Answer:
14
Step-by-step explanation:
Let the number be x,
3x-6=2x+8
3x-2x=8+6
x=14
To solve this we use the
equation,
<span> M1V1 = M2V2</span>
<span> where M1 is the
concentration of the stock solution, V1 is the volume of the stock solution, M2
is the concentration of the new solution and V2 is its volume.</span>
<span>
</span>
<span>M1 = .80 g H2SO4 / g solution (1018 g solution / L solution ) (1 mol / 98.08) = 8.30 M</span>
<span>
</span>
<span>8.30 (V1) = (5.0 M) (1.5 L)</span>
<span>V1 = 0.9036 L or 903.6 mL of the stock needed</span>
Answer:
Two solutions
Step-by-step explanation:
This is a quadratic equation in the form y = ax² + bx + c.
For quadratic equations, you can find solutions using the quadratic formula:
.
To find the number of solutions, <u>you only need what's inside the square root</u>. We call it the "<u>discriminant</u>" because lets us know the number of solutions without solving.

If b²- 4ac > 0, two solutions. (greater than)
If b²- 4ac < 0, no solutions. (less than)
If b²- 4ac = 0, one solution. (equal to)
y = ax² + bx + c
y = -3x² + x + 12
a = -3 b = 1 c = 12
<u>Substitute into the discriminant</u>
b²- 4ac
= 1² - 4(-3)(12)
= 1 - (-144)
= 145 > 0
b²- 4ac > 0 Discriminant greater than 0
Therefore, there are two solutions.
Right triangle means we can use a^2+b^2=c^2
isosceles means 2 sides are equal legnths
the hypotenuse is normally the longest side so the equal sides are the other sides so therefore
a=b
therefor
(a^2)+(a^2)=c^2
2(a^2)=16^2
2(a^2)=256
divde both sides by 2
a^2=8
the side legnth of the other 2 sides is the square root of 8 which is aprox 2.8284271247452
but we only want the tenth so we look at the hundreths as well
2.82
round to the nearest tenth
2.8 cm is the answer of the legnths
Answer:
114 cookies
Step-by-step explanation:
120×0.95=114