Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.
x + x + 1 = 67
2x + 1 = 67
Answer is option B.
Answer:
n is -32
Step-by-step explanation:

To check how much Tim will pay to refill the gas tank using one of the on-site pumps, we can create a linear model. We know from our problem that the Renter's charge $4.50 per gallon plus a $5.00 refueling, so let

be the number of gallons and

the total cost.
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>



Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let

be the number of gallons and

the total cost. We know form our problem that <span>refueling the car on his own will cost $2.59 per gallon and the late fee charge is $32.
</span>

<span>We already know that half tank is 6 gallons, so
</span>



<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>
b. It would be cheaper to return the car on time and pay the refueling costs.</span>
Answer:
see below
Step-by-step explanation:
0 = x^2 + 6x – 10
Add 10 to each side
10 = x^2-6x
Take the coefficient of x
-6
Divide by 2
-6/2 =-3
Square it
(-3)^2 =9
Add 9 to each side
10+9 = x^2-6x+9
We use -3 for the square term
19 = (x-3)^2
Take the square root of each side
±sqrt(19) = x-3
Add 3 to each side
3±sqrt(19) = x
Answer:
36.36 (Repeating bar over the decimal .36)
Step-by-step explanation: