Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The correct option is first option: x=t(y-4f)
Further explanation:
Given equation is:
In order to solve the equation for x, we have to isolate x on one side of the equation
Using Subtraction property of equality
Subtracting 4f from both sides
Multiplication property of equality
Multiplying both sides by t
Hence, the correct option is first option: x=t(y-4f)
Keywords: Linear equation, Equation solution
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Answer:
Eleven thousand five hundred and twenty
Step-by-step explanation:
E2021
Answer:
The least value of (r+s) is (12+14)=26
Step-by-step explanation:
Well, first let us solve equation of 11(s-1)=13(r-1), which results in 11s-11=13r-13. Hence, 11s+2=13r. It is stated that r and s both are integers and greater than 1.
To make sure that r and s are integers, the least value of s must be equal to 14 (s=14) then the least value of r becomes 12 (r=12).
Finally, the least value of (r+s) is (12+14)=26.
