Which sum is rational?

A. π + 18

B. √25 + 1.75

C. √3 + 5.5

D. π + √2

Answers

Answer 1

Answer:

B. √25 + 1.75

Step-by-step explanation:

A. π + 18 = 21.14159265..

B. √25 + 1.75 = 6.75

C. √3 + 5.5 = 7.2320508...

D. π + √2 = 4.55580..

Rational numbers are any fractions, integers, terminating decimals, or repeating decimals.

Answer 2

Option B will be a rational number while options A, C and D will be irrational numbers.

What is a rational number?

A number that can be written in p/q form where q≠0 is called a rational number.

An irrational number is non-terminating and non-repeating in nature.

For example, π is an irrational number because

π =3.1415926535897.....................that is non-terminating and non-repeating and can never be written in p/q form

Similarly, a non-perfect-square number written inside a root is also an example of an irrational number.

A)  π + 18

π is an irrational number while 18 is a rational number so the sum of irrational and rational will be an irrational number.

B) √25 + 1.75

√25 = 5 i.e. a rational number

1.75 is a rational number

Rational + Rational = Rational

5+1.75 = 6.75

6.75 is a rational number.

C) √3 + 5.5

√3 is an irrational number so √3 + 5.5 is an irrational number.

D) π + √2

π is an irrational number so π + √2 is an irrational number.

Hence, Option B will be a rational number while options A, C and D will be irrational numbers.

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Related Questions

What is a slope perpendicular to the line with equation 6x-4y=30. Can u guys show me step by step. (I’m barely learning and I’m confused)

Answers

i did these about 1 year ago but i think you subtract the 6 from 30 and then divide by 4, and that gives u 24/4 which is 6. i barely barely remember some so
There is the work to solve.

PLEASE HELP!!!
Simplify.

4−8÷2+3



Enter your answer in the box.

Answers

How to get answer: First you need to use PEMDAS or GEMDAS

[tex]4 - \frac{8}{2} + 3[/tex]

= 4 - 4 + 3

= 0 + 3

= 3

Which expression is equivalent to -40 + (-20) + (-60)?

Answers

The answer could be -120 in a simplified form


Answer:

−40+(−20)+(−60) = -40 - 20 - 60= -120

Step-by-step explanation:

when simplified completely, the product of a monomial and a monomial is _____ a monomial

-sometimes
-always
-never

Answers

im gonna say always a monomial ...

Answer: Always

Step-by-step explanation:

what is 0.6 equivalent to

Answers

Answer:

3/5 and 60%

Step-by-step explanation:


Look at the figure. What is another way of naming line m?

Answers

Another way of naming line m is AB

Last one is the answer

Answer: The fourth option. [tex]AB^{<-->}[/tex]

Step-by-step explanation:

BA stands for the segment between B and A, so this is not the correct option.

B (with a double arrow on top) refers to a line, but with only one point we could draw infinite lines, so this is not the correct option)

mB (with a double arrow on top) does not mean anything.

AB (with a double arrow on top) refers to a line that phases through the points A and B, so this is the other way of naming the line m.

CDFGJKOP what letter would complet this sequence pattern?

Answers

CD(e)FG (hi)JK(lmn)OP(qrst)UV

Why does a balloon naturally form a sphere when it is blown up

Answers

Because the balloon is shaped as a sphere so the air match the shape of the balloon

because of the shape it is molded as, some balloons are made to be hearts so when they are blown up they are shaped like hearts

You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?

Answers

Answer:

6 2/3 miles times 4 =

Step-by-step explanation:

Convert the fraction 2/3 to a decimal

2/3  = .67

6.67 miles times 4 = 26.68 miles

or 6x4= 24

2/3+2/3+2/3+2/3  =8/3 or 2 2/3

2 2/3 +24 =26 2/3 miles

Last week I jogged for [tex]26\frac{2}{3}[/tex] miles in 4 times.

What is improper fraction ?

An improper fraction is when the value in the numerator is more than the value in the denominator.We can also write improper fraction in the form where we write the whole part and with a proper fraction where numerator is the remainder and denominator remains the same.

According to the given question

I jog [tex]6\frac{2}{3}[/tex] miles around a track last week I jogged 4 times around that track

therefore my total jogging distance will be

= 4([tex]6\frac{2}{3}[/tex]) miles

= 4 × 20/3 miles

= 80/3 miles

= [tex]26\frac{2}{3}[/tex] miles

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the perimeter of a square with sides of length 3x

Answers

3 x 4 = 12 because there are 4 sides and the length is 3, you multiply 3 and 4 together.

Answer:

Perimeter of square=12x

Step-by-step explanation:

the perimeter of a square with sides of length 3x

The side length of the square is 3x

To find perimeter we add all the sides. All sides are same in a square.

