Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
Answers
Final answer:
Considering a gas tank's full capacity of 14.5 gallons, after using 1.5 gallons, subtract this from the initial amount to find how much gasoline remains. This leaves us with an inequality 0 ≤ G ≤ 13, where G represents the gasoline left in the tank.
Explanation:
The subject of this question is the calculation of quantities in everyday life, specifically in regards to gasoline use for a car. We start with an initial total fuel capacity of 14.5 gallons. We then subtract the amount of fuel used for a trip to the grocery store, which is 1.5 gallons. This subtraction operation shows how much gasoline remains in the tank.
Step-by-step, the solution could be described like this:
- Establish the maximum capacity of the gas tank, which is given as 14.5 gallons.
- Account for the fuel used on the trip, in this case, 1.5 gallons.
- Subtract the used fuel from the tank's capacity. This would be 14.5 gallons - 1.5 gallons = 13 gallons.
Therefore the inequality representing the amount of gasoline left in the gas tank is 0 ≤ G ≤ 13, where G is the amount of gasoline left in the tank.
Learn more about Inequality here:
#SPJ12
Related Questions
I need help answering this
Can anyone please help with this question
3x+2 = 6x-13 what is x
Why is 6/6 equivalent to 6
Answers
X - Intercept: f(x) = x³ - 18x² + 107x - 210
0 = x³ - 18x³ + 107x - 210
0 = x³ - 7x² - 11x² + 77x + 30x - 210
0 = x²(x) - x²(7) - 11x(x) + 11x(7) + 30(x) - 30(7)
0 = x²(x - 7) - 11x(x - 7) + 30(x - 7)
0 = (x² - 11x + 30)(x - 7)
0 = (x² - 6x - 5x + 30)(x - 7)
0 = (x(x) - x(6) - 5(x) + 5(6))(x - 7)
0 = (x(x - 6) - 5(x - 6))(x - 7)
0 = (x - 5)(x - 6)(x - 7)
0 = x - 5 or 0 = x - 6 or 0 = x - 7
+ 5 + 5 + 6 + 6 + 7 + 7
5 = x or 6 = x or 7 = x
Solution Set: {5, 6, 7}
Y - Intercept: f(x) = x³ - 18x² + 107x - 210
f(x) = (0)³ - 18(0)² + 108(0) - 210)
f(x) = 0 - 18(0) + 0 - 210
f(x) = 0 - 0 - 210
f(x) = 0 - 210
f(x) = -210
Shape of the Graph: Odd Degree Polynomials With a Positive Leading Coefficient
Answer:
X - Intercept: f(x) = x³ - 18x² + 107x - 210
0 = x³ - 18x³ + 107x - 210
0 = x³ - 7x² - 11x² + 77x + 30x - 210
0 = x²(x) - x²(7) - 11x(x) + 11x(7) + 30(x) - 30(7)
0 = x²(x - 7) - 11x(x - 7) + 30(x - 7)
0 = (x² - 11x + 30)(x - 7)
0 = (x² - 6x - 5x + 30)(x - 7)
0 = (x(x) - x(6) - 5(x) + 5(6))(x - 7)
0 = (x(x - 6) - 5(x - 6))(x - 7)
0 = (x - 5)(x - 6)(x - 7)
0 = x - 5 or 0 = x - 6 or 0 = x - 7
+ 5 + 5 + 6 + 6 + 7 + 7
5 = x or 6 = x or 7 = x
Solution Set: {5, 6, 7}
Y - Intercept: f(x) = x³ - 18x² + 107x - 210
f(x) = (0)³ - 18(0)² + 108(0) - 210)
f(x) = 0 - 18(0) + 0 - 210
f(x) = 0 - 0 - 210
f(x) = 0 - 210
f(x) = -210
Answers
3/9 gallons = 1 hour
3 gallons = 9 hours
1 gallon = 9/3 hours
Therefore, It will use 1/3 gallons of water each hour and will use 1 gallon in 3 hours
Answer:
First find out the how many gallons of water does it use each hour .
To prove
As given
An ice machine uses 3 gallons of water every 9 hours.
3 gallons of water = 9 hours
Water uses by ice machine in one hours = 0.33 gallons (Approx)
Now find out how many hours does it take to use one gallon .
As given
An ice machine uses 3 gallons of water every 9 hours.
3 gallons of water = 9 hours
Hours take by ice machine to use one gallons of water = 3 hours.
Answers
hope this helps!:)
Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?
Who?:
How much more?:
Answers
Answer:
Taylor will charge more by $15
Step-by-step explanation:
Given
Taylor
First Hour = $15
Hourly Rate = $10
Lucy:
For a dog walk of 2.5 hours.
Taylor's charges is:
Lucy's charges is:
Here, we consider
Because
i.e 2.5 > 2
So, Lucy's charges is:
By comparison;
Taylor will charge more by $15
The difference is calculated by:
Answers
Answer:
14 and 15
Step-by-step explanation:
14.6628782986, this is the square root.
Final answer:
The square root of 215 lies between the whole numbers 14 and 15 since 215 falls between the squares of these two numbers (196 and 225).
Explanation:
To find out which two whole numbers the square root of 215 lies between, we need to find the squares of consecutive whole numbers until we identify the two between which 215 falls. The square of 14 is 196 and the square of 15 is 225. Therefore, since 215 is between 196 and 225, the square root of 215 lies between 14 and 15.
Learn more about Square Root here:
#SPJ2
Answers
2^2 = 4
4x + 12x = 66
16x = 66
x = 4.125
Subtract 66 from both sides
2x^2+12x -66 = 66-66
2x^2+12x-66= 0
Use quadratic formula with a=2, b=12 , c= -66
x= −b±√b2−4ac2a
x=−(12)±√(12)2−4(2)(−66)2(2)x=−12±√6724x=−3+√42 or x=−3−√42Answer:x=−3+√42 or x=−3−√42I hope that's help !