Which algebraic expression is equivalent to this expression?
9(3x - 12) + 9x

A.
36x - 12
B.
18x + 108
C.
36x - 108
D.
18x - 108

Answers

Answer 1
hello!

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

note:-

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

Answer 2

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

9(3x - 12) + 9x

Expanding :

#1) Open the bracket applying the distributive property.

9(3x - 12) + 9x9(3x) - 9(12) + 9x27x - 108 + 9x

#2) Combine like terms.

27x + 9x - 10836x + 108The option with this answer is C.

Related Questions

3/5 plus 1/2 in simplest form

Answers

3/5 + 1/2

= 6/10 + 5/10

= 11/10

= 1(1/10)

= 1.10

please help me...asap

Answers

Set an amount to survey since door to door will take up too much time and all other options cause bias
So the answer would be the first one sample of 5)

A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture

Answers

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

What is the missing value in this calculation?
2/13+ ?/13=6/13

Answers

Answer:

? = 4

Step-by-step explanation:

2/13 + ?/13 = 6/13        (Given)

-2/13               -2/13      (Isolate the unknown through subtraction)

?/13 = 6/13 - 2/13        

?/13 = 4/13                    (Combine like terms)

? = 4

Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.

The answer probably is 4

The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.

Answers

Answer:

3.499 cm

Step-by-step explanation:

volume of a cylinder = pi r^2 h

                             500 = pi r^2 (13)

                           sqrt ( 500/(pi * 13) = h =

Graph the system.
y=x2+4x+1
y−x=1
As you graph your parabola, plot the vertex as your first point, followed by a point on the parabola.

Answers

Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))

Find the volume of the pyramid.

A) 22 cm3
B) 264 cm3
C) 132 cm3
D) 44 cm3

Answers

264 cm3.
Length * width * height gives the volume of a shape.

1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10

Answers

hello!

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

note:-

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

7. Magdalena had a spinner that was evenly divided into sections of red, blue, and green. She spun the spinner and tossed a coin several times. The table below shows the results. Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 blue;T green;T green; Hred; T blue; H Given the results, what is the experimental , probability of spinning blue? Write an answer as a decimal.​

Answers

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

How to determine the experimental probability?

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

Read more about probability at:

https://brainly.com/question/251701

Justine has $13.50 left on her city bus card and each bus ride cost $2.25.what equation can be used to find the number of bus rides he has left

Answers

Answer:

6 rides

Step-by-step explanation:

Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides.  Dividing both sides by $2.25/ride yields 6.

Justin has enough on his bus card for 6 more rides.

Consider parallelogram VWXY below.

Use the information given in the figure to find m∠YXV, m∠Y, and x.

Answers

note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.

Answers:

a.(i.)Slope of line YZ = 4/5

(ii.)Line adjacent line YZ is line YX,slope of YX =5/4

b.(i.)Length of line YZ =√41 units

 (ii.)Length of line YX =√41 units

c.WXYZ is a rhombus.

Step-by-step explanation:

a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)

(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)

(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)

So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5

∴m of line YZ is 4/5

(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)

So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25

∴m of line YX is 5/4

b.(i.)To find the length of line YZ,we have to express it as column vector YZ.

Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)

Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units

∴The length of line YZ is √41 units.

(ii.)To find the length of line YX,we have to express it as column vector YZ.

Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)

Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units

∴The length of line YX is √41 units.

c.WXYZ is a rhombus.

What is 7.23 x 10^5 in standard notation

Answers

Answer:  723,000

Delete the comma if needed

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

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

There are 70 days in ten weeks.

Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10-week period?

Answers

Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

What is a proportion?

A proportion is a fraction of a total amount.

