Answer:
The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
Step-by-step explanation:
However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
Answer:
6)
a. x=35
b. x=4
c. x=30
Step-by-step explanation:
6a) 7/9=x/45
7/9×45=x
7×45/9=x
315/9=x
35=x
x=35
————————
b. 10/8=5/x
5/4=5/x
5/4x=5(the x is in the middle of the division sign here)
5x/4=5(the x is NOT in the middle of the division sign)
5x=5×4
5x=20
x=20/5
x=4
———————
c. x/34=15/17
x=15/17×34
x=15×34/17
x=510/17
x=30
hope that helped you. I can't answer number 7, I'm sorry
It would be 1,602. Because if he pays 178$ every 4 months, you would divide 178 by 4 which is 44.50 then times it by 36 months which is 3yeara which gives you a total of 1602$
ANSWER
The possible rational roots are:
EXPLANATION
According to the rational root theorem, the possible rational roots of the polynomial,
are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.
Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.
For
, we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.
The same thing applies to 
also.
As for
, 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.
1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?
He is 9% of the class that is spreading Christmas cheer.
2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?
If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.
3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?
They worked 98.5% of the time
4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?
80% of flyers have been handed out.
5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?
This number as a decimal and a fraction in simplest form is 3/20 and 0.15.
