How do you solve an inequality, then verify the solution by subsituting 3 different numbers?

Answers

Answer 1

Answer and Step-by-step explanation:

To solve an inequality, you must solve for the variable. Let's look at an example:

4x + 2 > 10

We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.

(Solve as if you were solving a regular equation)

4x > 8

x > 2

We get x > 2 as our inequality.

To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.

If when solving the inequality and you have to divide by a negative, the sign will change. Ex:

-5x > 25

x < -5

To show that the sign should switch, let's solve it this way.

-5x > 25

0 > 25 + 5x       Add the 5x to both sides.

-25 > 5x            Subtract the 25 from both sides

-5 > x                Divide by 5 from both sides.

As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.

#teamtrees #PAW (Plant And Water)


Related Questions

Please help. Josh threw darts at a dartboard 10 times. Assume that he threw the darts randomly and did not aim. Based on his results (the picture), what is the experimental probability that Josh's next dart will land in the center circle?​

Answers

Answer:

1/10 or 10%

...........

Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?​

Answers

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

Do the following set of points represent a function?Explain your answer (2,3),(3,8),(-1,4),(1,8)

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.

To have a function, you cannot use the same value for an x-coordinate more than once. Here, each value of an x-coordinate is used only once, so it is a function.

Answer:

Yes.

Step-by-step explanation:

It is a many-to-one function. Both 3 and 1 map to 8.

2 maps to to 3 and -1 maps to 4 which is one-to-one.

There are no one to many mappings  so it is a function.

There was a berry-picking contest at the earth day celebration this year. The line plot below shows the number of pints of berries collected by the people participating in the contest.

A. What is the median of the data displaced on the line plot?
B. How many people participated in the contest?

Answers

2 pints ;13 people

The work for median is you order the data: 2222113 in Lowest to highest;
1 1 2 2 2 2 3 then find the middle number

The median of the data is 2 and total number of people participated is 13.

The earth day celebration this year. The line plot below shows the number of points of berries collected by the people participating in the contest.

What is median?

median is the median is the middle value in the set.

number of frequencies are 2,2,1,2,3,1,2
arrange the frequencies in ascending order - 1,1,2,2,2,2,3
median = (n+1/2)th term

= 7+1/2
= 8/2=4th term is the median

median = 2
number
of people participated is 13.

Thus,The median of the data is 2 and total number of people participated is 13.

learn more about median here:
https://brainly.com/question/21396105

#SPJ2

what is the y-intercept of the equation 6x-3y=36

Answers

Answer:

(0, -12)

Step-by-step explanation:

Using the slope-intercept form, the y-intercept is 12.

On a grid, what is the distance between two points located at
(0, 0) and (4, 14)

Answers

Answer:

14.5

Step-by-step explanation:

Plug in the coordinates into the distance formula which is:

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(4 - 0)² + (14 - 0)²]

√[(4)² + (14)²]

√[(16) + (196)]

√212

14.5

Suppose Julie has already earned 36 points right and solve an addition equation to find the number of points he still needs to earn a pizza party

Answers

Answer:

[tex]50 = 36 + p[/tex]

Step-by-step explanation:

Given

[tex]Total = 50[/tex]

[tex]Points = 36[/tex]

See attachment

Required

Determine the additional points (p) needed

The total point equals the sum of the already earned point and the points needed.

i.e.

[tex]Total = Points + p[/tex]

Substitute values for Total and Points

[tex]50 = 36 + p[/tex]

guys i need help please


i'll give you brainliest if you can help me
this is quadratics

Answers

I would help but I’m not sure how, please do not press that link or else it will track your address! <33

The dimensions of a right rectangular prism are shown below.
1 in.
in
How many cubes with side lengths of 3 inch are needed to fill the prism without gaps or overlaps?

I will mark brainliest.

Answers

The number of cubes will be 546.

What is the volume?

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

The volume of the cuboid is,

Volume = (2¹/₆ x 1¹/₆ x 1 )

Volume = ( 13 / 6 ) x ( 7 / 6)

Volume = 91 / 36

The volume of a small cube is:-

Volume = (1/6) x (1/6)

Volume = 1/216

The number of cubes is,

Number = (91/36) ÷ (1/216)

Number = (91 x 216) / 36

Number = 546

To know more about volume follow

https://brainly.com/question/463363

#SPJ1

Solve each equation with the quadratic formula.
3p² =-3

Answers

Step-by-step explanation:

3p²=-3

or, 3p²+3=0

a= 3, b=0 and c= 3

x= (-b + √(b²-4ac))/2a

b²-4ac is a negative number.

