Answer:
11
Step-by-step explanation:
If you add 11 6 times, you will get 66 or if you multiply 11 times 66 you will get 66.
Answer:
D. 5/6
Step-by-step explanation:
The given fractions have decimal values of ...
2/3 ≈ 0.67
6/7 ≈ 0.86
The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.
The last choice (5/6) is between 2/3 and 6/7.
Using a common denominator of 42, these three fractions are ...
2/3 = 28/42
5/6 = 35/42
6/7 = 36/42
The fraction 5/6 lies between 2/3 and 6/7.
_____
It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Answer:
8.9 grams per centimeters cubed
Step-by-step explanation:
The formula for density is D=M÷V
Just divide 222.50 by 25.00 and you are done.
