Solve the equation
(If possible please show work)

Solve The Equation (If Possible Please Show Work)

Answers

Answer 1

Answer:

[tex]n=-4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2+4(2-3n)=58[/tex]

First, distribute the second term:

[tex]2+4(2)-4(3n)=58\\2+8-12n=58[/tex]

Add the left side:

[tex]10-12n=58[/tex]

Subtract both sides by 10. The left side cancels:

[tex](10-12n)-10=(58)-10\\-12n=48[/tex]

Divide both sides by -12. The left side cancels:

[tex](-12n)/-12=(48)/-12\\n=-4[/tex]

Therefore, the value of n is -4.

Answer 2

⇒2 + 4(2 - 3n) = 58

⇒4(2 - 3n) = 58 - 2

⇒2*4 - 3n*4 = 56

⇒8 - 12n = 56

⇒-12n = 56 - 8

⇒-12n = 48

⇒-n = 48/12

⇒-n = 4

⇒n = - 4

Hence, value of n is - 4


Related Questions

Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.

Answers

Answer:

-5 -√8  or ≈ -7.83

Step-by-step explanation:

Solving the quadratic equation, to find its roots:

x^2 + 10x + 25 = 8           The left side is perfect square(x+5)^2=8                         Getting square root of both sidesx+5 = ± √8                       ⇒ There are 2 rootsx = - 5 ± √8

The smallest root is:

x= -5 - √8 ≈ -7.83

15) Luke needs to fix the given marble slide. Explain what changes Luke needs to make to the given equation
to successfully capture all the stars.
VALO
TTTTTT

Answers

onde esta a altenaativas

If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0

Answers

Answer:

a/b tends to an infinite value

Step-by-step explanation:

If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:

[tex]\lim_{b \to 0} \dfrac{a}{b}[/tex]

Substituting b = 0 into the function

[tex]= \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\[/tex]

Since the limits of a tends to infinity as b tends to zero hence we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0

Arrange 0.1, 0.25, 0.15, 0.5 in ascending order​

Answers

Answer:

0.1, 0.15, 0.25, 0.5

Step-by-step explanation:

0.1, 0.15, 0.25 ,0.5

Please mark brainliest :) have a nice day

Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works. What does the flat pay of $25 represent in this situation? Dependent variable Independent variable Intercept Slope

Answers

Answer:

The flat pay $25 represents the intercept

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e [tex]y= mx+c[/tex]  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

[tex]y= 25+5h[/tex]

comparing both expression we can see that

25 corresponds to c which is the intercept

The flat pays $25 represent the intercept.

Given that,

Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works.

Based on the above information, the calculation is as follows:

y = mx + c

where m= slope

y= dependent variable

x= independent variable

c= intercept

And,

y = 25 + 5h

So it is an intercept

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Jason worked to earn $298.45 and William worked to earn $190.00. If the
both earn $6.35 per hour, how many hours did Jason work?

Answers

Answer:

47

Step-by-step explanation:

298.45/6.35=47 its ez just some division

Answer:

47

Step-by-step explanation:

298.45/6.35= 47

James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially had 202020 tokens, and the game costs the same number of tokens each time. The number ttt of tokens James has is a function of ggg, the number of games he plays. Write the function's formula.

Answers

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

Answer:

-4g + 20

Step-by-step explanation:

I did it on khan and this was right

What is the value of x?

Answers

Answer:

x = 21

Step-by-step explanation:

5x = (90 + 15)

5x = 105

x = 21

Find Y
.............. ​

Answers

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

what is the simplified expression for 74 x 76/ 78

Answers

Answer:

2812/39

Step-by-step explanation:

74 • (76/78)

76/78 = 38/39

74 • 38/39 = 2812/39

Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.

Answers

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Kathy can compare the two measurement because 10 millimeters equals 1 centimeter

This means

10 millimeters of her finger = 1 centimeter of the same finger

100 millimeters of her finger = 10 centimeters of her finger

1000 millimeters of her finger = 100 centimeters of her finger

Therefore, Kathy can compare both measurement ( millimeters and centimeters).

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

a train hundred metre long is movie with a velocity 16 kilometre per hour find the time it takes to cross 1 kilometre long bridge.​

Answers

Answer:

  4 minutes 7 1/2 seconds

Step-by-step explanation:

For the train to completely cross the bridge, it must travel a distance equal to the sum of its own length and that of the bridge.

  time = distance/speed

  time = (1 +0.1) km/(16 km/h) = 1.1/16 h ≈ 0.06875 h

It will take the train 0.06875 hours, about 4 minutes 7 1/2 seconds, to cross the bridge.

Determine the coordinates of A’,B’ and C’ after the transformation r(180)

Answers

Answer:

A'(4, -2)

B'(3, 0)

C'(1, -2)

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

A(-4, 2), B(-3, 0) and C(-1, 2)

ΔABC is transformed by the rotation of 180° about the origin.

