Perform the indicated operation. 1/5+3/5 HURRY ITS DUE IN 5 MINUTES!!!
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Let x be the number of hours.
We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.
To graph the amount of liquid first of all we will find the equation of line for our given situation.
Since we know that equation of a line in slope-intercept form is: , where, m = slope and b = y-intercept or initial value.
As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.
As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.
Upon substituting our given values in slope-intercept form of equation we will get,
Let us find x-intercept by substituting y=0 in our equation.
Now we will draw a line connecting our y-intercept and x-intercept from (0,18) to (4.5,0).
Please find the attachment for the graph of the given line.
Answer:
Step-by-step explanation:
Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.
1. In the first part of the trip the amount of gasoline the car used can be expressed as:
2. After the first part of the trip, the remaining was:
3. In the second part of the trip the car used of the remaining. This is:
4. The total amount ot gasoline used in this trip was 20 liters.
5. Then, with this information, you can write the following equation:
6. Finally, you must solve for "x" in order to find its value. This is: