Answer:
Rational numbers are fractions composed of integers. An integer is a number with no fractional part. So 7/8 is a ratio of whole numbers, which makes it rational. Negative or positive does not matter.
Step-by-step explanation:
The mean is 12.1 and the median is 9.
To find the mean you add together all the values (8,8,9,9,9,9,9,10,10,40) and divide the sum (121) by the number of values there are (10). Thus making the mean 12.1.
To find the median, you sort the values numerically, and find the middle-most number. When doing so, you find that there are 2 numbers in the middle of this value set (since there are an even number of values). Since the 2 left-over values are 9, the median is 9.
I hope this helps!
W= 31.4
Step 1: 4*Pi = 12.566370614359
Step 2: -6*Pi = -18.849555921539
Step 3: Rewrite equation (12.566370614359=w-18.849555921539)
Step 4: Move the number that is equivalent to 6Pi over to the other side of the equal sign to get the variable alone. (12.566370614359+18.849555921539 = 31.415926535898 ) The problem should now look like this, <span>31.415926535898=w
Step 5: Divide the numbers (which you don't really need to do here since the "number" in front of w is 1. This is helpful to know for future problems though.)
Step 6: Round to the nearest tenths place (or however you need to) giving you the final answer of 31.4 </span>
Answer:
y = -1
Step-by-step explanation:
Details have been given in the question, we need to break them apart and create our equations accordingly.
"the sum of two times x and 3 times y is 5"
2x + 3y = 5
"the sum of two times x and 3 times y is 5"
x - y = 5
So, our two equations are:
2x + 3y = 5
x - y = 5
Solve using substitution method, by moving y to the other side.
x = y + 5
2(y + 5) + 3y = 5
2y + 10 + 3y = 5
Combine like terms
5y + 10 = 5
Subtract 10 from both sides
5y = -5
y = -1