Answer:
10 minutes
Step-by-step explanation:
Let's use the variable x for the amount of coins.
The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.
The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.
If we sum the speeds, we have that the speed will be:
speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10
The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.
Hehe, I thought I'd get this one wrong, but x=10. Remember, that a straight angle must add up to 180 degrees. So I added all the angles; (3x+94)+(x+36)+(2x-4)=180. I took away the parentheses having 3x+94+x+36+2x-4=180. Remember from Algebra 1, to simplify terms, we add the polynomials. 94+36-4=126. 3x+x+2x= 6x. Our simplified equation is 120+6x=180. Now we can answer. 180-120=60. 60=6x. So therefore, for all x, x equals 10.
It would be 6 because the other short side is 6 so it should be 6 units
Answer:
No solutions
Step-by-step explanation:
6x+2y=20
-3x-y=-4 (by rewriting)
So
6/-3 = 2/-1≠20/-4
-2=-2≠-5
So it has no solutions
