1/2 IS the same as 0.5. Ratio is fairly easy. an example is 5/6. The ratio would be 5:6. Therefore 1/2 in ratio would be 1:2
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
Sale price = $60
Discount = 20%
Regular price = $60/0.8 = $75
Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
Equivalent expressions are expressions of equal values
The simplified expression of (3 - 4i) + (7 - 6i) is 
The expression is given as:
Remove brackets in the above expression
Rewrite the expression by collecting the like terms
Next, evaluate the like terms
Hence, the simplified expression of (3 - 4i) + (7 - 6i) is
Read more about equivalent expressions at:
brainly.com/question/2972832
