Answer:
318.2 ml
Step-by-step explanation:
Jamie has 100 ml of a 50% isopropyl alcohol solution.
She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.
Let the amount of 96% solution required = x ml
Final amount of 85% isopropyl alcohol solution = (100 + x) ml
Therefore, equation for this situation will be,
100 × (50%) + (x) × (96%) = (100 + x) × (85%)
100(0.5) + 0.96x = 0.85(100 + x)
50 + 0.96x = 85 + 0.85x
0.96x - 0.85x = 85 - 50
0.11x = 35
x = 
x = 318.18 ml
≈ 318.2 ml
Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.
Answer:
(-4,0) and (4,0)
Step-by-step explanation:
The x-intercepts occur for values of x where f(x) = 0.
f(x) = 0 when the nominator (
) = 0.
is a difference of squares,
so you can factor it as (x + 4)(x – 4)
When x = –4 or x = 4, the nominator is 0, and f(x) = 0
Volume of pyramid = 1/3 * height * area of the base
= 1/3 * volume of the cube
= 6 cm^3
Answer: a the first answer is right