Solve the inequality 3x + 4 < 22

Solve The Inequality 3x + 4 &lt; 22

Answers

Answer 1

Answer:

3х<18

х<6

хє(-infinity ;6);

Answer 2

Answer:

x<6

Step-by-step explanation:

3x+4<22

First, subtract 4 from both sides of the inequality.

3x-4<22-4

This cancels out the 4, so the 3x is isolated

3x/3<18/3

Finally, simplify to get the answer.

x<6

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Related Questions

The graph of the function, f, is shown. What is the domain of f?

Answers

Answer:

D : [-2,0) U (0, infinity) ; -2<=x<0 U x>0

Please and thank you

Answers

The picture is to blurry sorry
too blurry i can’t read nun

Find the value of x:

Answers

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!

The diagram was constructed with straightedge and compass tools.


Select all segments that have the same length as segment AC.

Answers

Answer:

AB and AC

Step-by-step explanation:

Because they are the same length

How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.

Answers

Answer:

1 3/10 pounds of candy. Or around 1 pound

Step-by-step explanation:

6 1/2= 6.5

6.5/5=1.3

1.3 as a fraction is 1 3/10

Solve the problem.
Two forces of 575 newtons and 271 newtons act at a point. The resultant force is 657 newtons. Find the angle between the forces.

Answers

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

Hi-Tech, Inc., is a computer training company serving metropolitan Toronto, Canada. The firm contracts a group of part-time instructors to teach a variety of courses concurrently at its downtown location. While demand is so high that any class offered will be filled immediately, Hi-Tech is looking at only two courses at this time: Introduction to Computers (ITC) and Creation of Web Pages (CWP). Each ITC class requires 7.5 hours of preparation/instruction time and contributes a profit of $720, whereas each CWP class calls for only 3 hours and contributes $300. Available time for these two courses is limited to 56 hours a day. There is a restriction on the maximum number of trainees that can be efficiently handled. More specifically, at most 100 students can be accommodated on a daily basis without putting a strain on the facility and support staff. Additionally, each course has a class size limit - 6 for ITC and 12 for CWP. Hi-Tech would like to maximize the daily total profit from both courses so that it could offer certain other courses on a "goodwill" basis. Formulate an AILP for management to decide how many classes should be scheduled for each subject daily
What is the objective function?

Answers

Answer:

The  AILP for management to decide  how many classes should be scheduled for each subject daily is

The objective function is mathematically represented as

       [tex]M  =  P_c  *  a  + P_w  *  b[/tex]

=>    [tex]M  = 720  a  + 300  b[/tex]

Now the first constraints to this functions is

     [tex]t_c  *  x  + t_w * y  \le t_a[/tex]

=>  [tex] 7.5  x  + 3 y  \le 56[/tex]

Another constraints to this function is

     [tex]k  x  +  u  y  \le  N[/tex]

=>    [tex]6  x  +  2  y  \le  100[/tex]

Here x and  y are the number of classes    

Step-by-step explanation:

From the question we are told that

   The time required for each ITC class is  [tex]t_c  = 7.5 \ hours[/tex]

   The profit of each ITC class is  [tex]P_c  =  \$ 720[/tex]

   The time require for  CWP  class is  [tex]t_w  =  3 \  hours[/tex]

    The profit for   CWP  class is  [tex]P_w  =  \$ 300[/tex]

   The total time available  is [tex]t_a  =  56 \  hours / day[/tex]

   the maximum number of trainee that can be accommodated in a daily basis is   [tex]N  =  100[/tex]

   The class size limit for  ITC  is  [tex]k  =6[/tex]

    The class size limit for CWP is  [tex]u  =12[/tex]

Generally the aim of Hi-Tech is to maximize profit

So the objective function will be a function that maximizes profit

Generally the objective function is mathematically represented as

       [tex]M  =  P_c  *  a  + P_w  *  b[/tex]

=>    [tex]M  = 720  a  + 300  b[/tex]

Now the constraints to this functions are

     [tex]t_c  *  x  + t_w * y  \le t_a[/tex]

=>  [tex] 7.5  x  + 3 y  \le 56[/tex]

Another constraints to this function is

     [tex]k  x  +  u  y  \le  N[/tex]

=>    [tex]6  x  +  2  y  \le  100[/tex]

Here x and  y are the number of classes

     

   

The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

I WILL PICK YOU BRAINLIEST PLS, help with this! no one has really answered any of my questions so if you could help me with this on that would be great

Answers

Answer:

A = 28 cm^2 (4+24)

B = 34 cm^2 (40-6)

C = 96 cm^2 (150-54)

D = 40 cm^2 (1/2(8*5) + 1/2(8+5))

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have distance and time how do you find speed?

Answers

Answer:

Divide distance by time.

Step-by-step explanation:

Speed is distance over time. Therefore, dividing distance by time will get you speed.

Answer:

The formula to solve for speed is s=d/t.

Hope this helps you out a bit...have a great day :3

Help please will give brainlest!!!

Answers

Answer:

1.55 or 31/20 which is 1 11/20 gallons

Step-by-step explanation:

"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?

Answers

Answer:

Regular Polygon

Step-by-step explanation:

A polygon is a plane (two-dimensional) shape with straight sides.

Examples include triangles, quadrilaterals, pentagons, hexagons, etc.

A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.

Which Property of Addition does 9 + 0 = 9 illustrate ? A. Distributive Property B. Identity Property C. Zero Property D. Commutative Property​

Answers

Answer:

B. Identity Property

What are the major elements present in carbohydrates?
C,H,O
C,H,O,N
C,H,O,N,P
C,Fe,Si​

Answers

Answer:

i think its C, H, O but i could be wrong

Step-by-step explanation:

Answer: Carbon, Oxygen And Hydrogen

Step-by-step explanation:

Name an irrational number ( in radical form) located between 11 and 12. Explain answer.​

Answers

Answer:

square root of 133

Step-by-step explanation

Pick a number between 11 and 12

Square the number (To the 2nd power)

Then add like 1 or something so the number is still between 11 and 12

Then use a calculator and do the square root of the number to check if it is still between 11 and 12

) Samantha has 6/7 of a apple pie. Drayden has 3/7 of a apple pie. How much pie do they have altogether? (Make sure to simply if possible) *
10 points
1 and 2/7
9/14
3/7
9/10

2) After her birthday party, Kelsey has 8/9 of pizza left over. Her best friend Savanna ate 1/9 of the leftover pizza. How much of Kelsey's pizza is left? *
10 points
10/9
7/9
None
1/3


3) Simplify the following fraction: 9/12 *
10 points
4/6
9/12 - You can't simplify
1/2
3/4

Answers

Answer: 1 2/7, 7/9,3/4

Step-by-step explanation: 9/7 you had to make a whole then make the fraction 2/7. 7/9 you literally just had to subtract 8-1 to gt 7 and because the denominator didn't need to change it so that makes it 7/9. And the last one 9/12 well 3 can go into 9 and 12 evenly. For 9 it goes in 3 times and for 12 it goes in 3 to any you get 3/4.

equation of the horizontal line that passes through the point (-5,1)

Answers

Answer:

y = -1.

Step-by-step explanation:

The value of y  is -1 as it passes through the y axis.  The values of x on the line are infinite.

This line's equation is y = -1.

-1 would be your answer.

Find the product of 7 and 4.76.

Answers

Answer:

33.32

Explantion: 7x4.76

I think the answer is 33.32 because I solved it a few times and got the same answer

The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass Index in Children" (International Journal of Cardiology [2009]:1-7) described a study in which the left atrial size was measured for a large number of children age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.4 mm and a standard deviation of 4.2 mm.Approximately what proportion of healthy children has left atrial diameters less than 24 mm?Approximately what proportion of healthy children has left atrial diameters greater than 32 mm?Approximately what proportion of healthy children has left atrial diameters between 25 and 30 mm?For healthy children, what is the value for which only about 20% have a larger left atrial diameter?

Answers

Answer:

so you need the value for the 20% right ?

Step-by-step explanation:

which inequality statement describes the two numbers on a number line -7 and a number 12 units to the right of -7

Answers

Answer:2

Step-by-step explanation:

Explain how you can determine that the following
system has one unique solution – without actually
solving the system.

2x+y = 4
2y = 6- 2x

Answers

you can graph it with the calculator or on graph paper and see where the two lines would cross
you would put them in slope-intercept form (y=mx+b)

so
2x + y = 4 would become
y = -2x + 4

and

2y = 6 - 2x becomes
y = -x +3

graph them and see where they cross. hope this helps!!

help me please I will mark as top answer ​

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

your welcome

3. Reason Can you write
3+ 4+ 7 = 14 as a multiplication
sentence? Explain.

Answers

Answer:

3 + 4 + 7 = 14

7 + 7 = 14

2(7) = 14

Step-by-step explanation:

Do we use the same numbers? If not just find out what equals 14 when you’re multiplying for example 7x2=14 or 14x1=14

Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.
Part A: Determine the values of M, N, V and R.

Answers

Answer:

m: 88

n: 112

v: 88

r: 112

Step-by-step explanation:

Help easy question......Branliest reward

Answers

Answer:

78

Step-by-step explanation:

Answer:

y=42.91

Step-by-step explanation:

cos 35=y/53

0.81=y/53

y=0.81*53

y=42.91

Please help me this brought my grade down and I need to get it up by next week please please help im giving all my points away for it

Answers

Answer:

Step-by-step explanation:

Given that <2=<6.
Which theorem proves that line d is parallel to line e.

A. Alternate interior angle theorem
B.Converse of the alternate exterior angle
theorem
C.Converse of the alternate interior angle
theorem
D.Alternate Exterior angle theorem

Answers

Answer: B . Converse of the alternate exterior angle theorem.

The converse of the alternate exterior angle proves that line d is parallel to line e which is the correct answer would be an option (C).

What are Alternate Interior Angles?

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

According to the alternate exterior angles theorem, if two parallel lines are intersected by a transversal, the alternate exterior angles are congruent. In light of this, the converse of the alternate exterior angle theorem would state that if the two outside angles are congruent, the lines that the transversal cuts must be parallel.

The graph indicates that the outer angles are congruent (both equal x) shows that the lines are parallel.

Therefore, the converse of the alternate exterior angle proves that line d is parallel to line e.

Learn more about Alternate Interior Angles here:

brainly.com/question/2125016

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If -7 is added to a number, the result is 12. What
is the number?
A. -5
B. 5
C. 12
D. 19

Answers

Answer:

D. 19

Step-by-step explanation:

-7+19=12

Answer:

D. 19

Step-by-step explanation:

Find H, help me and get brainlist.​

Answers

Answer:

it is 19

Step-by-step explanation:

determine which operation is needed in the blank so that the expression simplifies to 25.

40_10_4_(8_2_3)_5^2

Answers

Answer:

÷ - × ÷ - +

Step-by-step explanation:

40 ÷ 10 - 4 × (8 ÷ 2 - 3) + 5^2

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What is the equation to Pi in math? Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy? Read the passage about the life of Clara Barton.Clara Barton was born on December 25, 1821, in Oxford, Massachusetts. As a child, Clara was very shy. She first found her calling while caring for her brother after he fell from a rafter in their barn. Despite the fact that most teachers were still men at the time, Clara became a teacher at the age of 15, as well as one of the first women to work for the federal government at the US Patent Office. In 1881, Clara opened the first chapter of the American Red Cross in the United States and served as its first president. The American Red Cross is a relief organization that offers assistance to victims of such disasters as the 1889 Johnstown Flood and the 1900 Galveston Flood. She served as president for 23 years before resigning amidst claims that money was being mishandled internally.The Civil War was a bloody war fought between the years 18611865. During the war, Clara sought to help the soldiers in any way she could. She collected needed supplies and distributed them to the Union Army. These supplies included items such as food, bedding, and clothing. However, Clara was not content to sit on the sidelines; she often risked her own life to care for soldiers wounded in battle. For these deeds, she was nicknamed the "Angel of the Battlefield. When the war ended in 1865, Clara worked for the War Department helping in various ways.Which details from the passage could be included in a yearbook page about Bartons accomplishments?Bartons shyness as a young childBartons birth date and birthplacethe opening of the Red Crossthe supplies the Red Cross used True or false: Roger Williams and William Bradford agreed with each other? Which sentence describes a key difference between a historical timeline and a history brochure?A timeline organizes facts by topic while a brochure organizes facts chronologically.A timeline includes facts about events while a history brochure offers mostly opinions.A timeline incorporates pictures and captions while a brochure only uses text.A timeline covers many events while a brochure usually focuses on a single event Is mass conserved in chemical reactions? a single frictionless roller coaster car of mass m=750 kg tops the first hill with speed v=15 m/s ar height h =40m as shown 1) Find the speed of the car at B and C 2) if mass m were doubled, would the speed at B increase, decrease, or remain the same? Can somebody helpp ??? I need help in solving this problem. I need it to be factored by the GCF. I know the answer is (x-3)(5x-1), but I need the work.5x^2-16x+3I also have 2x^2+7x+5 and the answer to it is (2x+5)(x+1), but I also need to work too. What property is shown in the statement?a + (b + 12) = (b + 12) + a Show work, and find the product.4x5(11x3+2x2+9x+1) Help the picture is above Ill mark you as the brainliest please show the work too. need help with 3 easy math problems 1 pointItem 4 is unpinned. Click to pin.Which of the following correctly describes how epithelial tissues gets nourishment?From blood vessels deep to the basal layer.Epithelial tissue does not need nourishment, it is dead.From blood vessels scattered throughout the cells.From the air surrounding the apical surface. -9.5 - (-8) -6.5helppppppppppp -Which of the following is an example of academic integrity?A. You work on each assignment mostly by yourselfB. You don't copy work or allow others to copy your workc. You look up answers on the internet without citing the sourceD. You work with close friends on assignments without instructor approval Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much All students perceive poor grades as disappointing.Please select the best answer from the choices providedF Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24 Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustins profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened $ 5100 ) $ 3300 What type of random variable is the number of new accounts opened