Which of these numbers is a solution of the inequality 3x>18?

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The Distributive Property states the following:-

[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]

Where

[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]

Now, let's use this property to simplify our expressions.

The first one is

[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]

Simplify by distributing 4:-

[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]

Add the products:-

[tex]\longrightarrow\sf{4x+8}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the next one:-

[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]

Distribute -5 & add the products:-

[tex]\longrightarrow\sf{-45-5x}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the last one:-

[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]

Distribute 7:-

[tex]\longrightarrow\sf{7x-21}[/tex]

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Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

Step-by-step explanation:8

Answer:

the answer is 8 i think xddd

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

Answer:

D.

Step-by-step explanation:

The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.

Twice as fast = 15 X 2 = 30 per minute

Only the data in Table D fits.

660 / 22 = 30

720 / 24 = 30

Answer:

x=0

Step-by-step explanation:

because you divide by x^12

x^n=x^0

x=0

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

Read more about areas at:

https://brainly.com/question/24487155

Answer:

-1

Step-by-step explanation:

angle 0: 7pie/4

=7*180/4

=1260/4

=315

hence reference angle(0)= 315

now, tan 0 = tan315

= tan(360-45)

= -tan45

= -1

Answer:

Step-by-step explanation:

Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.

Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.

Answer:

37.5%

Step-by-step explanation:

the percentage is calculated as a fraction of the quantities multiplied by 100% , that is

[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%

Answer:

37.5%

Step-by-step explanation:

6/16×100

37.5%

brainiest please

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

Solve:

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

Answer:

8x^3y^3

Step-by-step explanation:

Thats the answer but the ones with the symbol are up

To simplify this, we must simply power every component within the parentheses by 3

   [tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]

Hope that helps!

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]

[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]

[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]

**Probability Distribution Table attached**

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Answer:

x>3 but x<5 so x=4

4-3=1

+

4+2=6

-

4-5=-1

but |-1|=1

so

1+6-1=6

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Remember, prime numbers have only 2 factors: 1 & themselves.

For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)

Now, write down some primes.

1) between 45 and 55

   - 47

   - it's only divisible by 1 and itself, so it IS prime

2) 62 and 72

67, because it is divisible by 1 and itself only.

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

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D

Answer:

100

Step-by-step explanation:

10^3= 10x10x10= 1000

10^4= 10x10x10x10= 10000

10^5= 10x10x10x10x10= 100000

( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.

ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one

step 2 solve

1000x10000/100000= 100

Answer:

10^2

Step-by-step explanation:

10^3⋅10^4/10^5

add the exponents when multiplying

10^7/10^5

subtract the exponents when dividing

10^2

Answer:

24.00

Step-by-step explanation:

8 times tables

Answer:

1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.

Answer:

Because any number to the power of zero will be one.

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.

A regular hexagon is a polygon with 6 sides and the angles are congruent.

The perimeter of the hexagon is the sum of the whole sides. Therefore,

side length = 8 units

apothem = 9 units

perimeter = 8 × 6 = 48 cm

The area of the hexagon can be calculated as follows:

area = 1 / 2 pa

where

p  =perimeter

a = apothem

Therefore,

area = 1  / 2 × 48 × 9

area = 432 / 2

area = 216 units²

learn more on hexagon here: https://brainly.com/question/15392522