Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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Question 1195845: Write the Inverse for the following statement. (Convert the statement into symbolic form, write the inverse, then use DeMorgan' s laws to transform it.) If the moon is out, then we will start a campfire and we will roast marshmallows." If we start a campfire and we roast marshmallows, then the moon is out. If the moon is not out, then we will not start a campfire or we will not roast marshmallows. If the moon is not out, then we will start a campfire but we will not roast marshmallows. If we do not start a campfire or we do not roast marshmallows, then the moon is not out.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1195902: Mr White purchased some bottles of mineral water for his son. After a week, he
used 4/7 of the bottles leaving 6 bottles.
(i) Find the fraction of the bottles of mineral water that remain after a week.
(ii) How many bottles of mineral water did he purchased that week?

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Question 1195965: Mrs. Herrera is buying one piece of candy for each of the
students who have 100% attendance. The number of
students in Mrs. Herrera’s math classes that have perfect
attendance is 2 x sqrt(169)-1
. The candy costs $0.79 each, plus
7% tax. How much money does it cost for Mrs. Herrera to
purchase candy for her math students with perfect
attendance?
Ⓐ $19.75
Ⓑ $19.82
Ⓒ $20.45
Ⓓ $21.13

Click here to see answer by Theo(13342) About Me 
Question 1195965: Mrs. Herrera is buying one piece of candy for each of the
students who have 100% attendance. The number of
students in Mrs. Herrera’s math classes that have perfect
attendance is 2 x sqrt(169)-1
. The candy costs $0.79 each, plus
7% tax. How much money does it cost for Mrs. Herrera to
purchase candy for her math students with perfect
attendance?
Ⓐ $19.75
Ⓑ $19.82
Ⓒ $20.45
Ⓓ $21.13

Click here to see answer by MathTherapy(10549) About Me 

Question 1196050: Which subsets of the real number system are closed under division by a nonzero number?
Click here to see answer by MathLover1(20849) About Me 
Question 1196050: Which subsets of the real number system are closed under division by a nonzero number?
Click here to see answer by ikleyn(52747) About Me 

Question 1196662: show that the set of non zero rational numbers is closed under division
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Question 1197043: To ten decimal places pi = 3. 1415926535.
Determine to how many decimal places does each quantity agrees with pi.
A. (4/3)^4
B. 22/7
C. 355/113
D. (63/25)[(17 + 15•sqrt5}/(7 + 15•sqrt{5})]

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Question 1197044: Give an example of irrational numbers a and b such the indicated expression is (1) rational and (2) irrational.
1) a + b
2) a - b
3) (a)(b)
4. (a/b)

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Question 1198029: Set C = {0, 1, 1/2, 1/3, 1/4 }.
List the rational numbers in set C.
I listed all the numbers except for 0. According to the textbook, zero must be included as a rational number.
Question:
What makes zero a rational number?
I know that any number can be written over 1.
For example, 4 = 4/1. We say 4 is a rational number. Does the same apply to 0?
Let me see.
0/1 = 0. Did I just answered my own question?
Am I right? Yes, 0/1 = 0, which makes zero a rational number.
You say?

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Question 1198029: Set C = {0, 1, 1/2, 1/3, 1/4 }.
List the rational numbers in set C.
I listed all the numbers except for 0. According to the textbook, zero must be included as a rational number.
Question:
What makes zero a rational number?
I know that any number can be written over 1.
For example, 4 = 4/1. We say 4 is a rational number. Does the same apply to 0?
Let me see.
0/1 = 0. Did I just answered my own question?
Am I right? Yes, 0/1 = 0, which makes zero a rational number.
You say?

Click here to see answer by ikleyn(52747) About Me 

Question 1198481: If uv=0, does either u or v have to be 0?

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Question 1198568: Hello,
my question is;
Find all real numbers X that satisfy the equation {sqrt(x^2-2)=sqrt(3-x)}

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Question 1198567: Hello,
I would like help to find all real numbers X that satisfy the equation f(x)=2 where f(x)=3+2x^2/x^2+x-6
Thank you in advance

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Question 1199339: 0,1,3,2,6,7,5,4 ....
------
What is next?

