Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.
Therefore time for forward journey = x / 60
Return journey = x / 50
The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8. LCM = 300
Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
11x <= 2400
x <= 2400/11
x <= 218.18
The picnic spot must be less than or equal to 218.18 km.
A linear equation that represents the model is: x + 6 = 10; x = 4
<h3>How to solve linear equations?</h3>
Let us first define the variables based on the attached image of the ball balance:
Let x = number of balls that contains the square.
On the left side, we have; square + 6 balls
On the right side, we have; 10 balls
To balance this, we have;
x + 6 = 10
x = 10-6
x = 4
Thus, a linear equation that represents the model is:
x + 6 = 10; x = 4
Read more about Linear equations at; brainly.com/question/9406333
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We know that
[area of the painting]=13 in* 17 in-----> 221 in²
if a<span>n artist painting at
$0.30 per --------------> 1 in</span>²
x$--------------> 221 in²
X=221*0.30------> x=$66.30
the answer is
$66.30