Answer:
The population changed by 20% in 3 years
Step-by-step explanation:
The percentage change, is given by the following equation;
The given parameters are;
The initial population of the town = 35,000
The final population of the town = 42,000
The percentage change in the population is therefore;
The population changed (increase) by 20% in 3 years.
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:
SAS means "Side, Angle, Side"
ASA means "Angle , Side, Angle"
AAS means "Angle, Angle, Side"
HL stangs for "Hypotenuse, Length"
Step-by-step explanation:
SAS is when we have two sides meeting and forming an angle between them.
ASA is when we know two angles and a side between the angles.
AAS is when we know two angles and a side which is not between the angles.
HL means that: two triangles are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and if one leg of a triangle is equal to a leg of another triangle.
*Note: The pictures are attached here below.
