Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 34 times first equation from second equation,

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
ask for her username
Step-by-step explanation:
Let volume of 4% solution = x and of 14% be y
them x + y = 65........(1) also using the actual weights of salt:-
0.04x + 0.14y = 65*0.06 = 3.9
multiplying the above equation by -25 we have
-x - 3.5y = -97.5 adding this to equation (1)
--2.5y = -32.5
y= 13
and x = 65 - 13 = 52
so we need 13 mls of the 14%, and 52 mls of the 4% solution.
Question:
You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?
Answer: 4 miles
Step-by-step explanation:
Let distance between start to first checkpoint = x
First checkpoint to second checkpoint = 2/5 of x
Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)
Distance of start to checkpoint 2 = (1/4 of start to finish)
If start to checkpoint 2 = 1/4 of start to finish
Then,
Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)
Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish
Entire race = 40 miles = distance from start to finish
1/ 10 of 40
= ( 1/10) × 40
= 4 miles