Is the simplified form of 2 square root of 3 + 3 square root of 3 rational?

Answers

Answer 1

[tex]2\sqrt3+3\sqrt3=(2+3)\sqrt3=5\sqrt3-\text{It's an irrational number}[/tex]

Answer 2

No it is not rational


Related Questions

6/8n=18
Answer this because I'm having trouble

Answers

the ansewer is n = 14

I think this is the right answer is not 14 because

6×14=84

so 84/8 is 10.5 which is not equal to 18

write an equation for the line that passes through (5,-4) and is perpendicular to the graph of 5x -2y=-6

Answers

Answer:

y = (-2/5)x - 2

Step-by-step explanation:

One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +:  5x - 2y = -6 becomes 2x + 5y = c.  Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.

Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.

Then -4 = -2 + D, so that D = -2.

The desired equation is thus y = (-2/5)x - 2.

Check:  Does this pass through (5, -4)?  Is -4 = (-2/5)(5) - 2 true?  Yes.

Is the slope -2/5 the negative reciprocal of 5/2?  Yes, it is.


Apples cost $0.89/pound. What is the constant or proportionality (k)

Answers

*(Answer)*= 0.89 is the constant is because no matter what you do you still have to multiply 0.89 to the x values

John rents a car for $85 a week plus $0.26 per mile.
How far can he travel on a budget of $215?

Answers

John can drive 500 miles. IF he drives all the miles in one week.
215-85=130. 130^0.26 =500

In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?

Answers

Answer:

2

Step-by-step explanation:

A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positive difference of them.

third side is in between 1.2 and 2.6 but it has to be a whole number so its 2

A possible measure of the third side is 2m (to the nearest whole number)

Using the triangular theorem which states that the measure of the third side of the triangle is less than the sum of the other two sides.

Given the length of the other two sides as 1.9m and 0.7m

Taking the sum

Sum of other two sides = 1.9m + 0.7mSum of other two sides = 2.6m

Since the length of the third side must e less than the sum, hence the required answer must be less than 2.6m.

A possible measure of the third side is 2m (to the nearest whole number)

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Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

Answers

What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.

X = each visit to the movie.

Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.

To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.

Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

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What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42 degrees

Answers

Isosceles triangle means both base angles are the same. SO,

42+42= 84

a triangle has 180 degrees. 180-84=96

the vertex angle is 96 degrees

The base angles of an isosceles triangle are equal.

The vertex angle is: 96 degrees

The given parameters are:

[tex]Base = 42[/tex]

So, we have:

[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle

Substitute known values

[tex]Vertex + 42+42 = 180[/tex]

[tex]Vertex + 84 = 180[/tex]

Collect like terms

[tex]Vertex = -84 + 180[/tex]

[tex]Vertex = 96[/tex]

Hence, the vertex angle is: 96 degrees

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Multiplication using the distributive property practice Hannah homework lesson 25 chapter tonight P 91 question number two in the back

Answers

Solve out the actual multiplication problem: 18 x 5 = 90

So you can see that the final answer is 9 tens.

hope that helps :)

If the denominators of two fractions are the same, how do you add the fractions?

Answers

When you have the same denominator you can just add the numerators but not the denominator

For example:

[tex] \frac{3}{15} + \frac{5}{15} = \frac{8}{15} [/tex]

Step-by-step explanation: To add like fractions or fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

Let's try an example.

[tex]\frac{1}{13}[/tex] + [tex]\frac{5}{13}[/tex] = ?

In this example, if we add the numerators we have 1 + 5 which gives us 6 and we put this over our original denominator which is 13. Therefore, 1/13 + 5/13 .  gives us 6/13 which is in lowest terms.

Please help me! I will mark the correct answer brainliest!

Answers

Answer: The answer is y=-2x+3


Answer:B


Step-by-step explanation:

The step by step solution us given in attachment below.


Lin earns a salary of $65000 a year. His benefits are equal in value to 40 percent of his salary. What is the value of Lin's benefits?

