Answer:
10
Step-by-step explanation:
Rationalize the denominator by multiplying both the top and bottom by sqrt(5). you have sqrt(500) * sqrt(5) / sqrt(5)^2
simplifying we have 50/5 = 10
You are expected to know (-x)*(-x) = x^2 = (x)*(x) for any value of x.
With this in mind, you expect to be looking for squares in answer to your question. You will find them.
1) y² = 49 . . . . . . . 4th selection
2) y² = 16 . . . . . . . 3rd selection
-16.8 = m(4)
-16.8 / 4 = -4.2
So the constant rate is -4.2.
Hope this Helps!!
Answer:
c + 3d = 14.75
2c + 5d = 26
A box of candy is $4.25 and a drink is $3.50
Step-by-step explanation:
Let c represent the cost of a box of candy and let d represent the cost of a drink
c + 3d = 14.75
2c + 5d = 26
Solve by elimination by multiplying the top equation by -2
-2c - 6d = -29.5
2c + 5d = 26
Add them together
-d = -3.5
d = 3.5
Plug in 3.5 as d into one of the equations to solve for c
c + 3d = 14.75
c + 3(3.5) = 14.75
c + 10.5 = 14.75
c = 4.25
So, a box of candy is $4.25 and a drink is $3.50
If you are just simplifying it it would be 6x because it's 5x plus one more x but if you are trying to find x then I have no idea