So, can't be solved.

PLEASE HELP SOON!!! WILL GIVE BRAINLIEST TO ANSWERER!!!!!!!
3. The figure below shows a right triangle with squares made from its side lengths. What is the area of square c? *

Answers

It is 16 because you multiply 4 and 4 you get 16 from that square feet

plz help me with this question

Answers

Answer:

I think the answer is 8

Step-by-step explanation:

first you do 6 times 6

then you do 36-20

next do 32 divided by 4 and then you subtract that all

Plz help
In the diagram, ABC is a straight line.
Work out the size of the angle marked x.
(4 marks)

Answers

Answer:

Why is the picture dark ?

2x and 3x are like terms



Answers

The x just represents the variables

Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.

Answers

Answer:

[tex]Total = 32.4in^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

The surface area of the pyramid

To do this, we calculate the surface area of each of the pyramid faces.

For the equilateral triangle.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.9in[/tex]

The area is:

[tex]A_1 = 0.5 * Base * Height[/tex]

[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]

[tex]A_1 = 8.775in^2[/tex]

There are 3 isosceles triangles of equal dimension.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.5in[/tex]

The area of one of them is:

[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]

[tex]A_2 = 7.875in^2[/tex]

For the 3, the surface area is:

[tex]3A_2 = 7.875in^2 * 3[/tex]

[tex]3A_2 = 23.625in^2\\[/tex]

The total surface area is:

[tex]Total = 8.775in^2 + 23.625in^2[/tex]

[tex]Total = 32.4in^2[/tex]

i need help pls..........

Answers

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

The graph models the value of a vehicle over x years following its purchase for $25,000.
Which interpretation is correct?
(A) The asymptote indicates that the original value of the vehicle approached $25,000

(B) The point (40, 0) contains the x-intercept

(C) The line x=25,000 is an asymptote of the graph

(D)The line y=0 is an asymptote of the graph

Answers

Answer: it’s D. I took the test

The correct  interpretation are,

The asymptote indicates that the original value of the vehicle approached $25,000

The line y=0 is an asymptote of the graph

Graph of function:

From the given graph,

It is observed that graph is never intersect the x- axis. Therefore, x-axis will be the asymptote.

The equation of x- axis is y= 0.

Since at x= 0, the value of y = 25,000 , It means that  the original value of the vehicle approached $25,000.

The x- intercept is the point where graph crosses the x-axis.

Learn more about the asymptote of graph here:

https://brainly.com/question/1851758

Pls help..what’s the answer to this question

Answers

Answer:

x = 25

Step-by-step explanation:

53 = 2x + 3

x = (53 - 3)/ 2

x = 25

WILL GIVE BRAINLIEST FOR ANSWER In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.

How much gold fabric do you need to create the flag?

What percent of the flag is gold?

Answers

Answer:

13%

Step-by-step explanation:

the area of the flag is 4x6=24 the circle has an area of 3.14.  3.14/24 is 13%

The  percent of the flag is gold should be considered as the 13%.

Calculation of the percentage:

Since

In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.

So here the area of the flag should be

= (4) (6)

= 24

Now the percentage be like

= 3.14/24

= 13%

hence, The  percent of the flag is gold should be considered as the 13%.

Learn more about percentage here: https://brainly.com/question/19270423

The hypotenuse of a right triangle measures 25. Which could be the lengths of the legs?
A. 3 and 4
B. 5 and 5
C. 7 and 24
D. 10 and 15 ( No links)

Answers

The measure of lengths of the legs are 7 and 24. Therefore, option C is the correct answer.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, the hypotenuse of a right triangle measures 25.

A) 3²+4²= Square of the hypotenuse

25=Square of the hypotenuse

Hypotenuse=5 units

B) 5²+5²= Square of the hypotenuse

50=Square of the hypotenuse

Hypotenuse=5√2 units

C) 7²+24²= Square of the hypotenuse

625=Square of the hypotenuse

Hypotenuse=25 units

D) 10²+15²= Square of the hypotenuse

325=Square of the hypotenuse

Hypotenuse=√325 units

Therefore, option C is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Please help i need it for class thanks

Answers

Answer:

1.a is 3, b is 9, and c is 12

Step-by-step explanation:

Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.

