Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅
![x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15%20-%205%20-%206%20%7D%7B15%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B4%7D%7B15%7D)
Chocolate = 18%
Vanilla = 25%
Strawberry = 12%
Mint Chip = 10%
Other = 35%
The explanation for me getting these exact percentages is because of the formulas given for calculating the percentages from specific numbers and real world problems like this. When you are trying to find the calculation precentages of these types of questions, you divide the number by the total surveyed and multiple by 100.
Example:
125 / 500 = 0.25
0.25 x 100 = 25%
So, this is also how I got the other numbers, just change the "125" to the other numbers.
Answer:
![sin(28) = \frac{y}{k} , cos(28) = \frac{x}{k} , tan(28) = \frac{y}{x}](https://tex.z-dn.net/?f=sin%2828%29%20%3D%20%5Cfrac%7By%7D%7Bk%7D%20%2C%20cos%2828%29%20%3D%20%5Cfrac%7Bx%7D%7Bk%7D%20%2C%20tan%2828%29%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
Step-by-step explanation:
For this problem, k is the hypotenuse, x is the side adjacent to 28, and y is the side opposite 28.
I would remember SOH CAH TOA.
S - Sine
O - Opposite
H - Hypotenuse
For this, it shows that the sine of the angle is opposite over hypotenuse. Therefore, y/k.
C - Cosine
A - Adjacent
H - Hypotenuse
For this, it shows that the cosine of the angle is adjacent over hypotenuse. Therefore, x/k
T - Tangent
O - Opposite
A - Adjacent
For this, it shows that the tangent of the angle is opposite over adjacent. Therefore, y/x
Answer:
Factor GCF: 3x(2x⁴ - 5x + 4)
Step-by-step explanation:
Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.
Answer:
A 31/45
Step-by-step explanation:
A 31/45=0.6888 (this is the awnser as the line on top means repeating)
B 682/999=0.682 (0.68 rounded)
C 62/99=0.62626 (repeating)
D 2/3=0.66666 (Or 0.67 rounded)