Answer:
Pythagorian theorem:
7^2=13+b^2 -> b^2=49-13=36
The square root of 36 is obviously 6.
So, the other leg has a length of 6 inches
Step-by-step explanation:
Answer:
A factor of 3x^3-9x^2+3x is 1
Step-by-step explanation:
The factor of 3 are:
1,3
The factor of 9 are:
1,9,3
The factor of 2 are:
1,2
Hope this help and have a great day
Profit because 364.43>157.25 since revenue (income) is greater than money spent she made a profit
Answer:
None of these choices are correct.
Step-by-step explanation:
The quoted value of 99.875, means that this bond is sold at 99.875% of the face value and not at a price of $99.875.
Therefore, calculate price;
Price = 0.99875 * 1000
Price = $998.75
Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;
Brokerage fees = (0.055*998.75) = $54.93
Total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the choices is correct.
Answer:
- 273 mL of 5%
- 117 mL of 15%
Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
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<em>Additional comment</em>
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
