Alright. So We Need To Take A Look At The Answer Choices. The Sum Of Two Rational Numbers Is Always Rational. This Is True. You Cant Add Bad With Bad And Get Good. So You Will Always Get Rational Numbers, So It Is Not A.
Lets Look At B. <span>The product of a nonzero rational number and an irrational number is always irrational. This is True. Pi Times Any Number Is Irrational. If You Have A Repeating Decimal,You Can't Change It To A Whole Number.
Lets Look At C. </span><span>The product of two rational numbers is always rational. This Is True. Any Rational Numbers Multiplied Will Always Be Rational. 3.5 * 4 = 14. this Is Still Rational, So Not C.
Lets Look At D. </span><span>The sum of two irrational numbers is always rational.This Is Not True. If You Do: Pi + Pi, This Will Not Be Rational. So, It Is D.
So, Having Looked At All The Choices, The Answer Is D.
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Answer:
402
Step-by-step explanation:
The standard formula for the nth term of an arithmetic sequence is:
t + (n - 1)d
where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:
22 = t + (5 - 1)d
62 = t + (15 - 1)d
22 = t + 4d
62 = t + 14d
We can use elimination to cancel out t:
62 = t + 14d
-( 22 = t + 4d )
40 = 10d
d = 4
Now, we can substitute the common difference to find the first term:
22 = t + 4*4
22 = t + 16
t = 6
Lastly, we can substitute values in the first equation to find the 100th term:
a100 = t + (n - 1)d
a100 = 6 + (100 - 1)(4)
a100 = 6 + (99)(4)
a100 = 6 + 396
a100 = 402
It’s literally 1/4 because 4/4 is one and you have 1/4 left over
Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.