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|4x-9|=5x
subtract 4 to both sides
and that will give you
|-9|=x then the 9 turns positive because of the brackets
9=X
Answer:
One-sixth
Step-by-step explanation:
First we need to add the blue tokens (two-sixths) plus the gold tokens (two-sixths) when you add those you get five-sixths and since we are dealing with sixths we would subtract five-sixths from six-sixths
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
