Let the speed at which John is going towards Leakey = x mph
Time taken to reach Leakey = 4 hours
Distance = speed * time
So let the distance of Leakey from John's house be 4x ............. (1)
Speed while returning was 20 mph less = (x-20)
Time taken was= 7 hours
distance = (x-20)*7 ................(2)
As the distance remains the same, equation 1 = equation 2
So, the speed is mph
Distance = 4x
=
Hence, the distance of Leakey from John's house is 186.667 miles.
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.
Let a/b and c/d represent two rational numbers. This means a, b, c,and d are INTEGERS , and b and d are not 0. The product of the numbers is ac/bd , where bd is not 0. Both ac and bd are INTEGERS , and bd is not 0. Because ac/bd is the ratio of two INTEGERS, the product is a rational number.