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:

https://brainly.com/question/14686792

#SPJ6


Related Questions

Write a division number story with an answer of 3/5

Answers

Answer:

Tom had 5 friends with him at the beach.

John came by with out his shirt on, showing his muscles.

2 of Tom's friends left with John

What fraction of Tom's friends were left with Tom?

Step-by-step explanation:

Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Expression is 3/5.

To write a division number story with an answer of 3/5:

Jacob and his 4 friends went to pizza house.

That means, the total number of people = 5.

Jacob bought 3 pizzas and share with his friends.

So, each of them get 3/5 pizzas.

Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.

To learn more about the division;

brainly.com/question/13263114

#SPJ2


Mikayla downloaded 64
pictures from the cloud to her laptop.
These pictures took up 192 megabytes
of space on her laptop. Each picture
took up the same amount of space.
How many megabytes do 25
of these pictures take up?

Answers

Answer:

25 pictures will take up 75 Megabytes of space.

Step-by-step explanation:

Given that:

Number of pictures downloaded = 64

Space taken by pictures = 192 MBs

Unit rate = [tex]\frac{192}{64}[/tex]

Unit rate = 3 Megabytes per picture

Now,

The space 25 pictures would take,

25 pictures = 3*25

25 pictures = 75 Megabytes

Hence,

25 pictures will take up 75 Megabytes of space.

Help please due now!

Answers

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST

Answers

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

Choose Yes or No to tell if each statement is true.

A rhombus is a trapezoid.
Choose yes or no

A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no

A rectangle is also a rhombus.
Choose yes or no

A rectangle is also a parallelogram.
Choose yes or no

Please say yes or no for every answer.

Answers

Answer: No, No, No, Yes

How many people work in the factory? When- 800 people live in the town. 15 out of every 50 adults work in the factory. The town has 200 children aged 17 or younger. 18 is considered the age for being called an adult. Children under 18 may not work in the factory.

Answers

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Could someone good at geometry help me please. I will mark brainliest!! :)

Answers

The angle to the right of 78 is 102 the angle to the left of 102 is 78 the one under the 78 is 102 the one above 78 is 102 the one under the 102 is 78 and the one to the left and down of 78 is 78

One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?

Answers

Answer: 25 hours

Step-by-step explanation:

From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:

= $165.75 / 13

= $12.75.

The number of hours that she would have to work the next week to earn $318.75 will be:

= $318.75 / $12.75

= 25 hours

What is the minimum, First Quartile (Q1), Median, Third Quartile, Maximum for 5,6,8,8,9,10,13,14,16,16,16,18,19, 21,22,23,25 of the data set?

Answers

The answer above should be correct, I believe it is , but can you please mark me BRAINLEST?

What's the answers to Part A and Part B?​

Answers

Answer:

there's nothing there

Step-by-step explanation:

PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4

a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2

+ graph

Answers

C. x=3/2 y=1/2

Hope this helps!

What is 11.242/22 eqaul?


I need ASAP

Answers

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?

Answers

Answer:

$378

Step-by-step explanation:

(9000 x 0.70%) * 6 = 378

-9m - 4 = -7m + 6 solve for m

Answers

Answer:

m = -5

Step-by-step explanation:

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

solve each equation. 7(x+4)-6(x+3)=x+5

Answers

Answer:

7(x+4)-6(x+3)=x+5

or , 7x + 28 - ( 6x + 18 ) = x + 5

or , 7x + 28 - 6x - 18 = x + 5

or , x + 10 = x + 5  

The equation is incorrect !!

Answer:

7(x+4)-6(x+3)=x+5

We simplify the equation to the form, which is simple to understand
7(x+4)-6(x+3)=x+5

Reorder the terms in parentheses
+(+7x+28)-6*(x+3)=x+5

Remove unnecessary parentheses
+7x+28-6+*(+x+3+)=+x+5

Reorder the terms in parentheses
+7x+28+(-6x-18)=x+5

Remove unnecessary parentheses
+7x+28-6x-18=+x+5

We move all terms containing x to the left and all other terms to the right.
+7x-6x-1x=+5-28+18

We simplify left and right side of the equation.
0x=-5

0=-5

The left and right sides are not equal, therefore there is no solution. This equation is invalid.

