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?

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

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

Answer:

You can do:

-two trapezoids

-six triangles

-two parallelograms

hope this helps!

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]

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:

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:

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

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

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.

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

Answer:

a circle

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

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

Answer:

D.

Step-by-step explanation:

you can count and check but yea

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.

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

Answer:

the answer is 100000000

Answer:

100000000

Step-by-step explanation:

correct?

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.

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

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

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...

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

Let's use that formula for

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.

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

Answer:

Step-by-step explanation:

the output is 1.5

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.

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:

Answer:

i think the answer is....

Step-by-step explanation:

The answer is cm=240. I used Chegg

Answer: 264 inches squared

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

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:

[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!!

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