Answer:
3/2 miles per hour
Step-by-step explanation:
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?
Given data
distance= 1/2 miles
time= 1/3 hour
Speed= distance/time
Substitute
Speed= 1/2/1/3
Speed= 1/2*3/1
Speed= 3/2 miles per hour
F the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!
the angular speed is theta/time, which means
w=theta/time
but another formula for it is Velocity*radians
w=velocity*radians
velocity is 180 mph and radians are (revolution/2 radius), that is:
w=180*(1/2*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
Answer: Choice A
Note: the range should be 
. See explanation below.
===================================================
We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say 
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that 
and that translates to the interval notation .
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote 
for choice A, when they should have written
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Answer: Rounded: 236 seconds
Not rounded: 236.07 seconds
Step-by-step explanation: We know that it takes the car 54.9 seconds to travel one mile, and we know that 1 times 4.3 is 4.3, so 4.3 times 54.9 equals 236.07 seconds.
------------------------------------
Find 10 reams
------------------------------------
1 ream = 32 ounces
10 reams = 32 x 10
10 reams = 320 ounces
------------------------------------
Convert ounce to pound:
------------------------------------
1 ounce = 0.0625
10 ounces = 0.0625 x 10
10 ounces = 0.625 pounds
------------------------------------------------------------------------
Answer: Each case weighs 0.625 pound.
------------------------------------------------------------------------
