Expand and fully simplify 3(x + 1) + 2(3x + 4)​

Answers

Answer 1

Answer:

[tex]\Large\boxed{\sf{9x+11}}[/tex]

Step-by-step explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

[tex]\Longrightarrow: \boxed{\sf{9x+11}}[/tex]

Therefore, the final answer is 9x+11.

I hope this helps. Let me know if you have any questions.


Related Questions

I need a little help here

Answers

Answer:

24

Step-by-step explanation:

The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.

Question 2 of 10
Solve (x – 4)2 = 5.
O A. x=-4+25
O x X
O B. x=514
O C. x = 9 and x= -1
O D. x = 4+15

Answers

Answer:

No answer

the answer is 6.5

Step-by-step explanation:

[tex](x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5[/tex]

anyone know how to do #14 and #15?????

Answers

Answer:

He Melanie ,  use SOH  CAH  TOA to remember the trig functions

Step-by-step explanation:

for 14 they hyp = 22 and we know one angle of 45°,  we also know that the triangle has a right angle or 90°  and by inspection we can tell that the other angle is also going to be 45°   so we know X and Y will be the same length, is why this is a good observation.  

Use one of the trig functions with H in it b/c you know Hyp is 22,  so,  

SOH  =  Sin(Θ)= Opp / Hyp  

Sin(45) = Opp / 22

Sin(45) * 22 = Opp

[tex]\sqrt{2}[/tex] / 2  * 22 = opp

11*[tex]\sqrt{2}[/tex] = opp     is the exact answer,   if  you would like some decimal places, it's 7.7781 units,  both X and Y

for 15  we can use SOH again for the bigger triangle.  we know the Hyp is 24 and the angle is 30°

Sin(30) = Opp / 24

Sin(30) *24 = Opp

12 = Opp         ( Because I know Sin(30)  = 1/2 )

Opp is the upright between the two triangles

Use CAH   Cos(Θ) = Adj / Hyp

Cos(30) = Adj / 24

Cos(30) * 24 = Adj

[tex]\sqrt{3}[/tex] /2 *24 =Adj

12[tex]\sqrt{3}[/tex] = Adj

Z = 12[tex]\sqrt{3}[/tex]   or if you want some decimals 20.7846

Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths

then

Y = 12

You could use SOH or CAH  to find the Hyp but, lets just resort to Pythagoras,  and use  his formula to find Hyp

Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]

Hyp = [tex]\sqrt{288}[/tex]

hyp = 16.97

X = 16.97

:)

angles of circles

I don’t know how to solve circles please help

Answers

Answer:

55degrees try it I just wanted to help.

A singular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?

Answers

Answer: 432

Step-by-step explanation:

28 × 24 = 672

24 × 20 = 240

Difference = 672 - 240

(3,-2) (4,6) what is the slope

Answers

[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]

Which is the product of 7/9 and 6?
A. 1 4/9
B. 3 7/9
C. 4 2/3
D. 7 5/7

Answers

Answer:

C. 4 2/3

Step-by-step explanation:

1) Use this rule: a/b * c = ac/b.

7 * 6/9

2)  Simplify 7 * 6 to 42.

42/9

3) Simplify.

14/3

4) Convert to mixed fractin form.

4 2/3

Answer:

The product of 7/9 and 6:

[tex]\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\[/tex]

Step-by-step explanation:

the answer is the B

Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.

Because the 4 is the whole number

And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3

So we have 4 2/3

the answer is the B


Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.

Answers

Answer:

-7, -5, -3, -1

Step-by-step explanation:

Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:

[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]

[tex]3(2x + 6) = 4(x + 4) - 12[/tex]

[tex]6x + 18 = 4x + 16 - 12[/tex]

[tex]6x + 18 = 4x + 4[/tex]

[tex]2x = - 14[/tex]

[tex]x = - 7[/tex]

So the four consecutive odd integers are -7, -5, -3, and -1.

Can someone please help me? :(
A. 13
B.11
C.7
D.12

Answers

[tex]\bold{ANSWER:}[/tex]
D. 12

[tex]\bold{EXPLANATIONS:}[/tex]

~ More than 30 - 39 pledges.

7 + 4 + 1 = 12

Which three side lengths cannot form a triangle

Answers

The length of any two sides of triangle must add up to more then the length of third side

Answer:

The answer sorta varies, for example

"1² + 2² = 3² " cannot form a triangle, same with 4² + 5² = 10², there are actually more numbers but im not sure XD

LMK if this is wrong <3

Write down the next decimal number. 0,79; 0,76; 0,73; 0,7; ___​

Answers

Answer:

0.69

Step-by-step explanation:

Hope this helps..

A group of people gathered to watch a baseball game. While talking, they realized that 12 of
them are Boston Red Sox fans, and 18 of them are fans of other teams.
What is the probability that the favorite team of a randomly selected baseball fan is the
Boston Red Sox?
Write your answer as a fraction or whole number.
P(Boston Red Sox) =
Submit

Answers

Answer:

P(Boston Red Sox) = 2/5

Step-by-step explanation:

The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.

It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.

If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.

