Which expressions below equal a rational number? Select all that apply

Answer:

Step-by-step explanation:

solution

We going to do this process in a stepwise manner

given the expression

18=6(2x – 8)

1. open bracket on the left-hand side (distributive property)

18=12x-48

2. collect like terms

18+48=12x

66=12x

3. divide both sides by 12 we have

x= 66/12

x= 33/6

x=11/2

Answer:

6*10^-3  >  5*10^-3

Step-by-step explanation:

[tex]6*10^{-3}\\6*\frac{1}{10^{3} }\\6*\frac{1}{1000}\\\frac{6}{1000}=\frac{3}{500}=0.006[/tex]

[tex]5*10^{-3}\\5*\frac{1}{10^{3} }\\5*\frac{1}{1000}\\\frac{5}{1000}=\frac{1}{200}=0.005[/tex]

0.006>0.005, therefore, 6*10^-3>5*10^-3

Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

You can only factor out the 2x the other part is not factorable.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3[ x + 3(4x - 5)]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{3[ x + 12x - 15 ]  = 15x - 24}[/tex]

Collect like terms : 12x and x

⇒[tex] \sf{3[ 13x - 15 ]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]

Collect like terms

⇒[tex] \sf{24x = - 24 + 45}[/tex]

Calculate

⇒[tex] \sf{24x = 21}[/tex]

Divide both sides of the equation by 24

⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]

Calculate

⇒[tex] \sf{x = 0.875}[/tex]

Hope I helped!

Best regards! :D

Answer:

Correct

Step-by-step explanation:

i need something to work with im not understanding your question

Answer:

greater than

Step-by-step explanation:

63,459 is 542 more than 62,935

Answer:

63,459 is less than 63,935

Step-by-step explanation:

63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.

Hope this helps, please mark brainliest. You dont have to if you dont like it

Answer:

  83

Step-by-step explanation:

If that number of skips is represented by s, we can write the proportion ...

  skips/seconds = s/15 = 332/60

  s = 332(15/60) = 332/4 = 83

She skipped at the rate of 83 skips in 15 seconds.

_____

Additional comment

If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.

Answer:

332/60 is 5.53, then multiply that by 15 and your answer is 83

Step-by-step explanation:

Answer: 56

Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:

2

8

14

20

26

32

38

44

50

56

This is a total of 10 numbers.

Hope it helps!

Answer:

(4) 0

Step-by-step explanation:

Given:

Looking at the angles measures, they form series of:

This is AP with the first term of 27 and common difference of 7

We can see one of the terms of this AP is 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

So correct answer choice is  Option 4) 0

Answer:

9 pennies, 6 dimes, 12 quarters.

Step-by-step explanation:

Pennies = $0.01

Dimes = $0.10

Quarters = $0.25

Let x be the number of dimes. Then (x + 3) is the number of pennies and 2x is the number of quarters.

We have x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

$0.1x + $0.01x + $0.03 + $0.5x = $3.69

$0.61x = $3.66

x = 6.

Therefore Bob has 9 pennies, 6 dimes and 12 quarters.

Answer:

45+n = 9 (8n+5)-3n

or, 45+n = 72n+45-3n

or, 45-45=72n-4n

or, 68n=0

or, n=0

Answer:

-9 or negative 9

Step-by-step explanation:

The opposite of negative 9 is positive 9.

The opposite of that is negative 9.

Answer:

+9

Step-by-step explanation:

Answer:

1)4 41/50

2)7 7/10

Step-by-step explanation:

We need to convert 25 cg : 4g in lowest terms.

We know that, 1 gram = 100 centigram

1 cg = (1/100) gram

25 cg = [tex]\dfrac{25}{100}[/tex] grams

To write 25 cg : 4g in lowest terms, the step to be done are as follows :

[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]

It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]

Answer:

1325

Step-by-step explanation:

53 x 25 is 1325

Not sure how it can be simplified more.

Answer:

20.5 cm

21.5 cm

Step-by-step explanation:

Length is 21 cm correct to 2 significant figures

Find lower and upper bounds

As per above definition:

Answer:

a.  L.B. = 20.5

b.  U.B. = 21.5

Step-by-step explanation:

Length is measured 21 cm correct to 2 significant figures

a.  Lower bound of 21

    =  20.5 < 21

    = 20.5

b. Upper bound of 21

     = 21 < 21.5

     = 21.5

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

Answer:

.878787.. to a fraction is 29/33

Step-by-step explanation:

[tex]\frac{(0.87*100)-0}{99}[/tex] = 87/99

Simplify 87/99, which is 29/33

Answer:

140

Step-by-step explanation:7 ft per minute; there are 60 minutes in an hour therefore 7 x 60 = 420ft in hour

there are 3 feet in yard, 420 feet divided by 3 = 240

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4

Answer:

500

Step-by-step explanation:

if one side is 125 cm on a square all the sides are equal so you should multiply 125x4 which gives you 500

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Perimeter = 500\ cm}}}}[/tex]

Step-by-step explanation:

Given that Length = 125 cm

So,

Perimeter = 4 ( 125 )

Perimeter = 500 cm

Answer:

3^5, because thats 5 3's

Step-by-step explanation:

Answer:

3⁵  

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

hope this helps with your math

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = Bxt + C

To solve for x move C to the other side of the equation

That's

Bxt = A - C

Divide both sides by Bt to make x stand alone

That's

We have the final answer as

Hope this helps you

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(-x+4)=12[/tex]

First, divide both sides by 4. The left side will cancel. The right will reduce to 3:

[tex](4(-x+4))/4=(12)/4\\-x+4=3[/tex]

Subtract 4 from both sides. The left cancels:

[tex]-x=-1[/tex]

Divide both sides by -1:

[tex]x=1[/tex]

So, the value of x is 1.

And we're done!

Answer:

x = 1

Step-by-step explanation:

4(-x + 4)= 12

Step 1 : Distribute

-4x + 16 = 12

Subtract 16 from both sides

-4x = -4

Divide

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

x = 1

Answer:

256

265

526

562

625

652

Answer: OPTION B

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)= √-1 ⇔ In real number world, √-1 will be undefined,  

                                               and thus this is called imaginary number

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

√-2=√2 × √-1

√-2=√2× √-1

√-2=√2 × i

√-2= √2 i

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

√-18=√9 × √2 × √-1

√-18= √9 × √2 × √-1

√-18= 3 × √2 × i

√-18= 3√2 i

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

Addition in radical numbers is as usual as normal number. HOWEVER, only numbers that has the same radical (i.e 2√3 and 7√3) can combine.

 √-2 + √-18

=√2 i + 3√2 i

=4√2 i

Hope this helps!! :)

Please let me know if you have any question

Answer:

Mars is [tex]1.4 \times 10 ^{88} miles[/tex] farther from the sun than Earth?

Step-by-step explanation:

We can assume that the two planets are on a straight line. This would make the solution easier for us.

The average distance from Earth to the sun is about [tex]9.3 \times 10 ^{77} miles[/tex]

The average distance from Mars to the sun is about [tex]1.4\times 10^{88} miles[/tex]

To find how much farther is Mars from the sun than Earth, we simply need to subtract the distances between the Earth and the Sun and the Distance between Mars and the Sun.

This will be

[tex]1.4\times 10^{88} miles[/tex] - [tex]9.3 \times 10 ^{77} miles[/tex]  = [tex]1.4 \times 10 ^{88} miles[/tex]

Step-by-step explanation:

3x4=12

3.14

12-3.14

Answer:

-6/5

Step-by-step explanation:

Answer: x=0 or 6/5

Step-by-step explanation: