Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you
Get everything on one side of the equals sign and set the quadratic equal to 0:
Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does ?
and
and 5 = 5. So 5 works. Let's try -8 now:
and
so
-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.
Answer:
50 gallons 20%
50 gallons 30%
Step-by-step explanation:
If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:
x + y = 100
0.20x + 0.30y = 0.25(100)
Solve the system of equations using substitution or elimination. Using substitution:
0.20x + 0.30(100 − x) = 0.25(100)
0.20x + 30 − 0.30x = 25
5 = 0.10x
x = 50
y = 50
The polyhedron has:
6 Faces, 8 vertices and 12 edges <u>in</u><u> </u><u>total</u><u>.</u>
But
3 Faces, 7 vertices and 7 edges <u>are</u><u> </u><u>visible</u><u>.</u>
Dana:
Starts with 25 = 25
Spends 10 = 25 - 10 = 15
Received 50 = 15 + 50 = 65
New tires cost 75 = 65 - 75 = -10
Tracey:
Starts with 50 = 50
Gets gas for 25 = 50 - 25 = 25
Received 100 = 25 + 125 = 125
Purchased boots for 150 = 125 - 150 = -25
Tracey ends up with the least amount of money after their purchases.
Hope this helps! :)