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
nlexa [21]
2 years ago
14

Solve -2/3x > 8 or -2/3x < 4.

Mathematics
1 answer:
vekshin12 years ago
8 0
<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

You might be interested in
A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\  \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\  \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\  \\ y(y-7) = 13(2y-7) \\  \\ y^2-33y+91 = 0 \\  \\ y = 29.96 \\  \\ x = y-7 = 29.96-7 = 22.96
Rounded to nearest tenth gives:
x = 23 hours
6 0
3 years ago
Find the slope of the line
grandymaker [24]

Answer: -4/5 or -0.8

Step-by-step explanation:

m= change in y / change in x

-4/ 5

8 0
3 years ago
Vicky grew 15 flowers with 3 seed packets. How many seed packets does Vicky need to have a total of 20 flowers in her garden?
asambeis [7]

Answer:

definitely 4

Step-by-step explanation:

15/3 is 5 if u add 4 packets then I should he 20

7 0
3 years ago
PLEASE HELP!! I’ll make you the brainlyest!!!
STatiana [176]

Answer:

15

Step-by-step explanation:

Can't really see the graph clearly but the range looks like its from 40-70 so 30 and the amplitude is half of that so 15.

6 0
2 years ago
How in the heck do I do this?​
Fudgin [204]

The measure of a triangle is 180 degrees. In other words the sum of the angles of a triangle is 180 degrees

To solve for x set all of the expressions of angles equal to 180 and isolate x

11x - 3 + 7x + 5 + 13x - 8 = 180

31x + (- 6 + 6) = 180 + 6

31x/31  = 186 / 31

x = 6

To find the measure of each angle plug 6 into the x into each individual expression

Hope this helped!

6 0
3 years ago
Other questions:
  • Line XY and line MP are coplanar. Which statement shows that the lines are parallel?
    13·1 answer
  • Show that the number is rational by writing it as a quotient of two integers--- the number is 1.
    5·1 answer
  • Find what the question asks. 200 points. Will mark brainleist
    11·2 answers
  • Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
    7·1 answer
  • 55.4<br> The 5 in the ones place is. The value of the 5 in the tens place
    15·2 answers
  • A slide has a diagonal of 10 feet and covers a distance of 8 feet across the ground. How many feet high is the slide at its high
    11·1 answer
  • In a local​ town, 4/5 of the​ voting-age population is registered to vote. If 7/8 of the registered voters voted in the election
    13·1 answer
  • 1. m- 7 5.5
    11·1 answer
  • 13. You are going camping. The cost for renting a cabin at
    8·1 answer
  • What is 3(c−4)=​___c−​___ its really hard for me right now
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!