Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
So slope intercept form is y=mx+b m is the slope and b is the y intercept. The equation of this line would be y=1/4x+2 because the rise over run (slope) is 2/8 or 1/4 and the line intercepts the y axis at 2.
answer key
78.4
Step-by-step explanation:
Multiply 7 x 4 =28
Then Multiply 28 x 2.8 = 78.4
<em>That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞ hope that helps out</em>
Answer:
First, 3 people divide $30, then each one of them pays:
$30/3 = $10.
Each one of them gets $1 in refound.
Then at the moment, each one of them paid $9, and there are 3 friends, so the total amount is 3*$9 = $27.
We also know that the cashier keeps $2, but these $2 must come from the $27 that the friends paid.
Then we will have $27 = $25 + $2.
This means that the total cost was $25, and the cashier kept $2 as a tip.
Now, in your problem, you add the $2 that the cashier kept to the $27 that the friends paid. While those $2 actually are already counted in the $27 that the friends paid.
Answer:
x = 7 x = -6
Step-by-step explanation:
x^2−x−42=0
Factor
What two numbers multiply to -42 and add to -1
-7*6 = -42
-7+6 = -1
(x-7) (x+6) =0
Using the zero product property
x-7 =0 x+6 =0
x = 7 x = -6
