Directions: Follow the instructions for the following inequalities.


1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9


2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)


3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2


4. -4 < 8 Divide both sides by -4, then by -2


5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

Answer 1

Answer:

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Step-by-step explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.

Answer 2
The answer is -2 because after you multiply you have to divide

Related Questions

ANSWER QUICK PLS

NEED IT QUICK
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Answers

Answer:

X=-6 and X=0

Step-by-step explanation:

I will solve this by factoring.

Factor x(x+6)=0 into to equations: X=0 and x+6=0.

Move the 6 to the other side which will make it negative and their is nothing to do with x=0.

So the final answer is X=-6 and X=0.

Answer:

x = 0 , x = -6

Step-by-step explanation:

Zero product property

The equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So we can set each factor ( "x" and "x+6") equal to 0 and solve for x

Factor #1

x = 0

Factor #2

x + 6 = 0

==> subtract 6 from both sides

x = -6

Checking our work

We can now substitute the values of x into the original equation to check our work

x(x+6) = 0

==> plug in x = 0

0(0+6) = 0

==> simplify addition within parenthesis

0(6) = 0

==> multiply 6 and 0

0 = 0

x(x+6) = 0

==> plug in x = -6

-6(-6 + 6) = 0

==> add -6 and 6

-6(0) = 0

==> multiply -6 and 0

0 = 0

Both values of x satisfy the equation therefore the values of x are indeed -6 and 0

Learn more about the zero product property here :

https://brainly.com/question/4893812

A fishbowl has a regular hexagonal base with side lengths of 15 centimeters. When the hexagon is divided into six equal triangles, the height of each triangle is approximately 13 centimeters. If the fish tank is 50 centimeters tall, what is its volume?

Answers

Answer:

Quick not so accurate answer: ((15•13:)2)•50=4875m

More accurate answer: area of 1 triangle is ((15cm*15cm)*√3)/4 = (225*√3)/4 = 389.711432/4 = 97.427858cm2

to get the full hexagon multiply I by six, that is 584.567148cm2.

Then multiply that by its height that is 50cm to get the volume, that is 29228.3574cm3.

could someone help me? Please.

Answers

An equation that could be used to determine the number of books that Keiko bought include the following: B. 4b - 5 = 71.

The number of books is equal to 19 books.

How to write an equation to model this situation?

In order to write a linear equation to describe this situation, we would assign a variable to the number of books, and then translate the word problem into a linear equation as follows:

Let the variable b represent the number of books.

Since Keiko bought some books for $4 and received a discount of $5 off of her total purchase, a linear equation that models the situation is given by this mathematical expression:

4b - 5 = 71

Next, we would calculate the number of books (b) as follows;

4b - 5 = 71

4b = 71 + 5

4b = 76

b = 76/4

b = 19 books.

Read more on equation here: brainly.com/question/18912929

#SPJ1

what are these fractions in their simplest forms? (pic below )

Answers

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

1-.125
2-.1666
3.333333
4-.11111
5-.15
6-.142857
7-.12
8-.666666
9-.1
10-.43375
11-.3846
12-.28125
13-.44444444
14-.133333
15-.647059
16-.4166666
17-.4615
18-.125
19-.3333333
20-.25


I think it's like that.

Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5

Answers

The median based on the number lines given will be 3.
How to calculate the median?
It should be noted that the median simply means the number in the middle when the numbers are arranged in ascending or descending order.
The median will be:
-8, -5 -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10. Here, the median will be:
= (2 + 4)/2
= 3

PLSSSSSS HELPPP !!!!!!!!!

Answers

Answer:

D.

Step-by-step explanation:

you can count and check but yea

The correct answer is D

Answer this for me!!

Answers

We have divided the figure into 3 parts i.e. ; 2 rectangles and 1 triangle...

[tex] \boxed{ \red { \mathfrak{Area\: of\: figure =l \times b + l \times b + \frac{1}{2} \times b \times h}}}[/tex]

We have the dimensions:

l = 8 ftb = 7 ftl = 6 ftb = 2 fth = 1 ftb = 2 ft

[tex] \blue{ \sf{Area\: of\: figure = 8 \times 7 + 6 \times 2 + \frac{1}{2} \times 2 \times 1 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + \frac{1}{ \cancel2} \times \cancel 2 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + 1}}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =69 \: {ft}^{2} }}[/tex]

Hence, Option B is correct!!