Rule for the rotation will be,

(x, y) → (-x, -y)

Coordinates of the image triangle A'B'C' will be,

A(-4, 2) → A'(4, -2)

B(-3, 0) → B'(3, 0)

C(-1, 2) → C'(1, -2)

Line segment is a_____
of a line with two end points

Answers

Answer:

A line segment is a segment of a line with two endpoints

Step-by-step explanation:

A line segment  is the distance between two endpoints. Lines by definition are infinite so a portion of a line is a line segment.

An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)

Answers

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Is 9.56556556... rational or irrational explain

Answers

Answer: Irrational

Step-by-step explanation:

It cannot be expressed as a ratio of two integers

Answer:  Irrational

Step-by-step explanation: Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. ... When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.

Hope this helps^^

What is 3.248 repeating as a fraction

Answers

Answer:

Example 1: 3.248 repeating line over 8

Example 2:  3.248 repeating line over 48

Example 3: 3.248 repeating line over 248

Step-by-step explanation:

Evaluate the following expression for the given values of the variables. Please explain i’m really struggling with this! 3m - 4n; For m= -2 and n= -3 A) -6 B) 6 C) -18 D) 18

Answers

Answer:

Hey there!

Given Expression: 3m-4n

Substitute: 3(-2)-4(-3)

Solve: -6+12

Simplify: 6

6 should be your final answer.

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \sf{ \huge{ \boxed{6}}}}} [/tex]

Option B is the correct option.

Step-by-step explanation:

Given, m = -2 and n = -3

Given expression : 3m - 4n

If the value of variables of algebraic expressions are given, the value of the term it expression can easily obtained by replacing the variables with numbers.

Let's solve:

[tex] \sf{3m - 4n}[/tex]

Plug the values of m and n

[tex] \sf{ = 3 \times ( - 2) - 4 \times ( - 3)}[/tex]

Multiply

[tex] \sf{ = - 6 - ( - 12)}[/tex]

When there is a ( - ) in front of a parentheses, change the sign

[tex] \sf{ = - 6 + 12}[/tex]

Calculate

[tex] \sf{ = 6}[/tex]

Hope I helped!

Best regards!!

Write a survey question for which you would expect to collect categorical data.

Answers

Answer:

My question would be:

What is your favorite movie genre?

Step-by-step explanation:

A survey is a series of questions asked to a group of people with the intention of gathering data or detecting a public opinion on a certain matter.

To carry out a good survey, the following are required:

- Establish the objectives of the survey to be carried out.

- Choose the population to which the survey will be directed.

- Design the survey with the necessary questions to obtain the established ones.

- Apply the survey and collect the data.

y = 4x2 - 16 has how many real roots?
A. 0
B. cannot be determined
C.1
D.2

Answers

Answer:

2 real roots

Step-by-step explanation:

y = 4x2 - 16

Set equal to zero

0 = 4x2 - 16

Add 16 to each side

16 = 4x^2

Divide by 4

16/4 = 4x^2/4

4 = x^2

Take the square root of each side

sqrt(4) = sqrt(x^2)

±2 =x

There are 2 real roots

solve the system of equations​

Answers

Hey, there!!

Given that:

y = 3x.........(i)

[tex]y = {x}^{2} + 3x - 16.......(ii)[/tex]

Putting the value of y in equation (ii)

[tex] {3x}^{} = {x}^{2} + 3x - 16[/tex]

[tex] {x }^{2} - 16[/tex]=0

[tex]( {x)}^{2} - {4}^{2} = 0[/tex]

[tex](x + 4)(x - 4) = 0[/tex]

Therefore,

Either Or

(x+4)=0 (x-4)=0

x= -4 x= 4

so, x= (+ -)4

And if you wanna get value of y, just keep value of x in equation (i).

y= 3x

y= (3×4) or (3×-4)

y= 12 or -12

{As it is the quadratic equation it has two values. }

Hope it helps....

Determine what type of model best fits the given situation: The temperature of a cup of coffee decreases by 5 F every 20 minutes.

Answers

Answer:

A first-order polynomial best fits the given situation.

Step-by-step explanation:

The statement indicates a constant rate of change in a given time interval, so the model that best fits the given situation is a first-order polynomial model, which is a generalized form of a model with direct proportionality. That is:

[tex]T = T_{o} + r \cdot t[/tex]

Where:

[tex]T[/tex] - Current temperature, measured in Fahrenheit degrees.

[tex]T_{o}[/tex] - Initial temperature, measured in Fahrenheit degrees.

[tex]r[/tex] - Temperature rate of change, measured in Fahrenheit degrees per minute.

[tex]t[/tex] - Time, measured in minutes.