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Question 1199837: Can you help me find a real number between 6.45 and 13 over 2.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1199976: find four consecutive even integers such that if the sum of the first and third is multiplied by 5 the result is 12 more than 8 times the fourth
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Question 1200266: It took a crew 9 h 36 min to row 9 km upstream and back again. If the rate of flow of the stream was 7 km/h, what was the rowing speed of the crew in still water?
Click here to see answer by math_tutor2020(3816) About Me 

Question 1200381: Velma has $6.25 in nickels, dimes and quarters. She has twice as many quarters as nickels and five fewer dimes than quarters. How many of each type of coin does she have
Click here to see answer by josgarithmetic(39613) About Me 
Question 1200381: Velma has $6.25 in nickels, dimes and quarters. She has twice as many quarters as nickels and five fewer dimes than quarters. How many of each type of coin does she have
Click here to see answer by MathTherapy(10549) About Me 

Question 1201301: P(x) = x^4 − 81
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

(b) Factor P completely.

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Question 1201306: Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 1 − 2i and 5, with 5 a zero of multiplicity 2.
R(x)=

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Question 1201307: P(x) = x^4 − 81
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
(b) Factor P completely.

Click here to see answer by Alan3354(69443) About Me 
Question 1201307: P(x) = x^4 − 81
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
(b) Factor P completely.

Click here to see answer by ikleyn(52747) About Me 

Question 1201305: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x^4 + x^3 + 14x^2 + 16x − 32

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Question 1201304: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = 2x^3 − 14x^2 + 15x − 18

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Question 1201303: P(x) = x^6 − 1
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
(b) Factor P completely.

Click here to see answer by Alan3354(69443) About Me 
Question 1201303: P(x) = x^6 − 1
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
(b) Factor P completely.

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Question 1201302: P(x) = x^3 + 216
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter your answers as a comma-separated list.)
(b) Factor P completely.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1202193: what is the average rate of change, in millimeters per year, of a persons pupil diameter from age 20 to age 50
Click here to see answer by Alan3354(69443) About Me 

Question 1092860: In a group of 45 college students, 15 like calculus, 17 like abstract algebra, and 18 like graph theory. Eight students like all three subjects. How many like both graph theory and abstract algebra? How many like both calculus and graph theory? How many like graph theory only?
Click here to see answer by mananth(16946) About Me 

Question 948639: A jar contains 1000 identical nails. If a number of nails weighing a total of 1500g were removed from the jar, there would be 850 nails left in the jar. How many g does 1 nail weigh? I took the difference in the amount of nails before and after then divided it into the 1500g and got the right answer 10g. Is this how it should be done. I think I got lucky.
Click here to see answer by mananth(16946) About Me 
Question 948639: A jar contains 1000 identical nails. If a number of nails weighing a total of 1500g were removed from the jar, there would be 850 nails left in the jar. How many g does 1 nail weigh? I took the difference in the amount of nails before and after then divided it into the 1500g and got the right answer 10g. Is this how it should be done. I think I got lucky.
Click here to see answer by josgarithmetic(39613) About Me 

Question 930689: Find the smallest natural number that is simultaneously the sum of 9, 10 and 11
consecutive integers.

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Question 930689: Find the smallest natural number that is simultaneously the sum of 9, 10 and 11
consecutive integers.

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Question 1202601: set p consists of all the prime numbers among the first 100 positive integers. set e consists of all the even numbers among the first 100 positive integers. which of the following must be true?
1. Set P contains more numbers than Set E.
2, The intersection of the two sets contains exactly one number.
3. The union of the two sets contains exactly one number.

Click here to see answer by ikleyn(52747) About Me 
Question 1202601: set p consists of all the prime numbers among the first 100 positive integers. set e consists of all the even numbers among the first 100 positive integers. which of the following must be true?
1. Set P contains more numbers than Set E.
2, The intersection of the two sets contains exactly one number.
3. The union of the two sets contains exactly one number.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2

Click here to see answer by Alan3354(69443) About Me 
Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2

Click here to see answer by ikleyn(52747) About Me 
Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2

Click here to see answer by MathTherapy(10549) About Me 

Question 1203072: Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes.
How many turbines would be required to power 25898 homes? __________ 3 megawatt turbines. Round to the nearest whole number.

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Question 1203072: Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes.
How many turbines would be required to power 25898 homes? __________ 3 megawatt turbines. Round to the nearest whole number.

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Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
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Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
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Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
Click here to see answer by math_tutor2020(3816) About Me