Answer:
46 1/2 miles
Step-by-step explanation:
Given that:
Bus traveled at a constant speed ;
Miles traveled = 15 1/2 miles
Time taken for the travel = 1/3 of an hour
Number of miles bus will travel in 1 hours :
Let number of miles traveled in 1 hour = n
15 1/2 miles = 1/3 hour
n miles = 1 hour
Cross multiply :
1/3 * n = 15 1/2 * 1
1/3n = 31/2
Divide both sides by 1/3
n = 31/2 ÷ 1/3
n = 31/2 * 3/ 1
n = 93/2
n = 46.5 miles = 46 1/2 miles
(4 1/2)/(2 2/3) = (9/2)/(8/3)
.. = (9/2)*(3/8) . . . . . . . . . . . . . . the 3rd selection
_____
A mixed number is converted to an improper fraction by
.. a +b/c = (ac +b)/c
Of course, dividing by a fraction is the same as multiplying by its inverse.
.. (a/b) / (c/d) = (a/b) * (d/c)
Given that:
Miles traveled the fastball in 2 seconds = 60.5 ft
So, the ball traveled in one second
The ball travels 30.25 miles per second.
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
∠b = 75° [Vertical angles]
If the lines f and g are parallel then,
∠b = ∠c [Corresponding angles]
Therefore, ∠c = 75°
Since m∠c + m∠d = 180° [Supplementary angles]
75° + m∠d = 180°
m∠d = 180° - 75°
m∠d = 105°
Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.
Option (4) will be the answer.
