Solve the following multi-step equation: 4(2 - 4x) - 3x = 65

Answers

Answer 1

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

Answer 2

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

Learn more about equations here:

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Related Questions

A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?

Answers

12345 You’re welcome and you can work me bring least

Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?

Answers

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

Is this congruent or not? And is it
SSS
SAS
SSA
AAS
HL

Answers

The triangles are congruent
Triangle JHK is congruent to triangle JLK by SAS

The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm​

Answers

Answer:

64

Step-by-step explanation:

8x8=64

The answer is 64 cm.

8cm*8cm=64cm.

Is this right?? Y=3/5x or is the -6 wrong

Answers

Answer:

according to my calculations for the gradient 3/5 is correct and - 6 is the y intercept so I suppose it's correct

What is the y intercept of the following equation
3x-2y=4

Answers

Answer: y = -2 + 3/2x

Step-by-step explanation:

1. 3x - 2y = 4 (move the variable to the right of the equal)

1.1. -2y = 4 - 3x

2. y = -2 +3/2x (divide both sides by -2)

What is 34.208 in terms of pi.

INCORRECT/SILLY ANSWER = REPORT!

Answers

Answer:

10.8887π.

Step-by-step explanation:

34.208 / π

= 10.8887π.

Evaluate |bc|, given a = 5, b = -3, and c = -2.

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|bc|

a = 5

b = -3

c = -2

Step 2: Evaluate

Substitute:                    |-3 · -2|Multiply:                        |6|Evaluate:                       6

i need help with this question

Answers

Answer:

x=-2/9

y=-46/9

           

Step-by-step explanation:

X=-2/9
Y=-46/9
Mark me as a brain less pls

Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?

Answers

Answer: Fiona baked 45 cookies and Diana baked 30 cookies.

45 + 30 = 75 total cookies baked.

Gary spent 1/6 of his money on baseball cards, 3/10 of the remaining on candy and save the rest. If he spent $6 on baseball cards, how much money did he have in the beginning? Pls anwser

Answers

Answer: $36

Step-by-step explanation:

Let the total amount of money that he had in the beginning be represented by x.

Since Gary spent 1/6 of his money on baseball cards which was $6. This will then be solved further as:

1/6 × x = 6

1/6x = 6

x = 6 × 6

x = 36

The total amount of money that he had in the beginning was $36

HEEEELP PLEASE I NEED HELP DONT SAY "I DONT KNOW" PLEASE

Answers

Step-by-step explanation:

Time taken to complete the race

= Distance / Speed

= 56 miles / (14 miles/hr)

= 4 hours. (B)

Answer:

B. 4 hours

Step-by-step explanation:

If the distance is total of 56 miles and he travels 14 miles per hour,

divide 56/14

56/14=4

4 hours to complete the 56-mile race

(-2,-5) on a graph. I really need to know.

Answers

Answer:

Step-by-step explanation:

The blue dot is where (-2,-5) is on a graph.  Hope this helps!

Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?

Answers

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

Find the surface area of the cylinder. (no units-round to nearest tenth)
10 m
5 m

Answers

Answer: 471.238898359 Or when rounded, 471.2

Step-by-step explanation:

What sports do you think I play‼️ If you get it right you get a prize

Answers

Answer:

Honestly doing this bc im bored but i dont know baseball or football

Do you play baseball? did I get it right?                                                               

On a number line suppose point E has a coordinate of -1 and EG=12 what are the possible coordinates of point G? The possible coordinates for G are__.

Answers

Step-by-step explanation:

We have |E - G| = 12.

=> E - G = 12 or E - G = -12

=> (-1) - G = 12 or (-1) - G = -12

=> G = -13 or G = 11.

Coordonates of G could be -13 or 11.

Answer:

7,1

Step-by-step explanation:

What happens to a figure that is dilated by a factor of 13

Answers

Answer: it gets smaller, 13 times smaller

Step-by-step explanation:

Size of the figure/13

Help please due now!

Answers

Answer:

8

Step-by-step explanation:

3(2)-2(1-2) / 3-2

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

Please help me on this.

Answers

Answer:My best guess is B or C

Step-by-step explanation:

im not the best at solving this but I feel certain it’s either of those

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5

Answers

Answer:

7 / 15= 0.47

Step-by-step explanation:

Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings

Answers

Answer:

Step-by-step explanation:

110.75=10.5h-16

Which expression is equivalent to (0.5x+7)−(1.2x−3)?
(0.5x+1.2x)+(7+3)
(0.5x+(−1.2x))+(7+(−3))
(0.5x+(−1.2x))+(7+3)
(0.5x+1.2x)+(7+(−3))

Answers

(0.5x + 7) - (1.2x - 3)
= (0.5x + 7) -1(1.2x - 3)
= 0.5x + 7 - 1.2x + 3
= (Now, we will combine and group the like terms.)
= 0.5x - 1.2x + 7 + 3
= -0.7x + 10
So, in conclusion, the answer to this question is: -0.7x + 10 which is equal to the third expression: (0.5x+(-1.2x))+(7+3).
Glad I could help!

PLEASE HELP

What is the solution

3/4x+2x-3=-1/4x+21

Answers

Answer:

x=1/27

Step-by-step explanation:

In attachment...

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Answer:

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Step-by-step explanation:

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Answers

Answer:

1) d 2) b

Step-by-step explanation:

1) 36÷24 = 1.5 15×1.5= answer

2) 4÷3.2= 1.25 7.5÷1.25= answer

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

c

Step-by-step explanation:

Answer:

x=30cm

Step-by-step explanation:

The sides are proportionate so you can solve this by using ratios 75/30=x/12

Cross Multiply

30x=900

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25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.

Answers

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                = [tex]\frac{960-480}{2-1}[/tex]

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

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