(6 + √27) / 3 Sorry i wrote it wrong the first time.

Answers

Answer 1
3.73205081 i think it right hope it helps
Answer 2

Answer: [tex]2 + \sqrt{3}[/tex]

==============================================

Work Shown:

[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]

The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.

That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.

After simplifying the square root, we factor out the GCF and then cancel out the 3's.


Related Questions

Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam?

Answers

Answer:

d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.

Step-by-step explanation:

Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

a. Mateo scored a 55% on his exam. b. Mateo scored as well as or better than 55% of his classmates, with a score of 78. c. Mateo scored worse than 55% of his classmates, with a score of 78. d. Mateo scored as well as or better than 55% of his classmates, with a score of 82. e. Mateo scored worse than 55% of his classmates, with a score of 82. Solution

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556

Average or mean score:

1556/20 = 77.8

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

The school shop ordered 20 boxes of snacks and there were 89 snacks in each box. If 15 snacks were sold from each box, how many were left?

Answers

Answer:

1,480

Step-by-step explanation:

89x20=1,780 total snacks

20x15=300 snacks sold

1,780-300=1,480 snacks left


Find the area of the figure.
9 yd
6,4 yd

Answers

Answer:

144 should be your answer

Step-by-step explanation:

y2-8+7
2x - y >4
Yes
No

Answers

No is the answer.
Thank you!

What does ¼ x (5.6) equal to

Answers

Answer:

The answer is 1.4 because you have to simplify it. Hope this helps :)

Step-by-step explanation:

Help...plzz giving 25 points

Answers

Answer: the integers are closed under addition, multiplication, and subtraction, but NOT division.

Step-by-step explanation:

The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?

Answers

Answer:

22 46 15

Step-by-step explanation:

i looked it up because i was even confused. but i think this is right. hope this helps.

Answer the question in the file

Answers

Answer:

30

Step-by-step explanation:

50-2×(3^2+1)

50-2×(9+1)

50-2×(10)

50-20

30

Hey there!

ANSWER: [tex]30[/tex]EXPLANATION:

[tex]50-2*(3^2+1)=?[/tex]

You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.

[tex](3^2+1)=10[/tex]

Now go to multiplication.

[tex]2*10=20[/tex]

Now move to subtraction since that's what we have left.

[tex]50-20=30\\30(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

The sum of two numbers is seventy-two. Twice one of them equals ten times the other. What are the numbers? Please Help MEE It would be Amazing

Answers

Let's create a system of equations to solve this.

x + y = 72

2x = 10y

Let's solve this equation for x

2x = 10y

Divide both sides by 2

x = 5y

Plug 5y into our first equation to solve for y

5y + y = 72

Combine like terms

6y = 72

Divide by 6

y = 12

x = 5y = 5(12) = 60

When using 3 letters to make an angle the middle letter is

Answers

X? Not sure what the answer choices are but try that

Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

Answers

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

Answer: A

Step-by-step explanation: line one should have a y-intercept at (0,2).

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12

Answers

Answer:

3x-6=12

3x-6=-12

x=6

x= -2

1st x = -2

2nd x = 6

Step-by-step explanation:

Which equation represents the data shown in the table below? x y 2 9 3 12 4 15 5 18 A. y = 2x + 9 B. y = 3x + 3 C. y = 3x + 12 D. y = 4x + 1

Answers

Answer:

Step-by-step explanation:

The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The data best fit the line y = 3x+3, the correct option is B.

What is an Equation?

The equation is a statement that equates two algebraic expressions with an equal sign.

The data is given

x   y

2    9

3    12

4    15

5    18

The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.

The first equation is

y = 2x +9

Substitute ( 2,9)

9 = 2 *2 +9

9 ≠ 13

The second equation is

y = 3x +3

Substitute ( 2,9)

y = 3 *2 +3

9 = 9

Substitute ( 3,12)

12 = 3 *3 +3

12 = 12

Therefore, the data best fit the line y = 3x+3, the correct option is B.

To know more about Equation

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Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.

Answers

Answer:A

Step-by-step explanation:

Answer: Answer is A

Step-by-step explanation: i got it right on edge 2023 <33

The intersection of two lines can be a line segment

Answers

Answer:

A plane and a line can intersect in a point—- false

Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000

Answers

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

[tex]\frac{72776}{125}[/tex]

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

[tex]\frac{72776}{125}[/tex]

or 582.208

or

[tex]582 \frac{26}{125}[/tex]

what is the difference between 9 - 4 1/5

Answers

Hey there!☺

[tex]Answer:\boxed{4\frac{4}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]9-4\frac{1}{5}[/tex]

Subtract the whole number by the fraction.

