Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

Answers

Answer 1

Answer:

-21/11

Step-by-step explanation:

Answer 2

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]


Related Questions

e-2=13 pls someone help me

Answers

Answer: E=15

Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15

Answer:

15

Step-by-step explanation:

to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13

√600 and ∛56 and show work

Answers

Answer:

√600 is around 24.5 while ∛56 is around 3.83

Step-by-step explanation:

Method: TRIAL AND ERROR

For √600, we can follow trial and error method:

30^2 is 900, so too big

20^2 is 400, so too small

25^2 is 625, too big

24^2 is 576, too small

Considering that 600 is between 24^2 and 25^2, we can try in between:

24.5^2 is 600.25, which is very close, therefore 24.5 is the answer

For ∛56, we can also follow trial and error method:

5^3 is 125

4^3 is 64

3^3 is 27

Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;

3.7^3 is 50.6

3.8^3 is 54.8

3.9^3 is 59

3.85^3 is 57

3.84^3 is 56.6 (still larger)

3.83^3 is 56.1

So the answer is 3.83

But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.

Hope this helped. :)

~ Janice, year 10

Name a pair of acute vertical angles

Answers

Heres a answer for your question

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?

Answers

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

Which of the following is true about the expression c5+(−9c2)+40c+7d7e3−5c3+4d?

A. There are no negative coefficients.

B. The coefficient of the first term is 0.

C. The coefficient of the third term is c

D. The coefficient of the fourth term is 7.

Answers

Answer:

D. The coefficient of the fourth term is 7.

Step-by-step explanation:

Took the test got it right

The true statement about  c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d is

D. The coefficient of the fourth term is 7.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d.

There are negative coefficients - 9.

The coefficient of the first term is 1.

The coefficient of the third term is 40.

The coefficient of the fourth term is 7 is true.

learn more about numerical expressions here :

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In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.​

Answers

Answer:

Jamal has the the better record

Answer:

This is the sample response from Edge

Step-by-step explanation:

Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.

Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.

Answers

Answer:

$3.6

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

4x - 5y = 10 solve for y=mx+b​

Answers

-5y = 10 - 4x

y = - 10 - 4x over 5

y = - 2(5 - 2x) over 5

hopefully this is correct

A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?

Answers

Answer: 357.91 or 358 miles

Since 24 kilometers is equal to 14.9129 (or 15 miles), I multiplied 24 by 24. 24 hours in a day x 24 kilometers. The results were 576 kilometers. I then converted 576 km into miles which gave me 357.91 and I found my answer. I hope this helps you !!!

I will give brainlest if the answer is right Enter the missing numbers in the boxes to complete the table of equivalent ratios.

Answers

Answer:

2 , 10 , and 15 in order of missing spaces, up to down

Step-by-step explanation:

You find the ration 8/20 and find out if the ration is simplifiable and turn it to 2/5 which you multiply the rest of the answers too. Hope this answers your question :)

Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?

Answers

Answer:

358

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

What is the answer to 12/45x5+6

Answers

Answer: 24.75

Step-by-step explanation:

First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75

It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:

Answers

Answer: $ 3.57

Step-by-step explanation:

Given: Cost for each sandwich at the local deli shop = $2.55

They sell it at selling price = 140% of 2.55

[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]

[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]  

i.e. Selling price = $ 3.57

Hence, The sandwich sells for $3.57.

Answer:

3.57

Step-by-step explanation:

Simplifying Expressions ,

Answers

17? Let me know if it’s right

6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .

Answers

19.625 ft
3.14(2.5 squared) =19.625

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

Yo can someone please help me.

Answers

Answer:

44670

Step-by-step explanation:

5.67*1000+3.9*10000

On a certain Friday night, the local baseball stadium earned $867.50 in revenue from ticket sales on 310 tickets. Ticket prices are $3.00 for adults and $2.50 for children. How many adults attended the game on Friday?

Answers

Answer:

185

Step-by-step explanation:

Found by solving the system of equations:

3x+2.5y = 867.5

x+y = 310

(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)

Answers

9514 1404 393

Answer:

  18 cm^2

Step-by-step explanation:

Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.

_____

A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.

  AC = AB·cos(75°)

  Area = (1/2)AB·AC·sin(75°)

  Area = (1/2)(AB²)cos(75)sin(75°)

  = (1/4)AB²·sin(150°) . . . using the double-angle identity

  = (1/4)(12 cm)²(1/2)

  Area = 18 cm²

__

The useful relations are ...

  Cos = Adjacent/Hypotenuse

  cos(75°) = AC/AB   ⇒   AC = AB·cos(75°)

and ...

  Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them

  Area = (1/2)AB·AC·sin(75°)

Another identity we used here is ...

  sin(2α) = 2sin(α)cos(α)   ⇔   sin(α)cos(α) = (1/2)sin(2α)

Putting these together, the formula for area we used was effectively ...

  A = (1/4)AB²sin(2·75°)

A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?

Answers

Answer:

3 ft

Step-by-step explanation:

In a school election, 34 of the students vote. There are 1464 ballots. Write and solve an equation to find the numbers of students.

An equation is __?__ =1464.

There are a __?__ total of students.

Answers

Answer:

1464*.34=amount of students

Step-by-step explanation:

Which graph represents the function f(x) = |x|-4?

Answers

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.

Answers

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)

Answers

Answer:

B. 3x+2

Step-by-step explanation:

A tennis racket that normally sells for $80 now
sells for $64. In lowest terms, what fraction
represents the former price compared to the
current price?
A. 3/4
B. 4/5
C. 6/5
D. 5/4

Answers

A it went from 80 to 64 if you multiply 80 by 75% aka 3/5 you get 60 which is the closest answer

Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?

Answers

Answer:

26 miles every hour

Step-by-step explanation:

she drove 572 miles for 22 hours

???????                      for 1 hour

572/22= 26 miles per hour

Answer: 26 miles

We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.

Let m represent miles, and h represent hours.

m ÷ h = 26

Remember to always check your answer.

26 x h = m

Therefore, the answer is 26. Hope this helps you!

What is .24 written as a percent?

Answers

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

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You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You feel you can earn an APR of 10.5 percent compounded monthly and plan to save $485 per month until you reach your goal. How many years will it be until you reach your goal and enjoy your well-deserved vacation?

Answers

Answer:

41.8 years

Step-by-step explanation:

From

[tex]A = P(1+r/n)^{nt}[/tex]

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years

John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants

Answers

Answer:

Cost of ties and pants = $52.5

Step-by-step explanation:

Total cost of ties = $19.99

cost of dress pants = $64, discountted by 30%

discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2

∴ Discounted price of dress pants = 64 - 19.2 = $44.8

Total cost of ties and dress pants = 19.99 + 44.8 = $64.79

Now, let us apply the coupon

coupon = $10 off every purchase of $50 or more

Purchase amount = $64.79 ;  therefore coupon applies.

Applying coupon

Purchase amount = 64.79 - 10 = $54.79

sale tax = 6% or purchase price

sale tax = 6% × 54.79

sale tax = 0.06 × 54.79 = $3.29

∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5

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