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
Luba_88 [7]
3 years ago
12

Solve the inequality: 2[(2y-1)+y] less than or equal to 5(y+3)

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
2[(2y-1)+y]\leq5(y+3)\\\\2(2y-1+y)\leq5(y+3)\\\\2(3y-1)\leq5(y+3)\ \ \ |use\ distributive\ property:a(b\pm c)=ab\pm ac\\\\2(3y)-2(1)\leq5(y)+5(3)\\\\6y-2\leq5y+15\ \ \ |add\ 2\ to\ both\ sides\\\\6y\leq5y+17\ \ \ \ |subtract\ 5y\ from\ both\ sides\\\\\huge\boxed{y\leq17\to y\in(-\infty;\ 17]}
You might be interested in
4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in
Firlakuza [10]

Answer:

<u><em>4 : </em></u> Coordinate of Q = (\frac{1}{5} ,\frac{-12}{5} )

<em><u>5 : </u></em>  Coordinate of point A = (-2,-2)

Explanation :

4)  Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = (\frac{1}{5} ,\frac{-12}{5} )


5)   AB:BC = 3:4

A = (x,y),   end point

B =  (4, 1)  

C = (12, 5)      end point

So, m = 3   &   n  = 4

x₁ = x ,  y₁ = y   , x₂=12  & y₂ = 5

Apply section formula we get

4 = (36+4x)/7                              &       1 = (15 + 4y)/7

28= 36 + 4x                                        7 = 4y + 15

4x =-8                                                         4y =-8

x =  -2                                                           y = -2

5 0
3 years ago
How do you figure out this word problem: Peter has 6 sweaters, 4 pairs of jeans and 3 pairs of shoes. How many outfits can Peter
Aleksandr [31]
\underbrace{6}_{sweaters}\times\underbrace{4}_{jeans}\times\underbrace{3}_{shoes}=\underbrace{72}_{outfits}
7 0
3 years ago
Read 2 more answers
Is the product of two integers positive, negative , or zero ? How can you tell?
Firlakuza [10]

Answer:it depends on the numbers you are using.

Step-by-step explanation:

6 0
3 years ago
The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the level of cobalt radiation in a c
sweet [91]

Answer:

  35 years

Step-by-step explanation:

The proportion p that remains after y years is ...

  p = (1/2)^(y/5.27)

In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...

  .01 = .5^(y/5.27)

  log(0.01) = y/5.27·log(0.5) . . . take logs

  y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years

5 0
3 years ago
For the orchestra concert, the orchestra director has asked that everyone wear either black pants or a black skirt. Five times a
asambeis [7]

Answer:

A

Step-by-step explanation: 5x10 =50+10 =60 the number of students


8 0
3 years ago
Read 2 more answers
Other questions:
  • Help please i’ll give brainliest
    12·1 answer
  • Solve each system of equations by writing a new system that eliminates one of the variables.
    5·1 answer
  • Find y. A. 63–√ B. 33–√ C. 23√3 D. 3
    7·1 answer
  • At a grocery store a 18 oz box of cereal costs $5.22. What is the price per ounce?
    13·2 answers
  • 8. Beatrice has 20 coins in quarters and nickels. The total value of her coins is $2.20. How many mickels and quartiers
    11·2 answers
  • Katie runs 3 miles in 28 minutes. At this pace, how long will it take her to run 13.1 miles? Round to the nearest minute.
    15·2 answers
  • If b = the number of boys, which algebraic expression represents the phrase
    7·1 answer
  • Please helppppp it’s due soon and I’m already failing my class!!!
    10·1 answer
  • At the end of a snowstorm, Idil had 17 inches of snow on her lawn. The
    6·2 answers
  • Find the total amount you will pay given an original price of $499.95 and tax rate of 4%
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!