Answer: The sum of rational and irrational number is always irrational...
Answer:
When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.
(Rational number): A number that can be accurately expressed as the ratio of two integers. Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. Irrational numbers refer to infinite and non-recurring decimals such as: π ·The difference between irrational and rational numbers: 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.
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Mrs.Baker bought some books at the book sale,including 12 paperback books.24%of all the books she got were paperbacks.how many books did Mrs.Miller buy in all
Answer:
50
Step-by-step explanation:
12books=24%of all books
12×2=24
100-24= 76
76÷2=38
38+12=50
help anyone please??
Answer:
1.
Collinear points mean they are on the same line. That leaves us with answer d. F, E, G
2.
In this case, the intersection of the 2 planes is a line. 2 points both planes contain are B and C, so the intersection can be named as answer b: Line BC
3.
2 points define a line, so therefore the answer to the question is answer b. 1
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write the four equivalent fraction of 9/13
Step-by-step explanation:
18/26
27/39
36/52
45/65
An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n)
Which option is an example of a survey?
A collecting data on pulse rate of a group of people
B. Flipping a coin 100 times and counting the number of heads
C. Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day
D. Having a randomly selected group of students take a penci-and paper test and comparing the results with another randomly selected group of students who took the same test on the Computer
Answer:
C
Step-by-step explanation:
You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.
A truck is carrying 9 cars weighing an average of 4,000 pounds each. What is the total weight in tons of the cars on the truck
Answer:
18 tons
Step-by-step explanation
First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.
Solve for h.
2h − 1 = 1
h =
Answer:
h = 1
Step-by-step explanation:
2h - 1 = 1
2h - 1 + 1 = 1 + 1
2h = 2
2h/2 = 2/2
h = 1
Check:
2(1) - 1 = 1
2 - 1 = 1
1 = 1
Answer:
h = 1
Step-by-step explanation:
Add 1 to each side, so it now looks like this: 2h = 2Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = 1I hope this helps!
A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each
Answer:
$23.04
Step-by-step explanation:
what is the answer to -7-(27)
Step-by-step explanation:
hope this helpsAnswer:
-34
Step-by-step explanation:
-7 - 27 = -34
or
-7 + -27 = -34
The quotient of a number and 2 increased by 8 is -15
A proportional relationship is represented with the equation y=5x. What is the constant of proportionality of the relationship?
PLZ HELP
The constant is 5, as it relates the two values x and y.
Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is
The distance from Atlanta to San Jose is
Answer:
(2,440.1 mi)
Which is a solution of 3(x + 4) - x > 4 ?
a. -6
b. -5
c. -4
d. -3
Find the sigma notation of the following sum:
[tex][(\frac{2}{n})^3-\frac{2}{n} ](\frac{2}{n} )+...+[(\frac{2n}{n} )^3-\frac{2n}{n} ](\frac{2}{n} )[/tex]
Answer:
[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
Step-by-step explanation:
We have the sum:
[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]
And we want to find the sigma notation that represents the sum.
Note that the leftmost term is the first term while the rightmost term is the last term.
n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:
[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]
Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.
Therefore, we can write the following summation:
[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]
And since (2 / n) is constant:
[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
What is 441,902 rounded to the nearest ten thousand?
Answer:
440,000
Step-by-step explanation:
The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.
Calculation of the number:Since the given number is 441,902
We have round the above number to the nearest ten thousand
Since the thousand is less than 5,000 so here it should be 440,000
hence, The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.
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Please help :/ math is my worst subject and i cant get it for the life of me lol
The answer is (-2, -1.5, 0, 2/5, 3/4)
Answer:
the answer is c
Step-by-step explanation:
because -2 is less than -1.5 0 is going to be in the middle because it separates positive from negatives. and 2/5 is smaller then 3/4
Alex has a rectangular piece of red paper that is 4centimeters wide. It's length is twice it's width.she glues a rectangular piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters how many square centimeters of red will be paper will be visible on top
Answer:
11 square centimeters
Step-by-step explanation:
1. find the area of the red paper
4 x 8 = 32
2. find the area of the blue paper
3 x 7 = 21
3. subtract area of the blue paper from area of the red paper
32 - 21 = 11
What is the answer and how do I work this.
Answer:
other
Step-by-step explanation:
you should now this it's too esay in which standard are you. tell in comments
what is a dividen in a qoutient?
Answer:
The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient.
Step-by-step explanation:
Answer:
dividind symbol
Step-by-step explanation:
idk
how much is 2x4x6x8=?
Answer:
384
Step-by-step explanation:
Answer:
your answer will be 384
Step-by-step explanation:
2x4x6x8=384
#2.) Town B is 380 km do south of town A. Town C is 460 km due east of town B. What is the distance from town A to town C? Explain your reasoning. Be ute to round your answer appropriately.
Which of the following expressions
are equivalent to the whole number
240?
O 8x3
8 x 30
O 80 x 3
O 6x40
O 60 x4
Answer:
80x3, 6x40, 60x4
Step-by-step explanation:
80x3=240
6x40=240
60x40=240
-2(3h-1)=5(2h-3) has how many solutions are there
Answer:
1 solution
Step-by-step explanation:
-2(3h - 1) =5(2h - 3)
-6h + 2 = 10h - 15
-16h = -17
h = 17/16
Answer: 1 solution
Which statement about the following system of inequalities is true?
There is no solution because the shading does not overlap.
There is no solution because the graphs do not intersect.
The solution contains points in four quadrants of the coordinate plane.
The solution is equal to the solution to
Answer:
the following system of inequalities is true
Step-by-step explanation:
there is no solution because the graph do not intersect
There is no solution because the graph does not intersect.
The following system of inequalities is true.
We have given that,
There is no solution because the shading does not overlap.
There is no solution because the graphs do not intersect.
The solution contains points in four quadrants of the coordinate plane.
The solution is equal to the solution to
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
There is no solution because the graph does not intersect.
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What is the common difference of these numbers 0.5 , 0 ,-0.5 ?
Answer:
0.5
Step-by-step explanation:
they are all 0.5 apart
what is b+b+b+b-b simplified
Answer:
5b* because we have no idea what it could stand for
Answer:
5b
Step-by-step explanation:
However many b's there are that's your number so in this case its 5 and then you just add be to it so 5b
What is 5.269 written as a mixed number
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990
Answer:
1999
Step-by-step explanation:
The equation which represents the given situation is P=180t+620.
Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the standard form of the population is increasing linearly is P = mt + b.
Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)
=360/2
=180
So, 1160=180 × 3 + b
⇒ 1160=540 × 3 + b
⇒ b=620
Then, the equation is P=180t+620
Therefore, the equation which represents the given situation is P(t)=180t+620.
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"Your question is incomplete, probably the complete question/missing part is:"
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
If P(t) is the population at time t, which of these equations correctly represents this situation?
you have a plate with 83 brownies on it you just saw your friend take 62 brownies from the plate how many are left on the plate?
Answer:
21 brownies
Step-by-step explanation:
Answer:
21 brownies.
Step-by-step explanation:
83 - 62 = 21
So there are 21 brownies left on the plate.
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Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.
Answer:
$-748.38
Step-by-step explanation:
Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock
Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105
Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63
Net proceeds = $6356.63 - $7105 = $-748.38
