3 (n - 5) - (6 -2n) = 4n

Answers

Answer 1

Answer:

21

Step-by-step explanation:

3n - 15 - 6 + 2n = 4n

3 n + 2n = 4n + 15 + 6

5 n - 4n = 15 + 6

n = 21

Answer 2

Answer:

 n = 21

Step-by-step explanation:

Use distributive rule: a(b + c) = a*b + a*c

3(n -5) - (6 - 2n) = 4n

3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n

3n  - 15 - 6 + 2n = 4n             {add like term in LHS}

3n + 2n - 15 - 6 = 4n

            5n - 21  = 4n              {add 21 to both sides}

       5n -21 + 21 = 4n +21

                     5n = 4n + 21         {subtract 4n from both sides}

             5n - 4n = 4n -4n +21

   n = 21


Related Questions

if f(x) = 5x + 40, what is f(x) when x= -5

Answers

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

David's airplane trip took 3.8 hours. For one-half of that time, the airplane flew at a speed of 680 miles per hour, and for the rest of the time, it flew at a speed of 740 miles per hour. What distance did David travel?

Answers

Answer:

2,698 mi

Step-by-step explanation:

3.8 hr × 1/2 = 1.9 hr

680 mi/hr × 1.9 hr = 1,292 mi

740 mi/hr × 1.9 hr = 1,406 mi

1,292 mi + 1,406 mi = 2,698 mi

Someone please help me! I only have one attempt left.

Answers

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6.

Answers

Answer: 7

Step-by-step explanation: You first distribute 3, and -2. This gets you 7 = 3t -3 -2t +3. Then you add like terms which gets you, 7 = t.

Find negative square root of 36.

Answers

Answer:

The positive and negative square roots of 36 are 6 and −6 .

root of -36=-6

root of 36=6

plZz mark brainliest

composite numbers greater than 10 but less than 20

Answers

Answer:

10, 12, 14, 15, 16,18,20

Step-by-step explanation:

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)

Hav a nice day

Happy if i get brainliest

The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, composite numbers must be greater than 10 but less than 20

An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"

In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.

To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.

Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

Learn more about the number here:

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If (x + 5)/2 is an integer, then x must be?

Answers

x must be a negative number

What is commutative property

Answers


Commutative property of addition:

The property that states the sum of an addition problem will be the same no matter the order of its numbers.
a + b = b + a

0.18 repeating fraction in the simplest form.

Answers

Answer:

2/11

Step-by-step explanation:

Let's say our fraction is x = 0.1818181818...

The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.

So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.

You get:

100x - x = 18

Which you can solve:

99x = 18

x = 18/99 = 2/11

5y>=75 can someone give me the answer and write how they did it?

Answers

Answer:

The answer is y = 15 (I'm pretty sure)

Step-by-step explanation:

Simplifying

5y = 75

Move all terms containing y to the left, all other terms to the right.

Divide each side by '5'.

y = 15

Simplify

y = 15

Answer:

y≥15

Step-by-step explanation:

5 times 15 = 75 so, y= y≥15

1. In the expression 9x-11.9 is a coefficient

Answers

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

Question 5 of 10
Which of the following functions best describes this graph?

Answers

Answer:

A

Step-by-step explanation:

The function that best describes the graph is y = x²-9x+1+20

What is function?

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given that, a graph, we need to find its function,

The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,

So, the first function is =

y = x²-9x+20

Put y = 0,

x²-9x+20 = 0

Factorizing the equation to get the values of x,

x²-9x+20 = 0

x²-4x-5x+20 = 0

x(x-4)-5(x-4) = 0

(x-5)(x-4) = 0

Therefore,

x = 5, 4

Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.

Hence, the function that best describes the graph is y = x²-9x+1+20

Learn more about function, click;

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What does "when x is an integer" mean?

Answers

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)​

Answers

Answer:

  10 units

Step-by-step explanation:

We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.

  AB² = AC² +BC²

  AB² = 2² +4² = 20

  AB = √20 ≈ 4.47

Then the perimeter is ...

  P = AB +BC +CA = 4.47 +4 +2 = 10.47

  P ≈ 10 units

A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?

Answers

If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540

The actual revenue collected was $450. The difference between $540 and $450 is $90.

The difference between the student and faculty tickets are $2.50-$2, or .50

$90.00 / .50 = 180 student tickets sold.

