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
rodikova [14]
3 years ago
6

Which of the following is the solution to the compound inequality below? 5/2+x_>1/3 or x+2 < -29/6 A.x_>-2/3or x <-2

05/36 B. x_>-13/6 or x<_41/6 C. X_>-2/3 or x<_ 250/36 D.x_>-13/6 or x< -41/6
_< , _> means greater than or less than.
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

D. x ≥ -13/2 or x < -41/6

Step-by-step explanation:

  • 5/2+x ≥ 1/3 ⇒ x ≥ 1/3 -5/2 ⇒ x ≥  - 13/2

or

  • x+2 < -29/6 ⇒ x < -29/6 - 2 ⇒ x < -41/6

So combined the answer is:

  • x ≥ -13/2 or x < -41/6

Option D is correct

You might be interested in
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me
mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

P=6(6)=36\ units

3 0
3 years ago
Keisha pumped 6 gallons of water into her pool each minute for 48 minutes what was the total change in the amount of water in th
Eduardwww [97]

The total change in the amount of water in the pool is 288 gallons.

<h3>What is Volume?</h3>

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Here, Rate of water pumped into her pool = 6 gallons / minute.

          Total Duration = 48 minutes

Total amount of water = Rate X Time

                                     = 6 X 48

                                     = 288 gallons

Thus, the total change in the amount of water in the pool is 288 gallons.

Learn more about Volume from:

brainly.com/question/1578538

#SPJ1

3 0
2 years ago
NEED HELP ASAP
Stels [109]
<span>9,    12,    19,    30,    ...

</span>formula for the nth term is;

<span>2n^2 + 3n - 10</span>
6 0
2 years ago
What is the surface area of a ball with a diameter of 8 inches?
asambeis [7]
SA=4pir^2
d/2=r
8/2=4
r=4
SA=4pi4^2
SA=4pi16
SA=64pi in^2
if want, aprox pi=3.14
SA=200.96 in^2
3 0
3 years ago
For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 40 patients, determine ap
QveST [7]

Answer:

Approximately 7 people.

Step-by-step explanation:

Make a proportion of x/6 and divide 40 by 6. We get 6.23333...

This is approximately 7 people.

8 0
3 years ago
Other questions:
  • Work out the value of 3x + 2y then x = 5 and y = 4
    5·1 answer
  • Here are the front elevation, side elevation and plan of a 3D shape, what diagram shows the 3d shape from these photos?
    11·1 answer
  • True or false? In a two-column proof, the right column contains a series of deductions.
    6·2 answers
  • Find the square of the radical expression of 121
    11·1 answer
  • Write y=1/6x+7 in standard form using intergers.​
    15·1 answer
  • Help<br><br><br> .........................................
    13·1 answer
  • Human beings of thy world--.I have thy announcement from King of the Police Kyle himself. Here he is now!
    9·1 answer
  • PLS HELP ME FAST PLS !!!!!!!!!!!
    13·1 answer
  • Will mark as brainliest plz help​
    14·2 answers
  • Water freezes at 0^\circ0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!