(hope that helps you out :)

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

HELP PLz it is hard answer both of them

Answers

Answer:

6.  162

7. c

Step-by-step explanation:

Answer:

6. 162

7. C

Step-by-step explanation:

6. Replace the values of a and b into the expression:

8a + 6b = 8(12) + 6(11)

             = 96 + 66

             = 162

7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:

5(2f+4) = (5 × 2f) + (5 × 4)

            = 10f + 20

Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?

Answers

Answer:

For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.

3x+2y=213

x  + y =87

We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.

3x+2y=213

3(x+y=87) --> 3x+3y=261

Now we can eliminate x.

  3x+2y=213

-  3x+3y=261

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

        -y=-48  

Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?

Answers

Answer:

315

Step-by-step explanation:

So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.

Since you want to find the number of adults, just multiply.

7/18 x 810

You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying

7 x 45

=315

So, 315 is your answer

Answer: 315 Adults.

Step-by-step explanation:

Let the number of adults is x.

Then the number of kids is (810-x).

The ratio of kids to adults is

810 - x/x = 11/7

It is your basic equation, which you get from the condition.

To solve it, cross multiply; then simplify

7*(810-x) = 11x

7*810 - 7x = 11x

7*810 = 11x + 7x

7*810 = 18x

x = 7 x 810/18 = 315.

please help im crying

Answers

Ok I gotcha I’ll let

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help

Answers

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

Will the given side lengths form a right triangle?

1, 2, 5

Answers

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.

George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n

Answers

25(cards per month) x12(months in one year) =300 cards at the end of one whole year

Answer:300

Step-by-step explanation:

25 times 12

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.

Answers

Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

The rate of change in the population of the Siberian tigers loses 65% every two years.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:

[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]

Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.

Answers

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park?

Answers

Answer:

150 kids

Step-by-step explanation:

If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.

150 kids because if you did the percents right then you would get the total and then divide it

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Other Questions
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers? You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon. who here stan's nct? What is solution of 5(x - 3)=4(x + 2) This image shows Mount Fuji in the background and a Shinto temple in the foreground. How does this image best reflect the influence of nature on Japanese culture? It shows the advanced technology used to create the buildings. It shows the physical barriers that have created different regions and customs. It shows buildings being in harmony with the environment. It shows a variety of physical features and life at different elevations. ANSWER ASAP!!!!!! I WILLL GIVE BRAIN! (2x-4)+(5x-13)+(x+4) What caused Colombian exchange which mineral is composed of calcium and fluorine? The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides? B. Your little brother is talking about the different seasons and months of the year.Complete his sentences with appropriate vocabulary to describe seasons andmonths. (10 points)1. Hay cuatro2. Enero es en3. Mayo es en4. Julio es en5. Octubre es en Write an equation in slope-intercept form perpendicular to the given equation through the given pointY = -3x + 4(6,-2) What is the equation of the line?y= 1/2x-4y = 2x + 2y = 2x - 4y =1/2x+2 Please answer this questions step by step what is 5+1 please hurry If you spin the spinner, what is the probability of the pointer landing in the y section Which one of the sentences is a run-on sentence? Changes in the economy determine changes in the jobs available, many people will change jobs often during working lives. The proportion of service workers to other types of workers has changed considerably. Manufacturing industries continue to adjust to the evolving global economy. Technological developments have a major impact on the skills needed in the economy. None of these are run-on sentences. True or False: In many classic pieces of literature, interpreted meaning has shifted away from authorial intent as cultural norms shift.1. True 2. False What would be the correct order of operations to evaluate the following expression?Multiply, Multiply, Add, Subtract Multiply, Add, Subtract, SubtractMultiply, Subtract, Add, AddMultiply, Subtract, Add, Subtract SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT