18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Answer:
6 mph
Step-by-step explanation:
Speed = Distance/Time. Distance is 18, time is 3. So 18/3, or 6.
Hope this helps!
Answer:
$598.12.
Step-by-step explanation:
First you need to make the percent into a decimal and multiply it by the price without tax: 0.0975 · 544.98, which equals 53.136 when rounded to the nearest thousandth. This means that 53.136 is 9.75% of 544.98. Then you just need to add 53.136, or 53.14 when rounded, to 544.98. This gives you $598.12.
Answer:
Therefore, the budget is 656.76$.
Step-by-step explanation:
We know that a lab orders a shipment of 100 rats a week for experiments that the lab conducts. Suppose the mean cost of the rats turned out to be $ 12.63 per week. We calculate budget of a lab for the next year's.
We know that 1 year have 52 weeks. We get
52 · 12.63 = 656.76
Therefore, the budget is 656.76$.
Answer:
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