<h3>Answer: x = 5</h3>
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Work Shown:
Angle Bisector Theorem
9/(2x-1) = 15/3x
9*3x = 15(2x-1) ... cross multiply
27x = 30x-15
27-30x = 30x-15-30x ... subtract 30x from both sides
-3x = -15
-3x/(-3) = -15/(-3) .... divide both sides by -3
x = 5
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
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
Answer:
6 bags of baseball cards
Step-by-step explanation: