Solve the given inequality and graph the solution on a number line. -x/2 + 3/2 < 5/2

Answers

Answer 1

Answer:

x > −2

Step-by-step explanation:

You need to isolate the variable. You can do this by first subtracting 3/2 from both sides of the inequality sign.

You will get -x/2 < 2/2.

Next, since x is being divided by -2, you will multiply it by -2 to undo it. Do this to both sides.

Note that when multiplying or dividing by a negative you will flip the inequality sign. '<' becomes '>' and '>' becomes '<'.

You will get x > -2.


Related Questions

How to simplify 12 to the 0 power

Answers

The answer is 1....................

Answer: 1

Step-by-step explanation:

Rule of thumb:

Anything to the POWER OF 0 will Always be 1

12^0=1

A plane takes off and climbs at a 10º angle. After flying over 12 miles of ground, what will the plane's altitude, h, be? Round to the nearest tenth of a mile.

Answers

Answer:  2.1 miles

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

Explanation:

A diagram is optional, but I find it helps sometimes. The diagram is shown below.

Opposite the 10 degree angle is h. So we consider h the opposite side.

The hypotenuse is 12. The hypotenuse is always opposite the 90 degree angle.

Apply the sine ratio to solve for h

sin(angle) = opposite/hypotenuse

sin(10) = h/12

12*sin(10) = h

h = 12*sin(10)

h = 2.08377813200317 which is approximate

h = 2.1 miles is the plane's altitude which is also approximate

Side note: 2.1 miles is equal to 11,088 feet (multiply by 5280 to convert from miles to feet).

2011. (2012?- 9).2013
2015. ( 2012-0​

Answers

Answer:

2012 - 9 = 2003

Step-by-step explanation:

2011. (2012 - 9 = 2003). 2013

2015 ( 2012 - 0 = 2012 )

Answer:

8.2013

Step-by-step explanation:

the number of students enrolled at a college is 15,000 and grows 4% each year
the initial amount A is ?​

Answers

Answer:

15,000

Step-by-step explanation:

initial amount is basically the starting amount

SUSPECT #077802
MR. MATT A MATTICS
CHARGE: MURDER
Mr. Motties has been a sworn enemy of Mr Boddy ever since they were in Boot Camo (according to him, Me
Boddy put Noir in his shampoo bottle on the night before Mattias received a prestigious award) Moties cims
that he was slipping blue pills into Boddy's vitamin containers. The only problem is. Boddy reported his
Suspicions to his doctor, and his doctor gave him on antidote - small green pilis
The number of blue pills Mr. Motties gave him wos 3 more than the number of green pils Mr Body too. The
total number of green pills and blue pills Mr Boddy took wos 17 pills. He needed to take at least 1 us for
The effects to be deadly
in your core Log, write a system of equations, then solve to find the number of blue pils Mr Body took se
Mattis telling the truth?

Answers

It’s a baby is the son in the house

Solve the linear equation 5(8x+2) -64=2(8x9) Find X

Answers

Bla bla bla your answer is x=4.95

find the value of X please help me its due in an hour !!!

Answers

Answer:

x=5

Step-by-step explanation:

3x+20 = 10x -15 (vert.opp ∠'s equal)

3x - 10x = - 15 - 20

-7x = -35

x= - 35/-7

x= 5

What do you need to know?

Answers

9514 1404 393

Answer:

  A.  One

Step-by-step explanation:

Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...

  + + + -

There is one sign change, hence one positive real root.

6 m
10 m
4 m
15 m
find the perimeter​

Answers

Answer:

Add all given lengths:

Step-by-step explanation:

6 + 10 = 16 + 4 = 20 + 15 = 35

Who know the answer of this? And can u pls explain for me?

