Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
Given the function f(x) = (x + 1)^2 - 3, we recognize that because of the x^2 factor we have a parabola that opens up. Its vertex is (-1, -3), which I have swiped from the given equation. The axis of symm is x= -1.
Answer:
A=4
Step-by-step explanation:
Mariya was solving:
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
At this point, we can know that 4*x2=4x2 and 4*5x=20x, son A=4
If 5 bags of pretzels cost $10, then the pretzels are $2 per bag.
Answer:
5/6
Step-by-step explanation:
To add fraction, find LCD and then combined