Answer:
-40
Step-by-step explanation:
-40 divided by 5 is -8
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.
Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
Answer:
Coefficients: 8
Constants: 2
Variables: m and n
Step-by-step explanation:
Sarah had made no errors-
A number on its own is called a Constant.
A coefficient is a number used to multiply a variable.
We know that
1 ft-----------> 0.3048 m
then
1 ft²---------> (0.3048)²------> 0.092903 m²
so
121 ft²----------> 121*0.092903----------> 11.24 m²
the answer is
11.24 m²