Answers

Answer:

1.5 kg

Step-by-step explanation:

17*92 g = 1564

1564/1000= 1.564 kg

Answer:

1.75kg

Step-by-step explanation:

If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much

17 x 92 = 1564

1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg

Help plsssssssssssss

Answers

Answer:

B

Step-by-step explanation:

The hight compared to the volume should be less hight but more volume

B has the larger radius because it is wider therefore it holds more water although it shows to have less. Example) if you get a wide and short container and a skinny and long container the wide one would hold more.

Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?

Answers

Given:

The function is

[tex]f(x)=4x+9[/tex]

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set  of output values.

We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

[tex]f(-4)=4(-4)+9[/tex]

[tex]f(-4)=-16+9[/tex]

[tex]f(-4)=-7[/tex]

Putting x=-2 in the given function, we get

[tex]f(-2)=4(-2)+9[/tex]

[tex]f(-2)=-8+9[/tex]

[tex]f(-2)=1[/tex]

Putting x=0 in the given function, we get

[tex]f(0)=4(0)+9[/tex]

[tex]f(0)=0+9[/tex]

[tex]f(0)=9[/tex]

Putting x=2 in the given function, we get

[tex]f(2)=4(2)+9[/tex]

[tex]f(2)=8+9[/tex]

[tex]f(2)=17[/tex]

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

Is 12/15 greater than 1

Answers

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5 ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.

Answers

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

Question:

A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.

Answer:

The area of the square is  16 ft², so each side of the square is  4 ft.

PLEASE HELP ASAP!!

Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees

Answers

Answer :
y + z = x


Plz mark me as brainliest

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,

∠BAC + y + z = 180°          ...1

The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,

∠BAC + x = 180°        ...2

From equations 1 and 2, then we have

∠BAC + y + z = ∠BAC + x

y + z = x

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

9/10 = d/6.4 what does d equal

Answers

d=5.76

.................

need help with this.​

Answers

Step-by-step explanation:

put some x values into the equation

i.e :     -2, -1, 0 ,1 ,2

3/5 (-2) +2 = 4/5      (-2, 4/5)

3/5 (-1) +2 = 7/5        (-1, 7/5)

3/5 (0) +2 = 2           (0, 2)

3/5 (1) +2 = 2.6           (1, 2.6)

3/5 (2) +2= 3.2          (2, 3.2)

Then plot these on the graph as corodinates with the x values  

3. The sum of two numbers is 17. The difference between the larger number and the
smaller number is 7. What is the value of the smaller number?


Answers

Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24          

x = 12              (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17      

y = 5                (Subtract 12 from both sides)

So, the smaller number is 5.

Find the sides and angles please help me

Answers

Answer: if this uses the Pythagorean theorem then it’s the square root of 83.24

Step-by-step explanation: the formula is a^2+b^2=c^2 the hypotenuse is c^2

how do I solve this?​

Answers

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values

[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

Area of a square is 196 cm²

. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by x

centimeters, and decreasing the breadth by y centimeters, find the area of

the rectangle in terms of x and y.​

Answers

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

4x + 4y = 20
2x - 2y = 2 .

Answers

Answer: Can you tell me how do you want it answered?

Step-by-step explanation:

Need help with simple ratio will make brainliest

Answers

X=1 and Y=3!!!!!!!!!

What is the greatest common factor for the following ratio, 7 : 56

Answers

Answer:

7

Step-by-step explanation:

-2 (x - 3) + 6 = - (x + 5)
Solve for x and SHOW WORK please :)

Answers

Answer:

x=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

-2x+6+6=-x-5

-2x+x=-5-6-6

-x=-17

x=17

If Ishan scored 789 out of 800 in his exams how much did he score in percentage​

Answers

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Which equation represents a line which is perpendicular to the y-axis?

Answers

Answer:

The real answer is y=5

Step-by-step explanation:

because its horizontal

y=5  represents a line which is perpendicular to the y-axis

What is Straight line?

A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects

We need to find the equation which  represents a line that is perpendicular to the y-axis

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In the given options

x=-6

y=x-4

y=5

and x=-2y

The only horizontal line is y=5

Hence, y=5  represents a line which is perpendicular to the y-axis

To learn more on Straight lines click:

https://brainly.com/question/29223887

#SPJ2

How do you solve g(x)=x^2 - 324

Answers

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as Lesley. Find the present age of each.