Perimeter of square= 4(a)

where 'a' is the side length

a= 3x. Substitute 3x for 'a'

Perimeter of square= 4(3x)=12x

Order the following form least to greatest: 0.07, 0.71, 0.007, 0.071?

Answers

0.007, 0.07, 0.071, 0.71
0.007,0.071,0.07,0.071

On Monday, it snowed a total of 15 inches. On Tuesday and Wednesday, it snowed and additional 4 1/2 inches and 6 3/4 inches respectively. A weather forecaster says that over the last three days, it snowed over 2 1/2 feet. Is this a valid claim? Justify your answer.

Answers

Add them all up:

15 + 4 1/2 + 6 3/4 = 26 1/4 in.

2 ft equals 24 in.

2 1/2 ft = 30 in.

Yes, it is a valid claim.

Answer:

No. This is not a valid claim

Step-by-step explanation:

First we sum up the total snowfall for the 3 days as:

Monday= 15 inches

Tuesday=4.5 inches

Wednesday=6.75 inches

Total= 26.25 inches

As it is understood that there are 12 inches per foot. So we can simply multiply the number of inches it snowed during the last three days by this factor to find out.

26.25  in ×  1ft /12in ⇒

i.e. 26.25 x 1ft/12

which is 26.25ft / 12

that concludes 2.1875 ft

so it is not close to the forecaster said over 2 1/2 ft

The larger of two numbers is seven less than three times the smaller number if the sum of number is 61 find
numbers

Answers

Well, there really isn't an equation for this. Just plug in numbers and see if the numbers have to be bigger or smaller than the one you guessed. In this case, after plugging in a couple of numbers, I plugged in 17 for the smaller number. Then to find the bigger number, I multiplied 17 by 3, which is 51, then subtracted 7 from 51, which is 44. Since 44+17=61, the numbers are 44 and 17.

find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)

Answers

midpoint = ( [tex]\frac{13}{2}[/tex], - 6 )

using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex](4 + 9), [tex]\frac{1}{2}[/tex](- 10 - 2 )] = ( [tex]\frac{13}{2}[/tex], - 6)


HELP PLEASE I NEED THIS URGENT 10 POINTS AND BRAINLIEST

Answers

63 = 7x

Divide both sides by 7

9 = x

or

x = 9

Answer

9

[tex]<b><i>HEY THERE!![/tex]

According to question
63 = 7x

or 7x = 63

Divide by 7 on both sides.

or x = 63/ 7

or x = 9

HOPE IT HELPED YOU.

which of the following statements is true?
a. a 30 year fixed mortgage will always result in the lowest payment
b. you must have atleast a 20% down payment to get a competitive interest rate
c. the lower your interest rate is, the lower your monthly payment is
d. the faster you pay off your mortgage, the lower your monthly payments are

Answers

The answer is b is the correct answer

c.  The lower your interest rate is, the lower your monthly payments are.

on edge 2021 (:

An auto assembly plant produces 288 cars in 6 days. The constant of proportionality is cars per day.

24?
48?
56?
or 102?

Answers

tbe answer is 48 ...........

For this case we have the following rule of three:

288 cars -------------------> 6days

x cars -------------------> 1dia

Resolving you have that the value of the variable x is given by:

[tex]x =\frac{(1)(288)}{6}\\\\x = 48\\[/tex]

Thus, the constant of proportion per day is 48 cars.

Answer:

Option B

If in a class of 40 students,45% are in band, how many students are in band

Answers

nis after your done can you mind helping me after.. its ok if not.

Answer:

18

Step-by-step explanation:

Make a proportion 45/100  and x/45 then do cross multiplication then solve

9 (x-y)^2-9 (x+y)(x-y)

Answers

Answer

This answer is 18y • (y - 1)

Explanation

Step by step solution:

Equation at the end of step 1:

[tex]9 (x - y) ^2 - 9 (x^{2} - y^{2})[/tex]

Equation at the end of step 2:

[tex]9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)[/tex]

Equation at the end of step 3:

[tex]9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2[/tex]

Equation at the end of step 4:

After performing basic +, - operation we get:

[tex]18y^2 - 18xy[/tex]

Answer is: 18y. (y – x)


write the equation of the line that is parallel to y=2x+9. and goes through the point (3,1)

Answers

First we find the slope of the given line as both the lines are parallel therefore their slopes are equal.

To find slope of given line we compare the equation with point slope form i.e.

