Answer:
Yes
Step-by-step explanation:
The fraction 3/4 which is equal to 9/12 is larger than 2/3 which is equal to 8/12. The fraction with the larger numerator is the larger fraction if the denominators are the same.
Answer:
No real solutions
Step-by-step explanation:
Using the quadratic formula, you will end up with a square root of a negative number in the numerator. Hence there is no real solution.
see attached.
Answer: x= 3.8
Step-by-step explanation:
21.1 - 8.3 = 3.8
x= 3.8
Answer:
23 blocks
Step-by-step explanation:
Count the blocks
The back wall has 3 blocks by 5 blocks which is 15 blocks
The front cubs has 4 blocks by 2 blocks = 8 blocks
Add them together = 15+8 = 23 blocks
Answer:
- <u><em>P = 0.40x + 0.50y</em></u>
Explanation:
The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.
In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.
Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.
Then:
- using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and
- using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.
The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:
That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.