Answers

Answer:

Gusion = 2years

Lesley= 40years

Step-by-step explanation:

Let Guison age be x

Let Lesley age be y

If the sum of the ages of Gusion and Lesley is 42, then;

x+ y =42 ... 1

Four years ago

Guison age = x - 4

Lesley age = y - 4

If four years ago, Gusion was twice as old as Lesley, then;

x - 4 = 2(y-4)

x - 4 = 2y - 9

x - 2y = -9+4

x - 2y = -5 .... 2

Substract 1 from 2;

y + 2y = 1+5

3y = 6

y = 2

From 1;

x = 42 - y

x = 42-2

x = 40

Hence present age pf Guison is 2 years

Present age of Lesley is 40 years

Use two of the equations below to write a system of equations with no solution.
Y = 3x + 1
Y = 3x - 1
-Y= -3x + 1

Answers

Answer:

Y = 3x + 1

Y = 3x - 1

Step-by-step explanation:

A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.

Other Questions
John bought 18 pizzas. Mitchel bought 12 pizzas. What percent of the total number of pizzas Mitchel buy? The school bus arrives late 2/7 of the time. The probability that it rains during a hurricane is 1. Madeline is a research assistant for her favorite biology professor, Dr. Ogechi. Dr. Ogechi is interested in studying the effects of aquarium temperature on the number of offspring produced by a certain species of fish.Madeline knows from her economics class that to isolate the effects of a particular phenomenon, all other things must remain the same. In Latin, this is referred to as____. a. pluribus unum.b. dum versaste, nox fit.c. onay oremay atinlay.d. ceteris paribus.In order to keep all other things the same and isolate the effects of one particular variable in the physics experiment, Madeline will want to do which of the following? A. Hold constant the material used for the body of the car. B. Make sure the incline is the same angle for each trial. C. Clean up after her experiment carefully. Give personal answers. Remember to use the yo form of the verb.The yo form of tener is1. Cuntos aos tienes?2. Tienes ojos azules, verdes o castaos?3. Tienes el pelo castao, negro o rubio?4. Cuntos hermanos tienes? Which best shows that Candice has made a personal connection to understand August's character? I understand how awkward August feels. Sometimes I get really nervous and quiet around new people. I am really loud around new people. I try to cover up my shyness by being very funny and telling jokes. August should not be so quiet around the new kids. If he would just talk, the others will get to know him, and they will be friends. Jack Will and Charlotte were not very considerate of August's feelings. New kids do not like when people ask lots of questions. out of 225 people 110 liked the veggie burger what percent of people who surveyed liked the veggie burger? i need help btw i am in middle school i will give you brainliest whoever answers correct first!! What would happen to the geosphere if there was no hydrosphere? Think of weathering and erosion there are more than 3 gallons of gas in berks car help pls A population of rabbits doubles every 4 months. If the population starts out with 8 rabbits how many will there be in 1 year Guys pls help me!!!!!! plz help and dont take the points Which graphic organizer best represents asexual reproduction? Which graphic organizer best represents sexual reproduction? Explain your answers. Why dont we include viruses when we discuss reproduction? 8x + 3 = ? What answer Nyasia had 16 M&M's on her desk. She had 2 groups of M&M's with xamount in each, and another group with 4 M&M's. How many M&M's werein the identical group?* What can be entered in a search box to find data?data sizea namerelevancepurpose How are humidity and precipitation related?A. When humidity is low, the chance of precipitation is high.B. When humidity is high, the chance of precipitation is high.C. When humidity is high, the chance of precipitation is low.D. Changes in humidity do not cause precipitation. Plz A total of 41 and 1/3 tons of gravel was split between four dump trucks. How many tons of gravel did each truck hold? What is the difference between an activity inventory and an object inventory?