You wanna
divide 85 and 52
because he can run 20 KM in 85 min
and he wants to see how long it takes him to run 52 KM
So the first one is correct
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
ANSWER
The value of the expression is

EXPLANATION
Method 1: Rewrite as product of

The expression given to us is,

We use the fact that

to simplify the above expression.

This implies,

We substitute to obtain,


Method 2: Use indices to solve.

This implies that,


Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
= 
1024 + 676 = 
1700 = 
The square root of 1700 is (rounded to the hundreth's place) = 41.23