3/4(3x+6)−14(5x−24) How do I solve this

Answers

Answer 1

Answer:

1362−271x/4

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

  (3/4 * (3x+6))-14*(5x-24)          

STEP  2 :

     

Simplify   3/4

       

Equation at the end of step  2 :

  3                

 (— • (3x + 6)) -  14 • (5x - 24)

  4                

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x + 6  =   3 • (x + 2)  

Equation at the end of step

4

:

 9 • (x + 2)    

 ——————————— -  14 • (5x - 24)

      4          

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

                     14 • (5x - 24)     14 • (5x - 24) • 4

   14 • (5x - 24) =  ——————————————  =  ——————————————————

                           1                    4          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • (x+2) - (14 • (5x-24) • 4)     1362 - 271x

——————————————————————————————  =  ———————————

              4                         4      

Final result :

 1362 - 271x

 ———————————

      4  


Related Questions

Which fraction is equivalent to
- (7/8)?

Answers

Answer:

-14/16

Step-by-step explanation:

The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?​

Answers

Answer: The answer is a decimal.

Step-by-step explanation:

Can someone please answer this i don't understand anything ​

Answers

Answer:

3.6 cm²

Step-by-step explanation:

It's a trapezium

So area

=(2.4+1.6)/2 ×1.8 cm²

4/2×1.8 cm²

2×1.8 cm²

3.6 cm²

What is the value of 2(x+5)=2x+5

Answers

Answer:

X2 + 5 X + 6 = 0

Step-by-step explanation:

the 2 is the power of X so dont mistake it for X2

PLEASE HELP GIVING BRAINLY

Answers

Answer:

D.) 2:40

Step-by-step explanation:

36/9 = 4constant rate

From 10 am to 1 pm is 4 hours so 4*4 = 16 gal

16+9 = 25 gal

25 + 4+4= 33 gal

we only need 3 more gallons so it would be 2:40.

HOPE THIS HELPED :)

In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer: look up alaskan pipeline

Step-by-step explanation:

Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box. The string was feet long before Megan cut it.

Answers

Answer:

[tex]Total = 3\frac{1}{5}ft[/tex]

Step-by-step explanation:

Given

[tex]Pieces = 4[/tex]

[tex]Size = \frac{4}{5}ft[/tex]

Required

Determine the total size of the string

To do this, we multiply the number of pieces by the length of each piece.

[tex]Total = Pieces * Size[/tex]

[tex]Total = 4 * \frac{4}{5}ft[/tex]

[tex]Total = \frac{4 * 4}{5}ft[/tex]

[tex]Total = \frac{16}{5}ft[/tex]

Convert to mixed number

[tex]Total = 3\frac{1}{5}ft[/tex]

What is x/2 + 8 < 10. x < _____

Answers

Answer:

X<4

Step-by-step explanation:

X/2<2 by subtracting 8 from both sides

Then you need to multiple by 2 and get

X<4

John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?

Answers

Answer:

Instead of moving right 4 times and up 7 times, John moved left 4 times and down 7 times.

Step-by-step explanation:

(x + 4, y + 7) = Right 4, Up 7

NOT

(x - 4, y - 7) = Left 4, Down 7

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

Sample Response:The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

SOMEONE HELP MEEE !!!!Which description best fits the graph ?
Always decreasing
Always increasing
Increasing then decreasing
Decreasing then increasing

Answers

It’s decreasing then increasing. The graph starts by going down and to the right, the moves up and to the left. I hope this helps (-:

Ed and Maria’s gross monthly income is $3,700 and monthly debt is $2,500. What is their debt-to-income ratio to the nearest percent?
A.
53%
B.
68%
C.
82%
D.
25%

Answers

I am prettty sure it is b

Answer:

The answer is B. 68%

Step-by-step explanation:

the reason I know this is because I took the test and got a 100% on Edmentum so I hope this helps you guys out.

Please help, thank you if you do

Answers

Answer:

symbolab

Step-by-step explanation:

Answer:

The slope is m=3/5 aka D.

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y=-3x-11

Step-by-step explanation:

..

What is the y-intercept of the graph?

Answers

Answer:

1

intercepts on the y line

Simplify the expression 3.8 - 5.1n - 4n + 5

Answers

Answer:

8.8-9.1n

Step-by-step explanation:

Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.

Lucy has a budget for school stationery of 33, but has already spent 22.47 on books and folders. Let p represent the amount that Lucy can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Answers

Answer:

The inequality is;

p≤ 10.53

where 10.53 is the highest value she can spend on other stationery

Step-by-step explanation:

Here, we want to write an inequality

The amount she has to spend is 33

This means she can spend less than or equal to this amount

she has spent 22.47 and still has p to spend

Mathematically;

p + 22.47 ≤ 33

p ≤ 33-22.47

p ≤ 10.53

can anyone help i have no idea

Answers

Answer:

A=1/9 or  0.1 b=1/16 or 0.0625 and c=1/4 or 0.24

Step-by-step explanation:

I have already learned how to do those

Answer:

there you go

Step-by-step explanation:

a)3-² = 1/3² = 1/9

b) 4-³ = 1/4³ = 1/64

c) 2-^6 = 1/2^6 = 1/64

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown
below.
3.40+0.85x=5.27
0.85X= 8.67
X= 10.2 pounds
Where, if anywhere, did Carina make an error?

