Answer:
x=-5
Step-by-step explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5
Answer:
You will need 220 mL of the 60% solution and 80 mL of pure alcohol.
Step-by-step explanation:
Let 'x' be the amount of 50% alcohol solution and y the amount of pure alcohol.
Therefore:
(0.5x + y)/300 = 0.65 ⇒ 0.5x + y = 190
x + y = 300
Solving the sistem of equations:
x = 220 and y = 080
Therefore, You will need
220 mL of the 60% solution
and 80 mL of pure alcohol.
Answer:
The answer is D.
Step-by-step explanation:
Hope this helps!
Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
YZ/sin30=50/sin90
YZ=50sin30 (sin90=1 :P)
YZ=25m
Use the 30,60,90° triangle ratios 1, √3, 2
YZ/1=50/2
YZ=25m
Using the Pythagorean Theorem....
(2*25)^2=YZ^2+(√3*YZ)^2
2500=YZ^2+3YZ^2
2500=4YZ^2
625=YZ^2
25m=YZ
X/24>1/4
24 is 6 times 4, so 1 times 6=6
x>6 is the answer.