Answers

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

How to explain the equation

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

please help i suck at math and I am in class ​

Answers

Answer:84.84m^2

Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.

Step-by-step explanation:

This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.

A bag contains 8 red, 6 green, and 3 blue popsicles. John is going to draw out a popsicle without looking in the bag.
What is the probability that he will draw either a green or a blue popsicle?

Answers

Answer:

52.94117647 %

Step-by-step explanation:

there is 17

6 + 3 = 9

9/17 = .5294117647

Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%​

Answers

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9

This is a similar triangle please find the missing length. (?)

Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

ill give brainlist who ever get this right

Answers

Answer:

The answer is 1086 in³

Step-by-step explanation:

Max's Moving Company charges a $75 loading fee to move your boxes. They also charge $2 per mile that they have to drive the van to move you boxes from one place to another.

Answers

Answer:

y=75+2x

Step-by-step explanation:

Given data

Loading fee=$75

Charge per mile= $2

Let the distance be x

and the total charge be y

Hence the expression for the total charge is

y=75+2x

Find the simple interes charged on a loan of $26,500 for 8 months at an interest rate of 7%. Show ALL your work or explain

Answers

Answer:

$1236.67

Step-by-step explanation:

I = Prt

P = 26500

r = 0.07

t = 8/12 = 2/3

I = (26500)(0.07)(2/3)

I = 1236.67

A bag contains 5 white marbles and 30 blue marbles. If a representative sample contains 2 white ​marbles, then how many blue marbles would you expect it to​ contain? Explain. Because the ratio of white marbles to blue marbles is ▼ 6:5 6:1 5:6 1:6 in the​ population, the expected number of blue marbles is nothing times the number of white marbles in the representative sample. There should be nothing blue marbles.

Answers

Answer:

6:1

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.

Other Questions
A local hotel has 158 rooms. Due to a scouting event, the entire hotel booked except for two rooms. If the girls scouts are using three times as many rooms as the boy scouts, how many rooms are the boy scouts using? The character of Asagai acts as a foil for the character of Beneatha in this passage chiefly because he...(A) was born in Africa (B) reveals a childlike navet (C)regrets his past actions (D)practices medicine (E)maintains optimism What is the slope of the line that passes through the points (-2, 8)(2,8) and (-22, 8) ?(22,8)? Write your answer in simplest form. Name the three structures of seed plants, and explain their functions. DO NOT USE SAMPLE RESPONSEBRAINLIEST can sombody help me pls PLEASE HELPRewrite each of the following sentences in the affirmative form, using indefinite words.Example: No veo a nadie. -> Veo a alguien.1. Nunca juego al voleibol. -> 2. No tenemos ninguna idea. ->3. No omos a nadie en el jardn. >4. No dice nada. -> 5. No me gusta el bisbol tampoco. -> uestion 23.33 ptsIn 1914, a Serbian rebel from the "Black Hand" nationalist group killed this Austria-Hungarian royalofficial causing alliances across Europe to mobilize and lead to the start of World War I.Emmanuel 11O Nicholas IIFranz Ferdinando Otto von BismarckPreviousNext what is 5.951 to the hundred Which of the following types of stars is the hottest?Blue main sequenceWhite dwarfOrange main sequence How do you think electronic spreadsheets have transformed businesses today? Which of the following is matter in its solid form?HURRY FAST What is genetic mutations? The scatter plot below shows the relationship between the latitude of cities and their average January temperature.Which of the following is the best estimate of the average change in temperature associated with a 1-degree increase in latitude?Choose 1 answer:(Choice A)-15 F(Choice B)2.5 F(Choice C)2.5 F(Choice D)15 F If a special type of ice has a specific heat capacity of 2060 J/kg K. Howmuch heat must be absorbed by 2.6 kg of ice at -27.00 C to raise it up to0.00 C, before any melting takes place?A. 140,000 JB. 290,000 JC. 56,000 JD. None of the above Write an equivalent expression without parentheses and then simplify the result8n - (7 + 6n)A. 8n - 7 - 6nB. 8n - 7 + 6nC. 2n +7D. -2n + 7E. 2n - 7 which point is 8 units away from ( 7, 5 ) ? One question that you will ask for a scientist These environmental modifications were made in order to construct The expression (2a)3 is? Which question can best be used to find the central idea when reading a text?Why was the text written?What is this text mostly about?Is the text meant to inform, argue, or entertain?Which words or phrases are important in the text?