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
BartSMP [9]
3 years ago
9

2 u + 12 < 23 0,1 d + 8 > 0 3 - 4 r > 7 13 < 2 z + 3 6 ≥ 9 - 0, 15 i

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

Part 1) u< 5.5  

Part 2) d > -80

Part 3) r < -1

Part 4) z>5

Part 5) i\geq 20

Step-by-step explanation:

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

Solve each inequality for the indicated variable

Part 1) we have

2u+12

subtract 12 both sides

2u< 23-12\\2u

Divide by 2 both sides

u< 5.5

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

0.1d+8 >0

subtract 8 both sides

0.1d > -8

Divide by 0.1 both sides

d > -80

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

3-4r> 7

Subtract 3 both sides

-4r>7-3\\-4r>4

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

r < -1

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

13< 2z+3

Subtract 3 both sides

13-3

Divide by 2 both sides

5

Rewrite

z>5

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

6\geq 9-0.15i

Subtract 9 both sides

6-9\geq -0.15i\\-3\geq -0.15i

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

20\leq i

Rewrite

i\geq 20

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

You might be interested in
What is the measure of abc in the figure below?
rusak2 [61]
We need to see the figure to answer the question
3 0
3 years ago
Read 2 more answers
Help lol..............<br><br> Which table below does not represent a function?
vlabodo [156]

Answer:

Option 2

Step-by-step explanation:

if an input produces more than one output, the table does not represent a function.

8 0
3 years ago
A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 ya
Zanzabum

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

7 0
3 years ago
Find the volume of the figure.<br> A 1,2300 CM^3<br> B 2,700 CM ^3<br> C 44 CM^3<br> D 300 CM^3
Lemur [1.5K]
B) 20 Multiplied by 15 multiplied by 9 is equal to 2,700cm cubed
5 0
3 years ago
What is the answer 14 - (4 + 3) - 2 =
Virty [35]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The ratio of girls to boys in Liza’s classroom is 5 to 4 how many girls are in her classroom if there is a total of 27 students
    13·2 answers
  • A rational number can be written as the ratio of on BLANK to another.
    15·1 answer
  • Which of these nunbers is composite? 3,5,19,71,85
    13·2 answers
  • Bob is taking his son to look at colleges. The first college they plan to visit is 150 miles from their home. In the first hour
    5·1 answer
  • 7.2 times 1/9 I need help!
    6·2 answers
  • Which of these systems of linear equations has an infinite number of solutions?
    15·1 answer
  • Wich one is bigger 71 ounces or 4.5 pounds ​
    15·1 answer
  • What is the domain of 3x^2-x-2
    7·1 answer
  • Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
    14·1 answer
  • What are lines that cross at 90 degrees is called
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!