Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.
9514 1404 393
Answer:
C. none of these
Step-by-step explanation:
The given information tells us ΔACD is isosceles, but gives no information about any lines that might conceivably be parallel.
Answer:
The fastest runner is Katie
Step-by-step explanation:
In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.
Katie
14 feet/1 second = 14 ft per second
Zach
576 feet/46 seconds = 12.52 ft per second
Tony
1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second
Will
827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.
So we know that the fastest is Katie.
Answer
I) A job pays $15/hr with no bonus first day pay.
II) A job pays $15/hr with a $20 bonus first day pay.
Step-by-step explanation:
The y-intercepts would represent additional income that is added on to the base wage. It means it is what the worker would already earn (one-time), adding on to their standard pay.
Let X represent hours, and the y-intercept be what is mentioned above.
I) 15x + 0
II) 15x + 20