The answer is three hundred
X=-2 is the answer to your question.
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
The probability of not picking a green is 3/4. To get this answer you would add up the blue and black marbles, giving you an answer of 9. You would then put 9 over 12, which simplified would equal 3/4. Another way to find the answer is to take 1 and subtract 1/4 because 1/4 is the probability of green marbles. Hope this helps!! Have an amazing rest of your day!! :) <span />
Answer:
f(x) = - 2 (x + 2)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 6), thus
y = a(x - (- 2))² + 6, that is
y = a(x + 2)² + 6
To find a substitute the point (0, - 2) into the equation
- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )
- 8 = 4a ( divide both sides by 4 )
- 2 = a
f(x) = - 2(x + 2)² + 6 ← in vertex form