Answer:
Jacob is dividing 6 aquariums into 1/8 of an aquarium sections for his different animals. How many 1/8's are there in Jacobs aquariums?
To get the number of 1/8 in Jacobs aquariums,we simply divide 6 by 1/8
6 ÷ 1/8
But whenever you are dividing by a fraction, you can simply change the division to multiplication in order to make your work easier, all you need to do to change the division to multiplication is to simply turn the number over, that is; the denominator becomes the numerator and the numerator becomes the denominator,
In this case 8 becomes the numerator and 1 becomes the denominator
Hence;
6 × 8 /1 = 6 × 8 = 48
Therefore, the number of 1/8's in Jacobs aquariums are 48
Hope this helps, have a great day/night, and stay safe!
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.
Input y=2x-5 into 3x -4y
3x - 4(2x-5)
= 3x -8x +20
Answer:
Part 1: 30.35 runners
Part 2: 2024
Step-by-step explanation:
We will need to find an equation that best fits this data
- The equation of best fit for this data is y = 2.16x - 4291.81
Now in order to figure our part 1, we will need to plug in 2001 for our x value to solve for y and we get:
- y = 2.16(2001) - 4291.81 which then simplifies to y = 30.35
Then to figure out part 2, we need to plug in 80 (NOT 80,000 because the y-values are in thousands, meaning we only need to use the number 80) for our y-value and solve for x and we get:
- 80 = 2.16x - 4291.81
- Adding 4291.81 to both sides we get: 4371.81 = 2.16x
- Then dividing both side by 2.16 we get 2023.98 = x ≈2024
Answer:
it is 2:1 that's the smallest one you got
