Answer:
The initial distance between Wade and Alexandra is 240ft.
They walk towards each other.
Alexandra walks twice as fast as Wade.
Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.
Then:
if Wade walks z ft, Alexandra walks 2*z ft.
So we have the equation:
Distance that Wade walked + Distance that Alexandra walked = 240ft
z + 2*z = 240ft
3*z = 240ft
z = 240ft/3 = 80ft
They will meet when Wade walks 80ft.
Answer:
3.66meters long
Step-by-step explanation:
since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long
Explanation:
We usually use graphs to solve two linear equations in two unknowns.
The basic idea is that a graph of an equation is the pictorial representation of all of the points that satisfy the equation. So, where the graph of one equation crosses the graph of another, the point where they cross will satisfy both equations.
Finding a solution means finding values of the variables that satisfy all of the equations. Hence, the point of intersection is the solution of the equations.
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To solve linear equations by graphing, graph each of the equations. Then find the coordinates of the point where the lines intersect. Those coordinates are the solution to the equations.
If the solution is not at a grid point on the graph, determining its exact value may not be easy. This can often be aided by a graphing calculator, which can often tell you the point of intersection to calculator accuracy.
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If the lines don't intersect, there are no solutions. If they are the same line (intersect everywhere), then there are an infinite number of solutions.
Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