Option b is the right answer

Write and solve a real-world problem that involves finding the product of a fraction and mixed number.

Answers

Answer: 2 1/2

Step-by-step explanation:Chelsie has 2 1/2 countainers to put her special designer fabric that is 6 1/2 inches long. Chelsie currently has 2 copies. how many inches long is both fabrics?

Answer: 2 1/2

Step-by-step explanation:

Please help! Screenshot

Answers

Answer:

a circle

Step-by-step explanation:

The correct answer is a circle because there are so many lines of symmetry that pass through the center point whereas there are only a select few in squares, equilateral triangles, and a regular pentagon

i need help on the last part of the question, can somebody help me please?

Answers

Answer:

Step-by-step explanation

As you know, the angles of a triangle must have a sum of 180 degrees.

Here you got the first part correct and for the second part all you need to do is write 76.2 as the angles they gave you equal 180 degrees.

76.2 + 81.7 + 22.1 = 180

Answer this question for me!!

Answers

Answer:

You can do:

-two trapezoids

-six triangles

-two parallelograms

hope this helps!

20 POINTS!!! (EASY AND QUICK)
A student starts a walk at (9, −12). If the student walks 5 miles north, south, east, or west, which of the following could be their location at the end of the walk? (−12, 9), (−17, 9), (14, −7), (4, −7) (4, −12), (14, −12), (9, −7), (9, −17) (9, 5), (9, −17), (14, −12), (5, −12) (5, −12), (7, −12), (9, 14), (9, −17)

Answers

Answer: (9, -7), (9, -17), (14, -12), (4, -12)

Step-by-step explanation:

If the student went north - add 5 to y value: (9, -7)

If the student went south - subtract 5 from the y value: (9, -17)

If the student went east - add 5 to the x value: (14, -12)

If the student went west - subtract 5 from the x value: (4, -12)

Answer:

(9,-7) North, (14,-12) East, (9,-17) South, (4,-12) West

hope this helps!!

BRAINLIST PLEASE

HELP ILL GIVE BRAINLY!!

What is the sum of -2x³ + x-3 and x³- 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³-3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.

Answers

start by adding the all the similar number with teh exponents but do the negatives last then you need to combine like terms and yu should get 56 as your asnwer

yes, the two equations are equivalent because only the commutative property was applied.

Evaluate.
10 to the power of 8

Answers

Answer:

the answer is 100000000

Answer:

100000000

Step-by-step explanation:

correct?

math homework due tomorrow please help

Answers

Inequality Notation: x<1

And then on number line:

(in image)

May I please have brainliest? :))

x < 1


5x/5 < 5/5

1. divide both sides by the same factor

2. Cancel terms that are in both the numerator and denominator

3. Divide the numbers

This theme is universal. It can apply to all people, and most people struggle with this question.

Answers

Answer:

A universal theme is an idea that applies to anyone regardless of cultural differences or geographic location. Universal themes are ways to connect ideas across all disciplines. It is a central idea about the human condition.

Step-by-step explanation:

Michelle practiced all week to improve her typing speed. She estimated she could type 27 words per minute. When she took her typing test, she actually typed 30 words per minute. What is the percent error for Michelle's estimate?

If necessary, round your answer to the nearest tenth of a percent.

Answers

Answer:

90%

Step-by-step explanation:

The answer would be:
90%

Please help me I want this done today.

Answers

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B

Please help i need help with this

Answers

well, since there is a front and the back, it would be two. and the sides are 3. so in total 5, correct me if i’m wrong please.
Answers:faces = 5edges = 9vertices = 6

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

Explanation:

Each face is a polygon representing a wall, ceiling or floor of the 3D structure. If we rotated the figure so that one triangle is flat on the ground we would have...

2 triangles for the floor and ceiling3 rectangles for the walls

That's 2+3 = 5 faces total.

-----------

The edges connect adjacent faces. For instance, two neighboring walls are connected with an edge. There are 3 edges that connect adjacent walls. There are 3+3 = 6 more edges that connect a wall to either the ceiling or the floor.

That's 3+6 = 9 edges total.

-------------

Vertices are corner points. They are endpoints of segment edges.

The triangular floor provides 3 vertices. The triangular ceiling provides the other 3.

