x = amount of 21% alloy
y = amount of 50% alloy
The metallurgist wants a combination weighing a total of 44 lb, so
x + y = 44
Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So
0.21x + 0.5y = 16.28
From the first equation,
x + y = 44 ==> y = 44 - x
Substitute this into the second equation and solve for x:
0.21x + 0.5(44 - x) = 16.28
-0.29x = -5.72 ==> x = 19.72
Substitute this into the first equation to solve for y:
19.72 + y = 44 ==> y = 24.28
Answer:
391
Step-by-step explanation:
(23 x 10) + (23 x 7) =
230 + 161 =
391
Hope this helps! Please mark as brainliest.
$12.75 divided by 15 pens = $0.85 per pen
$17.40 divided by 20 pens = $0.87 per pen
the first store has the lower price for pens. when you calculate the price of one singular pen, the first store sells them for $0.85 however the second store sells them for $0.02 more ($0.87)
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let assume that X and Y reflect the diameters of onions by companies A and B.
As a result, onions through company A are chosen and they're more likely to be accepted.
Price of movie ticket in Japan is x=7.362$
Price of movie ticket in Switzerland is y=13.652$
Step-by-step explanation:
Let, Price of movie ticket in Japan is x
Price of movie ticket in Switzerland is y
Statement 1 : Total of 79.39$ of three movie ticket in Japan and two movie ticket in Switzerland
We write, 3x+2y=79.39 ( Equation 1 )
Statement 1 : Total of 75.68$ of two movie ticket in Japan and three movie ticket in Switzerland
We write, 2x+3y=75.68 ( Equation 2 )
Solving by method of elimination
Multiplying equation 1 by 2, we get
6x+4y=158.78
Multiplying equation 2 by 3, we get
6x+9y=227.04
Subtracting both the linear equation,
6x+4y=158.78
- 6x+9y=227.04
_______________
0x-5y=(158.78-227.04)
-5y=(-68.26)
5y=68.26
y=13.652$
Replacing value of y in any equation
3x+2y=79.39
3x+2(13.652 )=79.39
x=17.362$
Thus,
Price of movie ticket in Japan is x=7.362$
Price of movie ticket in Switzerland is y=13.652$
