Answer: k/2 - 3/5
Step-by-step explanation: This is what my calculator came up with.
I’m pretty sure it’s the last one (x-7, y+5)
bc if you input (2,3) 2-7, 3+5 it gives you the output -5,8
Lets say y is number of adult tickets and x is number of student tickets
x+y=348
2x+y=348
(2x since I know that the student tickets are twice as much as adult tickets)
I now know that that student tickets make up 2/3 of the total number of tickets and 1/3 make up the number of adults tickets. So...
1/3 x 348= 116 adult tickets
2/3 x 348=232 student tickets
Answer:
x=3 and y=2
Step-by-step explanation:
These equations line up quite nicely, so let's use the elimination method.
x+y=5
+ x-y=1
-------------
2x=6.
Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides
x=3.
Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.
3+y=5.
We subtract 3 from both sides to get y=2.
We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.
Have a nice day :)
<h3>
Answer:</h3>
- 32 kg of 30% copper
- 48 kg of 55% copper
<h3>
Step-by-step explanation:</h3>
Let x represent the mass of 55% copper alloy that is to be used in the mix. Then 80-x is the mass of 30% copper alloy to be used. The total amount of copper in the mix is then ...
... 0.55x + 0.30(80-x) = 0.45·80
... 0.25x = 12 . . . . . . simplify, subtract 24
... x = 48 . . . . . . . . . divide by the coefficient of x
... 80-x = 32 . . . . . . the mass of 30% copper alloy required
The metalworker should combine 32 kg of 30% copper alloy with 48 kg of 55% copper alloy to make 80 kg of 45% copper alloy.
