Question 1: this is simple adding
do the fractions first 1/4 + 3/4 = 4/4 or 1
then the whole numbers 1+1+1=3 gallons
Question 2: do it the same as the first you can make 1 1/2 into a mixed number which is 3/2 and make 4 into 8/2 then subtract 8/2 - 5/2= 3/2 or 1 1/2
Question 3: make into mixed numbers 5/3+5/3= 10/3 or 3 1/3
Answer:
$50.31
Step-by-step explanation:
9x5.59=50.31
An easy way to do it is take out the decimals and multiply. Then add the decimals by seeing how many places in 5.59 (2) and move the decimal 2 times on your answer.
Answer:
30
Step-by-step explanation:
6*5=30 5 and 6 are products
Answer:
operator
Step-by-step explanation:
Operator is represented as any symbol that indicates an operation to be performed.
Examples:
- Square root of√x, which indicates the square root is to be taken
- d/dx, which indicates differentiation with respect to x is to be performed
Answer:
and 
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, 
, of the larger gear can be calculated as follows:
to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
That gives
Which gives:
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
where v stands for linear velocity and 
for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
To get the angular velocity of the smaller gear, we use
where 
is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
