Answer:
3:36PM
Step-by-step explanation:
Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.
Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at 
capacity, we can use the equation:
This shows of his tank's capacity (
) is equal to 
gallons. This means he will stop for gas when gallons are remaining.
Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.
This is a simple proportion, and now we know he uses 
gallons of gas per hour.
Now we can how many hours of gas Leon has left.
He has 
gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.
The 
is because Leon doesn't stop when his tank is empty, he stops gallons earlier. We are dividing by because that is how much gas he uses per hour, meaning the result of this division (
) is how many hours he has left.
Now we can solve for what time Leon will stop to get gas.
12PM + 
hours of driving + the remaining hours = 3:36PM
( hours is equal to 1 hour and 36 minutes)
Therefore, Leon will stop for gas at 3:36PM
Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :
⇒ 2 no. of people work for four hours per shift .
Since it's a Trapezoid with its non - parallel sides equal to one another,
[ By forming co - interior angle pair ]
Now, similarly,
Similarly,