Answers

Answer:

Carina made an error in the beginning.

Step-by-step explanation:

Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!

Anwser ( C )

C: Carina should have divided 8.67 by 0.85.

Took the test. Hope this helps

Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?

Answers

Answer:

Approximately 11 feet.

Step-by-step explanation:

Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C

⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]

       = 64 + 144 - 192 x 0.42262

       = 208 - 81.143

       = 126.857

x = [tex]\sqrt{126.857}[/tex]

  = 11.2631

x ≅ 11

The length of the third side of the triangle is approximately 11 feet.

A local fish market is selling fish and lobsters by the pound. The fish, f, costs $5.00 a pound, while the lobster, l, costs $8.00 a pound. The fish market sells 20.5 pounds and makes $131.00. How many pounds of fish and pounds of lobster did the market sell?

Answers

Given :

A local fish market is selling fish and lobsters by the pound. The fish, f, costs $5.00 a pound, while the lobster, l, costs $8.00 a pound. The fish market sells 20.5 pounds and makes $131.00.

To Find :

How many pounds of fish and pounds of lobster did the market sell.

Solution :

Let, pounds of fish sells are x.

So, pounds of lobsters sells are (20.5 - x) .

Total amount of spend = 5x + 8( 20.5 - x)

5x + 8( 20.5 - x) = 131

5x - 8x + 164 = 131

3x = 33

x = 11

Therefore, number of pounds of fish and lobsters are 11 and 9.5 pounds respectively.

Hence, this is the required solution.

I got the answer wrong on the test, although, I am confused if my teacher made a mistake or am I actually incorrect. Can you help me please

Answers

Answer:

I am so sorry to say that you are the one who made the miatake. Better luck next time!

Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9

Answers

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

Each player will start with $5.00 in a treasure account. The winner will be the player who collects the most money. Which outcome will change a player's account the least? (HINT! Use absolute value.)

Answers

Answer:

Find a decoy (-$1.75)

Step-by-step explanation:

Note: The full and organized question is attached as picture below

Each player had $5.00 then they start game. A player can add money to account depending on his/her game. The minimum change in treasure account is caused by game outcome which has corresponding least numerical value from table. The least numerical value from table is for "Find a decoy" which -$1.75 so this out come will make least change in treasure account.

Answer:

ya what the other man said

Step-by-step explanation:

just yah

A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What was the original price of the sweater?

Answers

Answer:

50

Step-by-step explanation:

Bruh

What is the length of line segment BC

Answers

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

As an estimation we are told £3 is €4.
Convert £37.50 to euros.

Answers

Answer:41.43 Euro

there ya go

Answer:

50

Step-by-step explanation:

37.50/3=12.5

12.5*4=50

PLEASE HURRY!!
Mildred classifies the following system of equations.

y = 4x + 3

y = 6x + 1

Select Correct or Not correct for each statement.

Statements:
The system is consistent because the slopes and the y-intercepts are different.
The system is independent because the slopes and the y-intercepts are different.

Answers

The first statement is correct and the second statement is not correct as it is derived from the first statement,

We are given two equations;

y = 4x + 3

y = 6x + 1

From the equation of line in slope intercept form, the formula is;

y = mx + c

where;

m is slope

c is y intercept.

Thus, in the 2 equations given, we can see that the slopes and y-intercepts are different

Now, when two equations have different slopes and different slopes, the system is said to have only one solution and can be said to be consistent.

Now, a system is only said to be independent if it is consistent and has exactly one solution.

This means independency of an equation depends on if it is consistent and has exactly one solution.

Thus, in conclusion, the first statement is correct and the second one is not correct as it is derived from the first statement,

Read more at;  https://brainly.com/question/19282045

Answer:

first correct second wrong

Step-by-step explanation:

1) Hector and Rhonda have subscriptions to different movie streaming 5 points
services each month. Hector's cost is f(x) = 4.5m + 5 and Rhonda's cost is
g(x) = 2.75m + 10.25. How many movies must Hector and Rhonda stream in
a month in order to pay the same amount for that month?

Answers

Answer:

the answer is c 4

Step-by-step explanation:

You ride the subway 45 times per month. Find your monthly cost without purchasing a monthly pass. Then determine whether you should buy the monthly pass.

Answers

Answer:

WE DONT KNOW

Step-by-step explanation:

How much does a ticket cost? How much does the pass cost???

tell us and we help

Answer: cost without monthly pass- $56.25

And you should buy the monthly pass

Step-by-step explanation:

IN question a it say $1.25 for every student so u just 45 times 1.25 and end up with 56.25...

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