The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x
Each round trip = 3 km
x = number of rounds
y = number of km he has walked in all.
1 rounds = 3 km
Therefore,
x rounds = 3x km
Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.
The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below
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Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
283.5
Step-by-step explanation:
A=πr^2
A=π(9.5^2)
A=π(90.25)
π x 90.25=283.5 (rounded to the nearest tenth)
The differnce of 2 perfect cubes
remember
a³-b³=(a-b)(a²+ab+b²)
so
Volume of the carton = 1000 cubic inches. Dimensions of a carton are 10"×10"×10"
