Let x equal the kind of candy that costs $1.50 a pound
Let y equal the kind of candy that costs $1.35 a pound
We're going to need to make a system of equations, or two equations with the same variables.
x + y = 10
1.5x + 1.35y =14.55
Now, we're going to take the first equation and isolate a variable
x = 10-y
Next, we replace the x in the second equation with our new expression for x
1.5(10-y) + 1.35y = 14.55
Solve for Y
15 - 1.5y +1.35y = 14.55
15 - 0.15y = 14.55
-0.15y = -0.45
y=3
Then, take the y value and plug it into either equation. We're going to use the first one because it's easier.
x + y = 10
x + 3 = 10
x = 7
Finally, plug your two numbers into the second equation to check.
1.5x + 1.35y =14.55
1.5(7) + 1.35(3) = 14.55
10.50 + 4.05 = 14.55
14.55 = 14.55
By their increase and decrease
Answer:
Negative time a negative equals a positive!
Step-by-step explanation:
When you multiply two negative numbers or two positive numbers then the product is always positive. The same also goes for dividing negative integers.
It will take Lauren 1.25 seconds to hit the water.
With the given information, we can write the following quadratic equation.

Now, just use the quadratic formula to solve the equation.
You will get 1.25 and -0.75 as the zeros of the equation (where Laruen hits the water).
Only 1.25 makes sense in the context of this problem.