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
Dmitry [639]
3 years ago
8

Help me solve this.... ​

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

1. Solution,\\Let~x=0.272727......\\Then, 100x = 27.272727.....\\Now,\\100x-x = 27.272727..... - 0.27272727..... = 27.\\or, 99x = 27\\or, x = \frac{27}{99} = \frac{3}{11}\\Thus,~\frac{3}{11} =0.27272727......\\

2. (27)^\frac{2}{3}.(125)^\frac{1}{3}\\= (3^3)^\frac{2}{3}.(5^3)^\frac{1}{3}\\=(3^2)(5)\\=45.

3. Solution,\\Here, \frac{1}{5} = 0.2\\\frac{1}{2} = 0.5\\Now, ~Irrational~ numbers~ between~ 0.2 ~and~ 0.5 ~are~ 0.2122275647.......~and~0.467858930.......\\

You can write any numbers between 0.2 and 0.5 which follow irregular patterns like this.

OR\\Examples~of~such~irrational~numbers~are~5+\sqrt{7}~ and~5-\sqrt{7} .

4. Solution,\\x^2+y^2 = (x+y)^2-2xy=5^2-2(10) = 25-20=5.\\5.~ If~x=-3~and~y=-2~are~the~solutions~of~the~equation~2x-3y=k,~then,\\2(-3)-3(-2)=k\\or, k = -6+6\\or, k = 0

You might be interested in
If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Orlov [11]

Answer:

Step-by-step explanation:

It's given in this question,

m∠2 = 41°, m∠5 = 94° and m∠10 = 109°

Since, ∠2 ≅ ∠9 [Alternate interior angles]

m∠2 = m∠9 = 41°

m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]

m∠8 + 41 + 109 = 180

m∠8 = 180 - 150

m∠8 = 30°

Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]

41 + m∠7 + 30 = 180

m∠7 = 180 - 71

m∠7 = 109°

m∠6 + m∠7 = 180° [linear pair of angles]

m∠6 + 109 = 180

m∠6 = 180 - 109

        = 71°

Since m∠5 + m∠4 = 180° [linear pair of angles]

m∠4 + 94 = 180

m∠4 = 180 - 94

m∠4 = 86°

Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]

86 + m∠3 + 41 = 180

m∠3 = 180 - 127

m∠3 = 53°

m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]

m∠1 + 41 + 53 = 180

m∠1 = 180 - 94

m∠1 = 86°

8 0
3 years ago
Convert the following into standard form<br> Y=1/6x+2
shepuryov [24]

Answer:

In the screenshot, since it won't let me do fraction form.

Step-by-step explanation:

4 0
3 years ago
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz
NeTakaya

Answer:

100 bags

Step-by-step explanation:

S.E = σ/ √n

0.1 = 1 / √n

Square both sides

0.1² = 1² / n

0.01 = 1 / n

0.01n = 1

n = 1 / 0.01

n = 100

4 0
2 years ago
Write each ratio in simplest form 3 in. to 2 ft
Degger [83]
1ft=12in\to2ft=24in\\\\3in:2ft=3in:24in=3:24=\dfrac{3}{24}=\dfrac{3:3}{24:3}=\dfrac{1}{8}=1:8
4 0
3 years ago
HELP ME PLS<br> GRADES ARE DUE TODAY
damaskus [11]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

4 0
3 years ago
Other questions:
  • Ina a class of 30 children,60% can swim. how many children cannot swim?
    7·1 answer
  • How do you do this !
    5·2 answers
  • Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b.<br> Write your answer in component form.
    12·1 answer
  • A -5/4<br> B -8/10<br> C 3/4<br> D -5/3
    11·1 answer
  • Which ordered pairs are a solution to the equation y=x+9
    14·1 answer
  • 3. Put the following decimals in order from least to greatest. Explain the method that you used. 3.7, 3.017, 3.17, 3.07, 3.71, 3
    12·1 answer
  • A movie theater holds 785 people. The theater has already sold 219 tickets. How many more tickets can be sold
    6·2 answers
  • Can someone help me? Will make you the brainiest
    8·1 answer
  • 13/5 ÷ 4/5 = ??????????​
    13·1 answer
  • How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!