<em>(2) The number of gallons used after traveling for (say) 36 miles</em>
Answer:
See Explanation
Step-by-step explanation:
Given

A linear equation is represented as:

Where
and

c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5




<em>60 miles traveled</em>
Solving (b): s = 36


Collect like terms


Solve for r

<em>42 gallons used</em>
Answer: B
Step-by-step explanation:
(4 x 20) + (4 x 4) - This can be simplified.
80 + 16 = 96
24 x 4 = 96
Therefore, B is correct.
Answer:
10 hours
Step-by-step explanation:
shara takes L