Answer:
D
Step-by-step explanation:
You are always able to do better, and Fiona needs to reflect
Answer:
4.25 grams
Step-by-step explanation:
100 / 5 = 20
85 / 20 = 4.25
4.25 grams of pure drug are in 85 milliliters of a solution.
Answer:
16 and -4
Step-by-step explanation:
Let the 2 numbers be x and y with x > y
x+y=12
x-y=20
Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve
(x+x)+(-y+y)=(12+20)
2x=32
x=16
16+y=12
y=-4
16+-4=12
12=12
16--4=20
20=20
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
