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Answer:
The correct number of servings = 6.
By saying there were servings of soup, Hector must have intended to say that there were
quarts of soup for serving.
Step-by-step explanation:
Given:
Total quarts of soup made by students =
Fraction of the soup served to friends =
Each serving = quarts
Hector incorrectly says that that there were servings of soup.
To find the correct number of servings and to identify Hector's mistake.
Solution:
Total quarts of soup made =
Fraction of total quarts served =
Thus, total quarts of soup served =
⇒
Thus, total quarts of soup for serving = or
Each serving = quarts
Total number of servings can be given as:
⇒
⇒
To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.
⇒
⇒
⇒ 6 servings
Thus, the correct number of servings = 6.
By saying there were servings of soup, Hector must have intended to say that there were
quarts of soup for serving.
Answer:
The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Step-by-step explanation:
Given the equation
-----------Equation 1
where d, in inches of the pendulum of a grandfather clock from the center.
Comparing with the standard equation of an oscillating pendulum bob.
----------Equation 2
where ω = angular velocity
t = time taken
α = The angular displacement when t = 0
Comparing equation 1 and 2,
α = 0
Recall that [/tex]
f = 0.8 Hertz
Recall that
T = 1.25 seconds
Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.