[tex]y=mx+c[/tex]

On comparing [tex]y=2x+9[/tex]

We get [tex]m=9=slope [/tex]

As the required line is parallel to given line its slope is equal to given line

[tex]m=9[/tex]

Required line pass through[tex](3,1)[/tex]

Using point slope form

[tex]y-y_1=m(x-x_1)[/tex]

Here [tex]m=9, y_1=1, x_1=3[/tex]

Putting the values and solving

[tex]y-1=9(x-3)[/tex]

[tex]y-1=9x-27[/tex]

[tex]9x-y=26[/tex] is the required equation

Hope this will help


these is the smallest integer -5 - 11 15 5

Answers

-11 is the smallest integer!

Why? Because it's a negative number. -5 is the closest to being a positive. 15 is the largest integer so the answer is -11

Angle 1 and 2 form a linear pair. M∠1 is 5x + 6 and m∠2 is 2x-1. Find m∠2.

Answers

its 54 bro trust me i know what im doing

Solve each algebraically
|x|=12
|x|=1/2
|x|-6=4
5+|x|=14
3|x|=24
|x+3|=10

Answers

x = 12
x = 1/2
x = 2
x = 9
x = 8
x = 7

Insert the parenthesis to make the equality right:

30-49/42/6*8=184

Answers

Answer:

(30-49)/(42/6)6*8=184

Step-by-step explanation:

which table represents a proportional relationship between x and y

Answers


I believe it’s C. The given points go through the origin, so they are proportional.

Remark

They all have (0,0) as a point on the proportional relationship, so the general equation for this is

y = kx

Now all we have to do is find k

Method

If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.

Solution

(1/4) ÷(1/3)     Change to a decimal

0.25 ÷ 0.3333333 = 0.75

(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded

A is not the answer

B

1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5

2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same

B is not the answer

C

(2/5) ÷  3 = 0.4 ÷ 3 = 0.13333333

(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333

Answer C

Comment

The answer is C or y = 0.133333 x

Notice that whenever possible, change these into decimals. Decminals are easier to handle.


Select the statement that correctly describes the expression below

Answers

Answer:

B

Step-by-step explanation:

The equation is (2x+5)^2.

It can't be A because 2 is the multiplier for only x.

It can't be C because the square is outside of the equation.

It can't be D because again, the square is outside of the equation.

So the only thing left is B.

Hope this helped!


what is 9 to the power of 3

Answers

9 * 9 * 9 = 729. This is also an exponent 9^3.

When you determine the powers you need to multiply the number itself how many times the power says to multiply.

9 raised to the power of 3 is equal to 729.

Given that we need to find that what is 9 to the power of 3.

To calculate 9 to the power of 3, we need to multiply 9 by itself three times.

In mathematical notation, it is written as 9³.

First, we start with 9 and multiply it by itself:

9 × 9 = 81

Next, we multiply the result by 9 again:

81 × 9 = 729

In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.

Therefore, 9 raised to the power of 3 is equal to 729.

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Hello!) can you help me please?) number 9 please)

Answers

Independent variable: The number of houses Harold sells

Dependent Variable: The amount of money Harold earns

Function: f(x)=250,000(x)

x represents how many houses Harold sells, and f represents how much money Harold earns.

Now, let's solve the problem.

f(x)=250,000(9)

f(x)=2,250,000

Harold earns $2,250,000

a woman is 6 years older than 3 times her daughters age. their ages total 46. what are their ages?

Answers

Final answer:

The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.

Explanation:

To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:

m = 3d + 6

Next, we know that their combined ages total 46. This leads to a second equation:

m + d = 46

We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:

3d + 6 + d = 46

We simplify this to find d:

4d + 6 = 46

4d = 40

d = 10

Now we can use this to find m:

m = 3(10) + 6

m = 30 + 6

m = 36

So the daughter is 10 years old and the mother is 36 years old.

Which of the following best describes the relationship between (x-5) and the polynomial 2x^2-7x-15?

Answers

ANSWER

[tex]x - 5[/tex]
is a factor of

[tex]p(x) = 2 {x}^{2} - 7x - 15[/tex]

EXPLANATION

Set

[tex]x - 5 =0[/tex]


[tex]\Rightarrow \: x = 5[/tex]

Find

[tex]p(5)[/tex]

[tex]p(5) = 2 ({5})^{2} - 7(5) - 15[/tex]

[tex]p(5) = 2 \times 25 - 7(5) - 15[/tex]

[tex]p(5) = 50 - 35- 15[/tex]

[tex]p(5) = 15- 15[/tex]

[tex]p(5) = 0[/tex]

Since

[tex]p(5) = 0[/tex]

[tex]x - 5[/tex]
is a factor of

[tex] 2 {x}^{2} - 7x - 15[/tex]

Answer:

Step-by-step explanation:

he or she is correct

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