Answer:
<h3> 0.125 galon of 35% acid solution</h3>
Step-by-step explanation:
0.5 gallon of a 10% acid solution
10%•0.5 = 0.05 gallon of acid in that solution
x gallon of 35% acid solution
35%•x = 0.35x gallons of acid in that solution
0.05 + 0.35x total of gallons of acid in both solutions
(0.5+x) gallons of 15% acid solution
15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution
the amount of gallons of acid didn't change after mixing, so:
0.05 + 0.35x = 0.15(0.5 + x)
0.05 + 0.35x = 0.075 + 0.15x
0.35x - 0.15x = 0.075 - 0.05
0.2x = 0.025
×5 ×5
x = 0.125
Answer:
294 cars.
Step-by-step explanation:
Let x be the number of cars and y be the number of trucks.
We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.
Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

We can see that total number of cars sold on two dealerships will be
.
We will use substitution method to solve for x. From equation (1) we will get,

Substituting this value in equation (2) we will get,

Now let us have a common denominator.


Upon multiplying both sides of our equation by 2 we will get,





Therefore, the total number of cars sold by two dealerships is 294.
Answer: B
The number 3 isn't included because the point isn't included.
The arrow points to the left, representing any number less than 3 to be a solution.
Inequality: x < 3