<h3>
Answer:</h3>
- <u>20</u> kg of 20%
- <u>80</u> kg of 60%
<h3>
Step-by-step explanation:</h3>
I like to use a little X diagram to work mixture problems like this. The constituent concentrations are on the left; the desired mix is in the middle, and the right legs of the X show the differences along the diagonal. These are the ratio numbers for the constituents. Reducing the ratio 32:8 gives 4:1, which totals 5 "ratio units". We need a total of 100 kg of alloy, so each "ratio unit" stands for 100 kg/5 = 20 kg of constituent.
That is, we need 80 kg of 60% alloy and 20 kg of 20% alloy for the product.
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<em>Using an equation</em>
If you want to write an equation for the amount of contributing alloy, it works best to let a variable represent the quantity of the highest-concentration contributor, the 60% alloy. Using x for the quantity of that (in kg), the amount of copper in the final alloy is ...
... 0.60x + 0.20(100 -x) = 0.52·100
... 0.40x = 32 . . . . . . . . . . .collect terms, subtract 20
... x = 32/0.40 = 80 . . . . . kg of 60% alloy
... (100 -80) = 20 . . . . . . . .kg of 20% alloy
Answer:
2x + 3y > 100
x + y = 40
Step-by-step explanation:
This is the answer because it shows the price of each and the combined products equaling more than 100 dollars, and the bottom one shows that the combined total of jewelry can not exceed 40 pieces.
Answer:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Step-by-step explanation:
Hourly rate earned=total earnings/hours worked
Nina:
Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69 ($177.60/14)
Ty:
Ty earned $148.50 for 18 hours period of work,thus earned $8.25 ($148.50/18)
Kim earned $137.60 for 16 hours duration of work,invariably Kim earned $8.60 ($137.60/16)
From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour
Answer:
35% of the cupcakes were Mocha.
Step-by-step explanation:
So, 28 + 52 = 80 which means the question is: 28 is what percent % of 80? And 28 is 35% of 80. Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Remwmber to focus on the positive and give me a follow! ;) Bye!
