Multiply. Express your answer as a simple fraction or improper fraction. 3 times 3 over 5 equals n. plz help fast!
1 answer:
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Answer:
Therefore after 3 years the height of these tree will be same.
Step-by-step explanation:
Given that,
Type A is 2 feet tall and grows at a rate of 17 inches.
Type B is 10 feet tall and is growing at a rate of 5 inches.
1 feet = 12 inches,
2 feet= (12×2) inches = 24 inches
5 feet= (12×5) inches = 60 inches
Let after t years, the height of these tree will be same.
After t years, the height of type A is =(24+17t)
After t years, the height of type B is =(60+5t)
According to the problem,
24+17t=60+5t
⇒17t-5t=60-24
⇒12t = 36
⇒t =
⇒t=3
Therefore after 3 years the height of these tree will be same.
The given equations are
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
Putting the value of y=3 in equation (i), we have
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
Putting the value of x=4 in equation (i), we have
.
Hence, the required solution is (4,3).