Answers

The answer is 65000 divided by 40/100, which equates to 26000.

Tl;DR the benifit is 26000

ABCD is a rectangle. Which of the following pairs of angles are complementery?

Answers

Complementary angles equal 90 degrees.

Since each corner of the rectangle equals 90 degrees, the answer needs the same letter in the middle of each angle.


The correct answer is D, because the letter A is the middle letter of each angle.

The y-value is ten decreased by the square of the x-value

Answers

answer:

y = 10 - x²

step-by-step explanation:

the y value is means the y value is equal to meaning the first part of our equation is y =

10 decreased means 10 minus so the next part of our equation is y = 10 -

the square of the x value means x squared so the last part of our equation is y = 10 -

The required expression is y =  10- x²

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given statement is ,

The y-value is ten decreased by the square of the x-value

So we have two variables x and y.

So square of x = x*x = x²

and, ten decreased by the square of the x-value = 10- x²

Hence we get y is 10- x²

So the expression is

y =  10- x²

Hence,the required expression is y = 10- x²

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I need this fast! 30 points!

a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?

b.) Describe a series of at least two similar transformations that will transform polygon EFGH into polygon E’F’G’H’?


c.) There is more than one way to transform polygon EFGH into polygon E’F’G’H’. Describe the second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.

Answers

they are similar,
translation and rotation

Number 16??? Plz help

Answers

Jamahl number is greater

I need help with this question please.

Problem: A karate team had 6 girls and 9 boys. Then 2 more girls and 3 more boys joined the team. Did the ratio of girls to boys stay the same?Explain.

Answers

The answer would be yes. The way to solve this is by simplifying the first ratio. The first ratio should be girls to boys, which is 6:9. And since ratio can be fractions, 6:9 could be 6/9. Since 6/9 can simplify, you would get 2/3. Now we need to add the 2 girls and 3 boys back into the ratio. The ratio would then look like 8:12. And 8:12 could be 8/12, and 8/12 can be simplify, we get 2/3. So this means that the ratio stayed the same.

The ratio of girls to boys in the karate team remained the same at 2:3, both before and after the new members joined.

Initially, there were 6 girls and 9 boys, creating a ratio of 6 girls to 9 boys, which simplifies to 2:3 when divided by the greatest common divisor, 3. After 2 more girls and 3 more boys joined, the team had 8 girls and 12 boys.

This new ratio also simplifies to 2:3, since both the numerator and denominator can be divided by 4. Therefore, the ratio of girls to boys did not change after the new members joined the team; it remained the same at 2 girls for every 3 boys.

If function f is defined by f(x)=2/3-4 what is f(-18)

Answers

Gotcha!

Since there is no variables listed, I'll solve it both ways. :-)

f(-18)=2/3(-18)-4

Multiply the fraction by negative 18!

f=-12-4

answer: f=-16

If it's this way then it goes like this:

f(-18)=2/3-4(-18)

f=2/3+72

f=218/3 or f=72.66666..... Rounded: 72.7




0.2(6x+1)/3.6 = 0.5x/9 please include work

Answers

0.2(6x+1)/3.6=0.5x/9


We move all terms to the left:


0.2(6x+1)/3.6-(0.5x/9)=0


We add all the numbers together, and all the variables


0.2(6x+1)/3.6-(+0.5x/9)=0


We get rid of parentheses


0.2(6x+1)/3.6-0.5x/9=0


We calculate fractions


There is no solution for this equation

   

central subs made 27 sandwiches using 12 pounds of turkey.how much turkey was used per sandwick?

