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Substitute 9 into each equation to determine if 9 is the solution. Drag each equation into the correct column.
1 answer:
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Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs gallon of gas to mow first yard.
Julia needs gallon of gas to mow second yard.
Julia has a total of gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒
Taking LCD =80.
⇒
⇒
Adding the numerators.
⇒
⇒ 1.2125 gallons
Julia has gallon = 1.5 gallons of gas in in her can.
Since , thus we can say that Julia has enough gas to mow the two yards.
Answer:
The quantity of salt at time t is , where t is measured in minutes.
Step-by-step explanation:
The law of mass conservation for control volume indicates that:
Where mass flow is the product of salt concentration and water volume flow.
The model of the tank according to the statement is:
Where:
- The salt concentration in the tank, as well at the exit of the tank, measured in
.
- Concentration rate of change in the tank, measured in
.
- Volume of the tank, measured in gallons.
The following first-order linear non-homogeneous differential equation is found:
This equation is solved as follows:
The initial concentration in the tank is:
Now, the integration constant is:
The solution of the differential equation is:
Now, the quantity of salt at time t is:
Where t is measured in minutes.