Find the area of a circle who is diameter is 27 inches(use 3.1416)
2 answers:
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Answer:
6 games and 3 rides
Step-by-step explanation:
Let the number of games Brianna played be x,
and the number of rides she went on be y.
Total cost for games= 1.25x
Total cost for rides= 3.75y
Since number of games is twice the number of rides,
x= 2y -----(1)
Total costs= cost of games +cost of rides
Multiply the whole equation by 4 to remove the decimals:
Simplify by dividing the whole equation by 5:
Label the equation:
x +3y= 15 -----(2)
Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.
I will choose 3 points to plot on the graph for each equation:
x= 2y -----(1)
x +3y= 15 -----(2)
x= -3y +15
Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.
From (1): y= ½x
From (2): 3y= 15 -x
y= 5 -⅓x
From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.
x- coordinate: 6
y- coordinate: 3
Thus, Brianna played 6 games and went on 3 rides.
Since 
is representing the number of gallons of water in the tub, we need to replace with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for 
to find the time:
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>