Answers

27*12= 324 pounds of turkey


12 lb divided by 27 sandwiches
12/27=.444 lb

You do not multiply, you divide because you are dividing the turkey between the sandwiches


Help please !!! Oh


Select all the equations where m= 4 is a solution


Choose 3 answers:

A) 13 = 9 + m

B)7- m = 3

C) 15 = 11m

D) 5 = m + 2

E) 20 divide m =5

Answers

Answer:

A, B, E

Step-by-step explanation:

A) 13=9+m

m= 13-9

m=4 ✔️

B) 7-m =3

m= 7-3

m=4 ✔️

C) 15= 11m

15=11*4

15≠44

D) 5= m+2

If m=4 therefore

5≠4+2

5≠6

E) 20 divide m = 5

20/4 = 5

therefore, m=4 ✔️

Final answer:

By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.

Explanation:

In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.

Let's substitute m with 4 in each equation:

A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true. B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4. C) 15 = 11m becomes 15 = 44 which is incorrect. D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6. E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.

Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.

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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
                    

Answers

Let x be the number of rocks that George have at first.

First, George have x rocks. Then, he gets 5 new rocks. So, we have:
[tex]x + 5[/tex]
Next, half of his rock collection is given to Susan.
[tex] \frac{x + 5}{2} [/tex]

Susan got 36 rocks, so the equation is
[tex] \frac{x + 5}{2} = 36[/tex]

Answer:

C

Step-by-step explanation:

why do some fractions convert to terminating decimals, while others repeat.

Answers

Because they do not have similar multiples with each other so they repeat, while some others do so they are terminating.

hope that helps :)

find two consecutive integers whose sum is 93. (Show work)

Answers

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

How to write a comparison sentence 5*9= 45

Answers

I think a comparison sentence could be 45 is 5 times as many as 9.

Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formula

Answers

4c2 + 7c – 5 = 0   a=4   b=7   c=-5

x = [-b +-sq root (b^2 -4ac)] / 2a

x = [-7 +-sq root(7^2 -4*4*-5)] / 2*4

x = [-7 +-sq root(49 + 80)] / 8

x = [-7 +-5.5677643628] /8

x1 = 0.544727125

x2 = -2.294727125



2

3

-3

-6

Please help

Answers

Find x-intercept and y-intercept

x-intercept = 3 → (3, 0)

y-intercept = -6 → (0, -6)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{-6-0}{0-3}=\dfrac{-6}{-3}=2[/tex]

Answer: 2

How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?

Answers

Answer:

A proportional relationship is a relation of the form:

Y = A*X

This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.

And notice that the relation:

Y/A = X

is also a porportional relationship

This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.

The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.

Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)

Answers

The slope intercept form is y = -x - 4

To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-5 - 0)/(1 - -4)

m = -5/5

m = -1

Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

-4 = b

Now we can use those two things top model the equation.

y = -x - 4

A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?

Answers

Find out what number $350 is 8% of, since he makes 8% commission on sales.  In the percent formula:  a = pb

a is the part, p is the percent (as a decimal), b is the base  

350 is 8% of what number?  350 = 0.08b {substituted given values into percent formula and changed 8% to a decimal}

b = $4,375 {divided each side by 0.08}  

He needs to make at least $4375 worth of sales.


Let's do this step by step.
First you have to write the problem.
[tex]110 + 19h \geqslant 338[/tex]
h=number of hours worked.

Now, subtract 110 from each side.
Your left with,
[tex]19h \geqslant 228[/tex]
Now you will divide each side by 19 but when dividing 19h you will leave the h.
Your left with
[tex]h \geqslant 12[/tex]
And this will be your answer.
[tex]h \geqslant 12 \\ she \: will\: have \: to \: sell \: at \: least \: 12 \: computers \: to \: make \: atleast \: 338[/tex]

What percent of his overall bill did beau save?
Original Price: $205
Price after discounts: $143.50

Answers

33.3333333333333333333333333333333333333% um, you get the point right? 205-143.50 = 61.50

205/61.50 = 3.333333333333333333333333, or 33.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333%

The answer is 205-143.50 over 205 in fraction ways which equal 61.5 over 205 which equals 0.3= 30%30% is the answer.
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