The statement describes the temperature rate of change, which is equal to:

[tex]r = \frac{5\,^{\circ}F}{20\,min}[/tex]

[tex]r = \frac{1}{4}\,\frac{^{\circ}F}{min}[/tex]

Simplify the expression 3a + b, when a=1.4 -2x and b=-0.2x + 1.7*

Answers

Answer:5.9-6.2x

Step-by-step explanation:

a=1.4-2x

b=-0.2x+1.7

 3a+b

=3(1.4-2x)+(-0.2x+1.7)

=4.2-6x-0.2x+1.7

=4.2+1.7-6x-0.2x

=5.9-6.2x

Answer:

Step-by-step explanation:

3a + b

a = 1.4 - 2x

b = -0.2x + 1.7

3 ( 1.4 - 2x ) +  -0.2x + 1.7

= 4.2 - 6x - 0.2x + 1.7

= 4.2 + 1.7 - 6x - 0.2x ( by rearranging the like terms )

= 5.9 - 6.2 x

hope this helps

plz mark as brainliest!!!!!!!!

LAST QUESTION -4/5 divided by (-7/6)

Answers

Answer:

24/35

Step-by-step explanation:

(I posted an explanation on your previous question explaining how to do these problems.  You can go read that if you want because my explanation applies to any question in this concept.)

An amoeba divides to form two amoebas after one hour. One hour later, each of the two
amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.

Answers

Step-by-step explanation:

Given that the number of amoeba is 1

in 1 hour it divides to form 2

1 hour later (2 hours): 1 amoeba(forms 2), 1 amoeba(forms 2)= 4  

1 hour again(3 hours):   1=2,1=2,1=2,1=2 hence a total of 8 after 3 hours

Question and answers

1. How many amoebas are there after 1 hour

=2 amoebas

2. How many amoebas are there after 2 hours

=4 amoebas

3. Write an expression for the number of amoebas after 6 hours.

let the number of amoeba be y, and the time be n

so in 6 hours n= 6

[tex]y=2^n[/tex]

[tex]y= 2^6\\\\y= 64 amoebas[/tex]

What is 16/27 as a decimal rounded to 3 decimal places?

Answers

Answer:

o.593

Step-by-step explanation:

The required value of the decimal equivalent of the given fraction is 0.592.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

If the fractions have the same denominators then their numerators are added keeping the denominators as the same.

For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.

The given fraction is 16/27.

In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,

16/27 = 0.592

Hence, the given fraction 16/27 can be written as decimal as 0.592.

To know more about fraction click on,

https://brainly.com/question/10354322

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As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type. How do you make a frequency graph to display the data? Photo included. Please answer, thanks!

Answers

Answer:

Please find attached the log graph of the count (frequency) of the elevator types

Step-by-step explanation:

The number of different elevators types = 9

The maximum count of an elevator type = 96,602

The minimum count of an elevator type = 45

The mean count or number of elevator per type = 8,454

The standard deviation of number of elevator per type = 20,599.6

Given the wide difference between the mean and the standard deviation, the values of the count or frequency can be converted into the equivalent ㏒₁₀ values to flatten the frequency bar chart or histogram as follows;

Type                   [tex]{}[/tex]                 Count (f)                                   ㏒₁₀ (f)

Passenger elevator           66,602                                     4.823487

Freight elevator                 4,140                                         3.617

Escalator                            2,663                                         3.425371

Dumbwaiter                        1,143                                          3.058046

Sidewalk                               943                                           2.974512

Private elevator                    252                                          2.401401

Handicap lift                        227                                          2.356026

Manlift                                   73                                            1.863323

Public elevator                      45                                           1.653213

The information can then be easily graphically displayed.

1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.
If the total area of Texas is 267,339 square miles, about what percent of the total
land area is within 200 miles of Austin?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no

Answers

Answer:

47%

Step-by-step explanation:

Radius of Austin = 200 miles

Total area of Austin = [tex]\pi r^{2}[/tex]

where 'r' = radius of Austin

From this formula,

Area of Austin = [tex]\pi (200)^2[/tex]

                        = 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]

= [tex]\frac{125663.71}{267339}\times 100[/tex]

= 47%

In this question, information regarding population of Texas will not be used.

In your gym class, your teacher can create teams of 4 for a relay race and have no students left over.The next day, your teacher creates teams of 5 for dodge ball and has no students left over. What are some possible numbers of students in your class

Answers

Answer:  20,40,60,80,100

Step-by-step explanation:

The possible  numbers has be the multiples of 5 and 4 in other words the LCM.

The LCM of 5 and 4 are,

20,40,60, 80,100 ....

Use inverse operations to complete the second equation each time

Answers

Answer:

a) 55-42=13

b) 29-10=19

c) 65÷5=13

d) 72÷8=9

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