Answer:
spanish yesss
Step-by-step explanation:
no inglish
George must run the last 1/2 mile at a speed of 2/3 mile per hour to arrive just as school begins today.
To find the speed George must run the last 1/2 mile in order to arrive just as school begins today, we can start by calculating the time it took for George to walk the first 1/2 mile at a speed of 2 miles per hour. We can use the formula Time = Distance / Speed to calculate the time: Time = (1/2) mile / 2 miles per hour = 1/4 hour = 15 minutes.
We know that George arrives just as school begins, so the total time it takes for him to walk 1 mile is the same as the total time it takes for him to walk the first 1/2 mile at 2 miles per hour, plus the time it takes for him to run the last 1/2 mile at a new speed. Therefore, the total time is 15 minutes + time to run the last 1/2 mile. We can set up the equation: (15 minutes) + (1/2 mile / speed) = 60 minutes (as 60 minutes is one hour). We can then solve for the speed by subtracting 15 minutes from both sides and rearranging the equation:
1/2 mile / speed = 45 minutes = 3/4 hour. Multiplying both sides of the equation by the speed:
(1/2 mile) = (3/4 hour) * speed
speed = (1/2 mile) / (3/4 hour) = (1/2 mile) * (4/3 hour) = (1/2)(4/3) = 2/3 mile per hour.
#SPJ12
Z - 2/3 = 1/8
The value of Z in the equation given is 19/24.
Given is an equation, Z - 2/3 = 1/8, we need to solve for Z,
To solve the equation Z - 2/3 = 1/8, follow these steps:
To clear the fraction, we can multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 24.
This step eliminates the fractions from the equation.
Multiplying each term by 24:
24(Z) - 24(2/3) = 24(1/8)
Simplifying:
24Z - 16 = 3
To isolate the variable Z, we need to get rid of the constant term (-16) by adding 16 to both sides of the equation.
24Z - 16 + 16 = 3 + 16
Simplifying:
24Z = 19
To solve for Z, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 24.
24Z/24 = 19/24
Simplifying:
Z = 19/24
Therefore, the solution to the equation Z - 2/3 = 1/8 is Z = 19/24.
Learn more about equation click;
#SPJ6
Answer: The referee was 29.125 yards from the nearest goal line.
Step-by-step explanation:
Since we have given that
Length of line = 100 yards
Let the x be the distance at the end of quarter nearest goal line .
According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.
So, it becomes,
Hence, the referee was 29.125 yards from the nearest goal line.