At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: Look at the attachment

Step-by-step explanation:

Find the solution of 3x+5/2x+1 = 1/3

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]

On cross multiplying,

3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]

Cross multiply:

[tex]\implies 3(3x+5)=1(2x+1)[/tex]

Expand brackets:

[tex]\implies 9x+15=2x+1[/tex]

Subtract [tex]2x[/tex] from both sides:

[tex]\implies 9x+15-2x=2x+1-2x[/tex]

[tex]\implies 7x+15=1[/tex]

Subtract 15 from both sides:

[tex]\implies 7x+15-15=1-15[/tex]

[tex]\implies 7x=-14[/tex]

Divide both sides by 7:

[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]

[tex]\implies x=-2[/tex]

Question
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

88 m²

Step-by-step explanation:

Formula

Lateral Surface Area (LSA) = 2πrh

Given :

Diameter = 14 m ⇒ Radius = 7 mHeight = 2 m

Solving :

LSA = 2πrhLSA = 2 x 22/7 x 7 x 2LSA = 22 x 4LSA = 88 m²

10 divided by 3.95 times 67=3?

Answers

Answer: (Decimal: x = 0.99746…)

Step-by-step explanation:  

What is the slope of the line that passes through the points (-5, 6)and (-9,−6)? Write your answer in simplest form.

Answers

Answer:

4/5

Step-by-step explanation:

the slope formula is y(2)-y(1)/x(2)-x(1) which is

-6-6/-9-6=

-12/-15=

4/5

Is –43 − –7 positive or negative?

Answers

hello!

First, -43-(-7) is the same as -43+7, which is equal to:-

-36

Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.

It is negative, because there's a minus sign next to it.

note:-

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

Answer:

positive

Step-by-step explanation:

hope this helps.

What is the measure of arc JK?

Answers

Answer:

AS 37=1/2 (45+x)

74=45+x

74-45=x

29=x

or

x=29

ANSWER

ANS= B.29

Help please if you can do it

Answers

Answer:

Associative property

Step-by-step explanation:

Sine the () was moved to another two numbers, it would be the Associative property of addition

Hope this helps :)

The top and bottom lines are parallel. what is the value of X?

Answers

Answer:

B, the answer is B or C believe me

Step-by-step explanation:

Answer is B

Explanation:
(alternate interior angle)
75+45+x=180
120+x=180
x=60

If you take the trinomial (4x2 + 8x + 4) and divide it by (2x + 2), what will you get?

Answers

I believe the answer is 8x+2

1. If ∠KAT and ∠GIF are supplementary angles then_________. *

A. they are both acute
B. one is acute and the other is obtuse
C. they must both measure 90º
D. no determination can be made
2.If ∠DEF and ∠IPN are congruent, they are_________. *

A. complementary angles
B. right angles
C. supplementary angles
D. no determination can be made
3.If the sides of a triangle measure 3, 4 and 5, then the triangle is__________. *

A. acute
B. right
C. obtuse
D. scalene
4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is_________. *
1 point
A. acute
B. right
C. obtuse
D. it cannot be determined

Answers

Answer:

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Step-by-step explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined

hey I need help please help if you can ty!!! :)))​

Answers

Answer:

12.3

Step-by-step explanation:

cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3

the question is in the image

Answers

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

A cuboid has volume of 120cm.
The area of the base of the cuboid is 30cm?
Work out the surface area of the cuboid.

Answers

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.in/question/16866439

Can anyone help with this? I'm having some trouble.​

Answers

14x+7x+21x+28x = 360
70x = 360
X = 5.14

Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.

Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.

Answers

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

What is square?

A square is "a shape that has four sides of the same length and the four angles of right angles".

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Learn more about squares here

https://brainly.com/question/8954712

#SPJ2

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Pls, help me!!!!!
thank you​

Answers

Answer:

62

Step-by-step explanation:

5x2 = 10

3x5=15

5x2=10

3x5=15

2x3=6

2x3=6

__________ (Add togther)

= 62 in

Hope this helps :)

what is the reciprocal of 0.4​

Answers

given:

0.4

to find:

the reciprocal of 0.4.

solution:

it'll be easier if you convert to fraction first, which gives you:

=2/5

then reciprocal:

=5/2

in decimal form= 2.5

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