1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondaur [170]
3 years ago
12

Simplify (2/3)^2∙81 please explain 2

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

36

Step-by-step explanation:

Simplify the following:

(2/3)^2 81

Hint: | Simplify (2/3)^2 using the rule (p/q)^n = p^n/q^n.

(2/3)^2 = 2^2/3^2:

2^2/3^2 81

Hint: | Evaluate 2^2.

2^2 = 4:

4/3^2 81

Hint: | Evaluate 3^2.

3^2 = 9:

4/9×81

Hint: | Express 4/9×81 as a single fraction.

4/9×81 = (4×81)/9:

(4×81)/9

Hint: | In (4×81)/9, divide 81 in the numerator by 9 in the denominator.

81/9 = (9×9)/9 = 9:

4×9

Hint: | Multiply 4 and 9 together.

4×9 = 36:

Answer:  36

You might be interested in
Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28. She went back the following week and bo
LuckyWell [14K]
Let

x
be the price for a pound of ham
y the price for a pound of cheese

<span>1.3x +0.8y = 11.28  ....(1)
1.5x +1.2y = 14.76  ....(2)

Lets multiply (1) by -1.2
Lets multiply (2) by 0.8

-1.56x -0.96y = -13.536 .....(3)
</span> 1.2x + 0.96y = 11.808 .....(4)


If we add (3) and (4)

-0.36x = -1.728 ............> x = 4.8

We substitute in (1)

1.3(4.8) +0.8y = 11.28

y = 6.3

Price per pound of ham = x = 4.8
Price per pound of cheese = y = 6.3
5 0
3 years ago
Any easier way to solve this than plugging each x value in?
Evgesh-ka [11]
Solving The Problem From Eaxh Side Is Easier
6 0
3 years ago
Please Help URGENT!!
AlekseyPX
Y + 79 + 37 = 180
y + 116 = 180
y = 64
3 0
3 years ago
Read 2 more answers
Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
What is the rule of the reflection?
iogann1982 [59]

The rule of reflection in the image shown is: (x, -y).

<h3>What is Reflection?</h3>

Reflection is a transformation which creates a new image by flipping over a line of reflection. The new image is congruent to the original image after reflection. The rule of reflection over an x-axis is given as, (x, -y).

In the image given we can see that rotating triangle LMN over the x-axis gave us:

M(-5, 4) → M'(-5, -4)

L(-4, 2) → L'(-4, -2)

N(-2, 3) → N'(-2, -3)

Therefore, the rule of reflection is: (x, -y).

Learn more about reflection on:

brainly.com/question/26642069

#SPJ1

8 0
2 years ago
Other questions:
  • How do you solve this?
    9·1 answer
  • Find two numbers the quotiens is between 136÷6
    10·1 answer
  • $0.26/hour=$_____/day
    10·2 answers
  • Find the area of the hexagen whose Vertices taken in order
    10·1 answer
  • A consulting firm submitted a bid for a large research project. The firm’s management
    12·1 answer
  • X=-7+21<br> 2y-6x=6<br> need help with Substitution
    14·1 answer
  • PLEASE PLEASE HELP QUICK ITS AN EXAM !!
    10·2 answers
  • Please help me this is my final!!!
    8·2 answers
  • Type the correct answer in each box. Spell all words correctly.
    11·1 answer
  • Help pleasee! i have to turn this in soon
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!