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
shepuryov [24]
2 years ago
6

Solve the following inequality for n. Write your answer in simplest form. 1+4(-6n-4)<10n+4-n

Mathematics
1 answer:
liberstina [14]2 years ago
8 0

Answer

n>- 19/33

1 Simplify  10n+4-n10n+4−n  to  9n+49n+4.

1+4(-6n-4)<9n+41+4(−6n−4)<9n+4

2 Expand.

1-24n-16<9n+41−24n−16<9n+4

3 Simplify  1-24n-161−24n−16  to  -24n-15−24n−15.

-24n-15<9n+4−24n−15<9n+4

4 Add 24n24n to both sides.

-15<9n+4+24n−15<9n+4+24n

5 Simplify  9n+4+24n9n+4+24n  to  33n+433n+4.

-15<33n+4−15<33n+4

6 Subtract 44 from both sides.

-15-4<33n−15−4<33n

7 Simplify  -15-4−15−4  to  -19−19.

-19<33n−19<33n

8 Divide both sides by 3333.

-\frac{19}{33}<n−

​33

​

​19

​​ <n

9 Switch sides.

n>-\frac{19}{33}n>−

​33

​

​19

​​  

Done

You might be interested in
A glass of water was seven- eighths of a liter. With a 6 liter jug, how many glasses could you pour? Do you have to multiply div
ivolga24 [154]

Let us suppose, we pour x glass of water.

The given jug is of 6 liters. And the glass of water was seven- eighths of a liter. Hence, we have the below equation

\frac{7}{8} x= 6

Now, in order to solve for x, we will divide 6 with 7/8. So, we have to divide.

x=\frac{6}{7/8} \\&#10;\\&#10;x=\frac{48}{7} \\&#10;\\&#10;x=6.9

Hence, we can pour 7 glass of water. But the 7th glass is not full of water. It is partially full.

5 0
3 years ago
What base-ten number is 14 tens and 4 ones?¿
MrMuchimi

Answer:144


Step-by-step explanation:


7 0
3 years ago
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the<br> origin?
gtnhenbr [62]

Answer:

(-12, -12)

Step-by-step explanation:

Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.

-4×3=-12

Hope this helps!!

3 0
2 years ago
Choose the triangle that seems to be congruent to the given one.
arsen [322]

AFB, the sides are similar

6 0
3 years ago
What is the common ratio in this geometric series?
Lerok [7]
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.
4 0
3 years ago
Other questions:
  • What is the sum of 7452816653 times 23534 and divided by 1423
    8·1 answer
  • 812,000 gallons of water in an olympic training center's pool. express this number in scientific notation.
    13·2 answers
  • -3+p/7=-5 what is p​
    9·1 answer
  • HELP ME PLZ PLZ PLZ!HELP ME PLZ PLZ PLZ!
    7·1 answer
  • Find an equivalent ratio in simplest terms 42:90
    12·1 answer
  • HELP ME OUT HERE PLEASEEEEEEEEE
    6·1 answer
  • O nenes help please
    11·1 answer
  • Simplify 32 ⋅ 35. (4 points)<br> 37<br> 310<br> 97<br> 910
    14·2 answers
  • Question 9 of 10
    6·1 answer
  • How do you find the frequency in statistics?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!