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
Akimi4 [234]
3 years ago
9

5 \leqslant 5n - 1" align="absmiddle" class="latex-formula">
solve the inequality for n and write the answer in simplest form
Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
Hello there!

n - 5 ≤ 5n - 1

Solve for n

Let's start by subtracting 5n from both sides

n - 5 - 5n ≤ 5n - 5n - 1

n - 5 - 5n ≤ -1

We need to transfer -5 on the other side, we can do that by adding 5 on both sides

n - 5 - 5n + 5 ≤ -1 + 5

n - 5n ≤ -4

-4n ≤ -4

Finally divide both sides by -4

-4n/-4 ≤ -4/-4

n ≥ -1   (This is the answer)!

Do you know why I changed the sign?


 A lot of students failed to remember that rules, which is:
When you are solving an inequality, if you divide both sides by a negative sign, you MUST change the symbol as well. If it was this <, it will change to this >. Got it? Cool!



I hope the steps are clear to understand. If you have questions, feel free to let me know...

As always, I am here to help!
You might be interested in
What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120?
Natasha_Volkova [10]
1250x.08= 100+1250= 1350 / 120 is 11.25 so 11 months of paying $120 leaves a $30 12th month payment.
7 0
3 years ago
Read 2 more answers
In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
What is the angle in the diagram below?
marishachu [46]

Answer:

148°

Step-by-step explanation:

x = 180 - 32 = 148°

(Supplementary angles)

6 0
3 years ago
3) Round answer to the nearest hundredth. *
DochEvi [55]

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

5 0
2 years ago
What are the 3 angle measures in the triangle shown below
7nadin3 [17]

9514 1404 393

Answer:

  B.  39°, 106°, 43°

Step-by-step explanation:

The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.

  (3x +1) +(11x -4) +(5x -7) = 180

  19x -10 = 180 . . . . . collect terms

  19x = 190 . . . . . . . . add 10

  x = 10 . . . . . . . . . . . divide by 19

__

Then the three angle measures are ...

  • 3·10 +1 = 31
  • 11·10 -4 = 106
  • 5·10 -7 = 43

The appropriate choice is ...

  B.  31°, 106°, 43°

6 0
2 years ago
Other questions:
  • Least common denominator of 7/9 and 2/3
    6·2 answers
  • Simplify. Show your work. <br><br> ( 6x-2 ) ^2 ( 0.5x )^4
    12·1 answer
  • Sari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have?
    11·2 answers
  • Is 64in less than greater than or equal to 5ft
    11·1 answer
  • Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane? On
    7·2 answers
  • I need help finding slope for m
    7·2 answers
  • Pls help! will give brainlist!
    15·1 answer
  • Graph ​ y=−5/6x−4 ​.<br><br> Use the line tool and select two points on the line.
    8·1 answer
  • PLEASE HELP! 20 PTS
    14·1 answer
  • Combining like terms of 10x - 3+ 11 - 2x + 3x, simplifies the expression to​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!