That's 3+3 = 6 vertices total

-------------

Extra info:

Euler's polyhedron formula is

F+V-E = 2

where

V = number of verticesF = number of facesE = number of edges

Let's use that formula for

F = 5 facesV = 6 verticesE = 9 edges

So,

F+V-E = 2

5+6-9 = 2

11-9 = 2

2 = 2

The formula works for this polyhedron and any other polyhedron. So if you know two of the three items (say the value of F and V), you can use the formula to determine the missing third piece.

which is the solution to the inequality?

Answers

Answer:[tex]X < \frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} +x < \frac{5}{6}[/tex]

[tex]X < \frac{7}{12}[/tex]

To solve this question, you’ll need to find x. The way to find x is to isolate it on one side, which in this case you can do so by minus 1/4 on both sides. You’ll end up with “x<7/12”, which is the first option. Feel free to clarify if you have any questions!

The variables y and x have a proportional relationship, and y = 5 when x = 4.
What is the value of x when y = 8?

Enter your answer in the box.

x = ___

Answers

If y and x have a proportional relationship, we can write this relationship as:

y = kx

where k is the constant of proportionality. To find the value of k, we can use the given information that y = 5 when x = 4:

5 = k(4)

Solving for k, we get:

k = 5/4

Now that we know the value of k, we can use it to find the value of x when y = 8:

8 = (5/4)x

Solving for x, we get:

x = (8*4)/5

x = 6.4

Therefore, the value of x when y = 8 is 6.4.

Please answer this for me!!

Answers

Answer: a=1/2bh+lw

Step-by-step explanation:

the 1/2bh works for a right-angled triangle but we have that and also part of a square or rectangle, so we added a little onto that area and boom a=1/2bh+lw is the answer.

Here it is. PLEASEEEEE help....

Answers

Answer: 264 inches squared

Step-by-step explanation: 48 + 48 + 48 + 48 + 36 +36

Answers to 264 I am sure

Please help me and answer this.

Answers

Connect the points and find the distances. Then match them up with one of the answers till you get the right one.

Answer this for me!!

Answers

Answer:

i think the answer is....

Step-by-step explanation:

The answer is cm=240. I used Chegg

cm 240 i think sorry if im worng

which angles are supplementary to each other? select all that apply

Answers

A supplementary angle is angles that when added together equals 180 degrees

The answers would be:
Angle 4 and 4

They are the only two angles that add up to 180 degree
Angle 4and5 are supplementary to each other

Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of hours, which equation represents this proportional relationship?

A. d = 6h
B. 3d = 4h
C. d= 1/6 h
D. d = 4h
E. 1/6 d = 12h

Answers

Hi mate, here is your answer.

Greetings from a European student ;)
Here is the answer

Answer: A. D=6h.

HELPPPPPP you well get a cookie and cake if you help me ^^

Answers

Top person is wrong A is correct because when you simplify it will end up being 24 which is greater than 13. C is also wrong because it is the same as 13 and NOT greater. D is wrong because it is equal to 9. Therefore, A is your only correct answer

Please help me
Simplify each square root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
√121
√48
Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
3√81
3√-64

Answers

Answer:

Sure, I'd be happy to help you with these problems!

Simplifying square root expressions:

√121 = 11

The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).

√48 = √(16*3) = √16 * √3 = 4√3

The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.

Simplifying cube root expressions:

3√81 = 3√(3^4) = 33 = 9

The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).

3√(-64) = 3√(-444) = 34√(-4) = 12i√2

The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.

1. √121:

To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.

Since 11 is a whole number, it is considered a rational number.

2. √48:

To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.

Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.

The simplified form of √48 is 4√3.

Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.

Now let's simplify each cube root expression and describe the simplified form as rational or irrational.

3. 3√81:

To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.

Since 4 is a whole number, it is considered a rational number.

4. 3√-64:

To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.

Since -4 is a whole number, it is considered a rational number.

In summary:

- √121 simplifies to 11, which is a rational number.

- √48 simplifies to 4√3, which is an irrational number.

- 3√81 simplifies to 4, which is a rational number.

- 3√-64 simplifies to -4, which is a rational number.

Can someone please help me

Answers

Answer:

Step-by-step explanation:

the output is 1.5

The output is 1.5:))
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