[tex]\frac{24}{5}[/tex]

24/5 needs to be simplified so we will rewrite it like this:

[tex]4\frac{4}{5}[/tex]

Hope this helps!

I need help. Three different polygons in this shape and explain how I know? Help please thanks!

Answers

Answer:

why it say least

Step-by-step explanation:

as the first word

Well, it's a square, a rhombus and a rectangle.

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.

A rhombus is a quadrilateral whose four sides all have the same length.

Hope I helped :)

Which unit should be used to measure mass of pencil?

Answers

Answer:

Grams

Step-by-step explanation:

Pencils are pretty light, so they should be measured in grams.

Answer:

grams :)

Step-by-step explanation:

I looked it up

Colin Davis machine company maintains a general ledger

Answers

Step-by-step explanation:

yf.bfz

vcg ,kgu nkkgfgvvxvh

BbhhhhhuskyNnnjhhhJndg.

Answers

.... What’s your question?

The center of circle P is at (-3, 8) and the radius is 12
units. Find its equation.

Answers

Answer:

The answer is

x² + y² + 6x - 16y - 71 =0

Step-by-step explanation:

The equation of a circle is given by

( x - a)² + ( y - b)² = r²

where ( a , b) is the center of the circle and

r is the radius

From the question the center is

P (-3, 8) and radius = 12

Substitute the values into the above formula and solve

That's

( x + 3)² + ( y - 8) = 12²

Expand the terms

That's

x² + 6x + 9 + y² - 16y + 64 = 144

Arrange the terms

x² + y² + 6x - 16y + 9 + 64 - 144 = 0

We have the final answer as

x² + y² + 6x - 16y - 71 =0

Hope this helps you

Expanded form of 7050024

Answers

Expanded Notation Form:

 7,000,000  

+ 0  

+ 50,000  

+ 0  

+ 0  

+ 20  

+ 4  

Expanded Factors Form:

 7 × 1,000,000  

+ 0 × 100,000  

+ 5 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 2 × 10  

+ 4 × 1  

Expanded Exponential Form:

7 × 106

+ 0 × 105

+ 5 × 104

+ 0 × 103

+ 0 × 102

+ 2 × 101

+ 4 × 100

Hope this helps? :))

Answer:7,00,000 50,000 20 4n

Step-by-step explanation:

I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
Show Work!

Answers

Answer: 24$

multiply $12x$2 and get 24$

Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?

If each ticket costs $12 dollars you will add 12 and 12 and you get 24 dollars .

I need help please ​

Answers

Answer:

Equal 15

Step-by-step explanation:

2+588(357)

4-136

One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?

Answers

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  [tex]\frac{sum of scores}{number of samples}[/tex]

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]

                                                    = 242

Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42

Answers

Answer:

16% decrease

Step-by-step explanation:

Solve for t.
-3t + 3 – 7t = -90 – 7

Answers

Answer:

t = 10

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

Simplify both sides of the equation

That's

- 10t + 3 = - 97

Using the subtraction property subtract 3 from both sides of the equation

We have

- 10t + 3 - 3 = -97 - 3

- 10t = - 100

Divide both sides by - 10

[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]

We have the final answer as

t = 10

Hope this helps you

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

-10t + 3 = -97

-10t = -100

t = 10

What is 33/8 in a mixed number

Answers

Answer: 4 1/8

Step-by-step explanation: To change an improper fraction to a mixed number, you need to first divide the numerator by the denominator as the fraction sign is essentially just a division sign. In this case, you do 33 divided by 8, which would get you 4 with a remainder of 1. 33/8 is just equal to 4 and 1/8.

33/8 is equal to 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

What are Fractions?

Fractions are numbers of the form [tex]\frac{p}{q}[/tex] where both p and q are real numbers. It can also be defined as a portion of a whole.

p is called the numerator and q is called the denominator.

There are different types of factors such as unit fractions, like fractions, unlike fractions, improper fractions, proper fractions, mixed fractions and so on.

Mixed fractions are fractions of the form q [tex]\frac{r}{d}[/tex] where q is the quotient, r is the remainder and d is the divisor upon dividing the numerator with the denominator of an improper fraction.

33/8 can be expressed in the mixed form by dividing 33 with 8.

We get quotient is 4 and remainder is 1.

So 33/8 = 4 [tex]\frac{1}{8}[/tex]

Hence 33/8 can be written as 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

To learn more on Fractions, click on the link given below:

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