11/56 inches or 0.196 inches must be removed.
The pipe measures 4/7 inches but needs to be reduced to 3/8 inches.
In order to find out the inches to be removed, you must subtract the length that the pipe should be from the length that it currently is.
<em>Length to be removed = 4/7 - 3/8</em>
You need a common denominator so find the lowest common factor of both denominators:
= 56
In the shared fraction, multiply the numerator by the number you get when you divide 56 by the denominator.
= 56/7 = 8 8 x 4 = 32
= 56 / 8 = 7 7 x 3 = 21
= (32 - 21) / 56
= 11 / 56 inches
= 0.196 inches
In conclusion, 11/56 inches must be removed to get the pipe to 3/8 inches
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Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).
We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24
2x = 18
x = 9
That means that Sagan is 9, and Orion is 9+6 or 15.
80 feet How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)
Answer:
x = 4/5
Step-by-step explanation:
The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:
(4/5)x + (1/3)(0) =1
Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).
Thus, x = 4/5, and the x-intercept is (4/5, 0).