which algebraic expression is equivalent to the expression below?

3(12k + 2) + 6k

A. 54k + 6

B. 18k + 5

C. 21k+ 5

D. 42k + 6

Answer:

Length = 15ft

Width = 12ft

Step-by-step explanation:

First, re-read the problem until you acknowledge it and can put it into your own words.  

This is what I did:

 Find the area of a rectangle by first finding the length  and the width.  Note that:

L = Length  

W = Width

Find L and W

We will need formula:

P=2L+2W

A=LW

The length of a rectangle is 3 ft longer than its width :

L                             =    3             +         W                 Equation [1]

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 54                           Equation [2]

     P = 54 = 2L + 2W                        

          54 = 2(3+W)  +  2W              

          54 = 6 + 2W   + 2W              

           54 = 6 + 4W                    

           48 + 4w

          12 ft = w

L = 3 + W        

          L = 3 + 12

         L = 15 ft

Area if needed

A = L*W

          A = (12 ft)*(15 ft)

          A = 180 sq ft

Kavinsky

Answer:

Step-by-step explanation:

Remark

If you drive 400 miles a month, and you get 19 miles per gallon, then you will need

gallons = miles / miles per gallon

Givens

m = 400

mpg = 19

Cost per gallon = 1.21

Solution

gallons = 400 / 19 = 21.05

You need to buy 21.05 gallons

1 gallon costs 1.21

21.05 gallons cost x            Cross multiply

x = 1.21 * 21.05

Answer: x = 25.47              Cost for 1 month's fuel.

Answer:

w(3-3+3)

Step-by-step explanation:

distibutitve property

Answer:

9

Step-by-step explanation:

15 / 5/3 = 15 x 3/5=9

Because a negative numebr divided by a negative number is always positive.

Answer:

9

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)[/tex]

[tex]\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7[/tex]

Now, move all like terms aside :

[tex]\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7[/tex]

Add the like terms ~

[tex]\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7[/tex]

Answer:

13(x)⁴ + 7(x)²-6(x) + 7

Explanation:

[tex]\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)[/tex]

remove the parenthesis

[tex]\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7[/tex]

group the variables

[tex]\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7[/tex]

add similar terms

[tex]\sf \hookrightarrow 13x^4+7x^2-x-5x+7[/tex]

simplify

[tex]\hookrightarrow \sf 13x^4+7x^2-6x+7[/tex]

Answer:

The Cost of operating the theater if there are 100 people at a show is 20,000Rs.

Step-by-step explanation:

Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.

In a theater there will be 3 to 4 shows for a movie or different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

Consider a ticket cost of 200rs. For 100 people in a show ,

                              Cost = 200 × 100

                               Cost = 20,000.

Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

The Cost of operating the theater if there are 100 people at a show is 20,000Rs.

The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.

In a theater, there will be 3 to 4 shows for a movie or a different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

The average cost of a college education has gone up dramatically.

Consider a ticket cost of 200rs.

For 100 people in a show,

Cost = 200 × 100

Cost = 20,000.

Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.

To learn more about the cost visit:

https://brainly.com/question/1153322

Answer:

3/4

Step-by-step explanation:

The answer is 3/4, because we rise 3 and run 4 the formula is always rise over run, and thats why its 3/4

Hoped this helped!!

Answer:

j ÷ 9 = 5

Step-by-step explanation:

If the statement says, j divided by 9 is 5, it is obvious you are dividing in this situation.

So the equation is, j ÷ 9 = 5

The next part says solve for j.

This part is pretty easy; all you have to do is do the opposite operation and multiply 9 by 5.

So, j = 45

Answer:

x≥ 6

Step-by-step explanation:

hope this helps loves x please make me brainlest

Answer: your answer would be D. x ≥ 6

x is greater or equal to 6

Step-by-step explanation:

Answer:

f(x) = 45x + 5

Step-by-step explanation:

The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.

The formula that simulates the parking fee for this sentence is

f(x) = 45x + 5

This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.

Answer:

B.About half of the pizza is left.

Step-by-step explanation:

When we solve:

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it.

We get 4/9.

Answer:

3 1/6

Step-by-step explanation:

2+1/3+5/6

(1/3=2/6)

so 3/6+5/6 =  7/6

Answer:

160 - k dollars

Step-by-step explanation:

Hello!

If Leila has 160 dollars and spends the amount k, then you are therefore subtracting k from 160. This is because you are using the value of k from 160.

So the expression would be 160 - k dollars

Answer:

Allison is 7 years now, Jenny is 49 yeas now. Check.  13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{44}{25}[/tex]

Step-by-step explanation:

1) Simplify 6 × 6 to 36.

[tex]\frac{8+36}{11+7*2}[/tex]

2) Simplify 8 + 36 to 44.

[tex]\frac{44}{11+7*2}[/tex]

3) Simplify 7 × 2 to 14.

[tex]\frac{44}{11+14}[/tex]

4)  Simplify 11 + 14  to 25.

[tex]\frac{44}{25}[/tex]

Answer:

382.85

Sig Figs

   5

   382.85

Decimals

   2

   382.85

Scientific Notation

   3.8285 × 10^2

E-Notation

   3.8285e+2

Words

   three hundred eighty-two point eight five

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

just multiply 16 x 3 and you will your answer

Answer:

48 Oz.

please make this answer brainliest If I helped you!

Step-by-step explanation:

1lb = 16 Oz.

3lb = 48 Oz.

16x1=16

16×3=48

Answer:

1. (a) 1/12

(b)35/36

(c) 31/36

2. Blue - 1/3

Red- 4/15

Answer:

$15.48 for 12 lbs

Step-by-step explanation:

Check photo for work

The 12 pounds of ground beef cost is  $15.48.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

8 pounds of ground beef cost $10.32

i.e  8 pounds of ground beef = $10.32

    1  pounds of ground beef = [tex]\frac{10.32}{8}[/tex]

    1  pounds of ground beef = $1.29

Therefore,

12 pounds of ground beef = 1.29*12

12 pounds of ground beef = $15.48

Hence, 12 pounds of ground beef is of  $15.48.

To know more about unitary method here :

https://brainly.com/question/24406804

# SPJ2

Answer:

5 year old cat

Step-by-step explanation:

because a kg is about a pineapple

The distance of segment AB is the number of units on the segment

The equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

The given parameters are:

The distance AB is calculated using:

[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

This gives

[tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Hence, the equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Read more about distance equations at:

https://brainly.com/question/7243416

Answer:

√(x-6)² + (y-5)²

Step-by-step explanation:

The Distance Formula is √(x2 - x1)² + (y2 - y1)²

If you plug in the known values, you get √(x - 6)² + (y - 5)²

This is our answer.

Answer:

Formula for area of circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius which is being squared.

What we know:

Plug in what we know;

A = π[tex]r^{2}[/tex]

(For pi I'll be using 3.14 instead of 22/7)

A = 3.14(14^2) ← (The symbol ' ^ ' means to the power of.)

A = 3.14(196)

A = 615.44, 615.44 centimetres is the area of this circle.

Answer:

≈[tex]615.44cm^2[/tex]

Step-by-step explanation:

So the equation for area of circle.

[tex]\pi r^2\\\pi 14^2[/tex]

So 14^2, or 14 x 14 is 196.

Now you can either keep it in terms of pi, 196pi, or times it by pi.

[tex]196*pi\\196*3.14\\615.44[/tex]

So the answer would be around 615.44cm^2

Using the knowledge of the measure of a semicircle, the measures in the circle given are:

a. m(DEF) = 152°

b. m(EFG) = 70°

c. m(CA) = 28°

Half of a circle is a semicircle = 180°.

Given the following:

a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]

m(DEF) = (152 - 39) + 39

m(DEF) = 152°

b. m(EFG) = m(EF) + m(FG)

m(EFG) = 39 + 31 = 70°

c. m(CA) = 180 - 152 (semicircle)

m(CA) = 28°

Learn more about the measure of a semicircle on:

https://brainly.com/question/11983357

Answer:

22707

Step-by-step explanation:

Answer: 6 cm

Step-by-step explanation:

The formula for the area of a parallelogram is

hb=a

Where

b is the base

h is the height (5 for this)

and a is the area (30 for this)

Let's sub these values into our equation

[tex]5b=30[/tex]

Divide both sides by 5 to isolate b

[tex]5b=30\\\frac{5b}{5} =\frac{30}{5} \\b=6[/tex]

The base is 6cm long.

Answer:

Base = 6 cm

Step-by-step explanation:

Given:

[tex]\text{Area of parallelogram} \text{ = 30 cm}^{2}[/tex]

[tex]\text{Height of parallelogram = 5 cm}[/tex]

Formula:

[tex]\text{Area of parallelogram} = \text{Base} \times \text{Height}[/tex]

Substitute the height and the area of the parallelogram:

[tex]:\implies 30 \ \text{cm}^{2} = \text{Base} \times 5[/tex]

Divide both sides by 5:

[tex]:\implies \dfrac{30}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]

Simplify both sides:

[tex]:\implies 6 \ \text{cm} = \text{Base}[/tex]

Answer:

24

Step-by-step explanation:

First we write the first few multiples of 6 (the first denominator) :

6,12,18,24,30

Now we write the first few multiples of 8 (the second denominator) :

8,16,24,32,40

As we can see 24 is the lowest number that appears in both list.

Therefore it is the LCD of 5/6 and 11/8

Answer:

Trains 1 and 2 are going the same speed :)

Step-by-step explanation:

We need to divide to solve :)

Train 1:

100/4 = 25

Train 2:

196/7 = 28

Train 3:

375/25 = 25

Trains 1 and 2 are going the same speed :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]

Step-by-step explanation:

[tex](5-6y)^2=113[/tex]

[tex]\sqrt{(5-6y)^2} =\sqrt{113}[/tex]

[tex]5-6y=\sqrt{113}[/tex]

[tex]-6y=\sqrt{113} -5[/tex]

[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]

I hope this helps!