PLS HELP ME $!!!!!!! ​

Answers

Step-by-step explanation:

(-1)⁴ - 11 = 1 - 11 = -10

0⁴ -11 = -11

1⁴ - 11 = -10

2⁴ -11 = -3

Will mark brainlyest!!

Answers

Answer:

98

the answer is 98 but I just guessed

Need help with this geometry question!

Answers

Answer:

[tex]v = \pi \: {r}^{2} \: h \\ but \: v \: = 1573\pi \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{1573}{121} \\ h = 13 \: units[/tex]

I hope it's helpful

⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️​

Answers

Answer: m∠MON = 57°

Step-by-step explanation:

Your principal believes that students spend 2 hours on homework each night. However, based on the amount of time you spend on Honors Math 3 you believe it’s more than 2 hours.

What is the null hypothesis and alternative hypothesis to represent this situation?

Answers

Answer: The principal believes that students have been taught adequately in class and should not spend too much time on homework since it's meant to be a revision of what they have learnt. However a maths honour 3 students spends thorough time studying and has the understanding that Mathematics is time consuming, hence will think otherwise.

The student feels that maths homework may take the time meant for all other subjects judging by the time he/she dedicates to work.

Step-by-step explanation:

Mike walks mile in half an hour. Which of the following represents his walking speed in miles per
hour?

A. 1/2 mph
B. 1/8 mph
C. 8 mph
D. 3/4 mph

Answers

Answer:

Step-by-step explanation:

distance = rate [tex]*[/tex] time

1 (mile) = rate [tex]*[/tex] 0.5 (hours)

[tex]1/0.5 =[/tex] rate

rate = 2 mph...

That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.

35, 150, 305, 420, 535, 650 find the last number

Answers

Answer:

765

Step-by-step explanation:

each time it is adding 115 to the number before it.

650+115=765

Answer: 8

I hope this helps! :)

30
find the length of AB.
D 20 C
Show your work

Answers

You use Pythagoras theorem for this:
You add 52 and 20 for AC which is 72
So you do
X^2 = 72^2 + 30^2
X^2 =5184 + 900
X^2= 6084
X = 6084 squared root
X= 78

1/2 + 1/2 what is the answer to this problem

Answers

Answer:

1 is the answer

Step-by-step explanation:

1/2+1/2 is 2/2 which is equivalent to the number 1!

The correct answer would be 1

Pick a square that doesn’t belong with the others and explain why you made your choice.

Answers

the third square (8 + 7). all other squares equal 14, but that one equals 15


Re-write the quadratic function below in Standard Form
y=8(x+6)(x-2)

Answers

Answer:

y = 8x^2 + 32x - 96.

Step-by-step explanation:

y=8(x+6)(x-2)

= 8(x^2 - 2x + 6x - 12)

= 8(x^2 + 4x - 12)

= 8x^2 + 32x - 96.

answer should be given in m/s​

Answers

Answer:

1.2 m/s

Step-by-step explanation:

when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2

many persons can ride the elevator if each weighs 45kg?

Answers

Answer:

I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate

Dafna makes sport jackets. she is paid d dollars per hour , plus a piece rate of p dollars for each jacket .last week she made j jacket in h hours . write an expression for her total earnings .

Answers

Cost price is the total amount paid for the jacket while the selling price is the amount they are sold. The expression for her total earning willbe t(d) = hd - jp

Calculating total earning

Cost price is the total amount paid for the jacket while the selling price is the amount they are sold.

Total earning = Selling price  - Cost price

Find the cost price

If Dafna makes sport jackets and she is paid d dollars per hour, plus a piece rate of p dollars for each jacket.

Cost price = hd

x is the number of hour

Selling price = jp

total earning = hd - jp

Hence the expression for her total earning willbe t(d) = hd - jp

Learn more on functions here: https://brainly.com/question/26857518

#SPJ1

Which polynomial represents the sum below?

Answers

Answer:

A

Step-by-step explanation:

Shift the bottom trinomial to where like terms match up where it looks like this.

2x²+5x+4

5x²+8x

To make it easier to understand add a placeholder +0 to the trinomial so everything matches up so it looks

like this.

2x²+5x+4

5x²+8x+0

Finally, add like terms and you should end up with this. 7x²+13x+4

55% of what number is 33?

Answers

Answer:

18.15

Step-by-step explanation:

55% = 55/100

33 = 33/1

33/1 x 55/100

33 x 55 = 1815

1 x 100 = 100

1815/100 = 18.15

Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class.


art: mean absolute deviation of 2. 1


Spanish: mean absolute deviation of 0. 8


creative writing: mean absolute deviation of 2. 7


In which elective were her scores the most spread out?

Answers

Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.

What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean. Hence, a higher value of the mean absolute deviation means that the data-set is more spread out.

In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

A store sells 4 cans for ​$11. what is the price of 9 cans​?

Answers

Answer:

24.75

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

Solve

Since the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.

[tex]11 / 4 = 2.75\[/tex]

Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.

[tex]2.75 * 9 = 24.75\[/tex]

That said, the answer is 24.75$

Answer:

$ 24 . 75

Step-by-step explanation:

Price PER can =   11 /4    

Multiply this for 9 cans

9 * 11/4 =

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