That leaves 216-180, or 36 as faculty tickets.

180 student tickets at $2 = $360

36 faculty tickets at $2.50 = $90

$360 + $90 = $450

Jan noticed that she has four times as many dimes as quarters. She has one more nickel than dimes. The
coins totaled $6.00. How many dimes does Jan have?

Answers

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature

Answers

Answer:

29x-4

Step-by-step explanation:

7. If f(x) = x2 – 3x, what is f(5)?
a. 4
b. 8
C. 10
d. 16

Answers

The answer is 10, so it would be C

Answer: C

Step-by-step explanation:

this is only the answer if the x is squared

plug 5 in for x

(5)^2-3(5)

25-15= 10

look at image. reflection across x=-1 ​

Answers

Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

|-6| = -|6| Are they equal to each other of which one has more value ?

Answers

Answer:

no. |-6| is +

Step-by-step explanation:

whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6

Answer:

|-6| has more value than -|6|

Step-by-step explanation:

|-6| = -|6| are not equal

|-6| = 6 absolute value of a number is positive no matter what is the sign

-|6| = -6 because the minus is out the absolute sign

50% of what number is 11.72

Answers

Answer:

50% of what number is 11.72 = 23.44

Step-by-step explanation:

50% is half, so simply doube it.

Recycled​ CDs, Incorporated, offers a choice of 5 used CDs for ​$23 with each additional CD costing ​$3 Write a cost function for purchasing 5 or more CDs. What will the cost of buying 10 Ds​ be? Let x represent the number of CDs over 5

Answers

Answer:

-f(x)=23+3x

-The cost of buying 10 CDs will be $38.

Step-by-step explanation:

From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:

f(x)=23+3x, where:

x represents the number of CDs over 5

Using this function you can determine the cost of buying 10 CDs:

x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:

10-5= 5

Now, you can replace the value of x:

f(x)=23+(3*5)

f(x)=23+15=38

According to this, the cost of buying 10 CDs will be $38.

The original price of a pair of shoes is $36.00. Edward buys the shoes for 13% off its original price. Two weeks later Chad buys the same shoes for 29% off its original price. How much more money did Edward spend than Chad on the shoes?

Answers

Answer:

$6.06

Step-by-step explanation:

Edward: 36.00*0.87=31.32

Chad 36.00*0.71=25.25

31.32-25.25=6.06

$6.06

Hope this helps :-)

$6.06 is the answer

Can someone please tell me if this makes sense in English?, is well written and I have used the expressions well? Please I was learning English.

Dear Grievance Manager
I am writing this letter to bring your attention that I am not satisfied with your quality of sending services at "Adornet".

The last month, on 30th July exactly, I bought in a online way in "Adornet" because i live in other country. It was a collectiable necklace, that had an hourglass in its center.

The managers told me that the order should arrive in two weeks, but it arrived in three and a half weeks. I have been a regular client of your business but now I am complety disappointed, becuase when i received the package i notice that it was in bad condition and I found that the hourglass was broken. The way they packed it had been a lot more sloppy than the other times I shopped here.

i called to the shop the same day and I mentioned that they did not pack the necklace with due protection, but the shop assistant refuse to change it or make a refund. She said that it wasn't a store fault.

Please, I have always been satisfied with your services, but this time I think I'm entitled to a refund of my money and I would like to know how I can get it back. I look forward to hearing fron you soon.

Yours truly.
Gaby D.C

Answers

Answer:

Well Written

Step-by-step explanation:

Great Job

how to do this question plz ​

Answers

Answer:

8

Step-by-step explanation:

Gradient = Slope

In y = mx + b

m is the gradient of the straight line

[tex]gradient = 8[/tex]

Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?

Answers

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

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

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

4x - 7 = -3x

What is the answer?

Answers

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

4x + 3x - 7 = -3x + 3x-3x + 3x cancels out and leaves us with zero7x - 7 = 0

2. Add 7 to both sides

7x (- 7 + 7) = 0 + 7-7 + 7 cancels out7x = 7

3. Divide both sides by 7

7x/7 = 7/7x = 1

To make sure our answer is correct we can plug in 1 to x in the problem

4(1) - 7 = -3(1)4 - 7 = -3 : True

Answer:           x= 7

Step-by-step explanation:

4x-7= -3x      First add -3x on both sides

+3x      +3x

7x  -7 = 0

     +7     +7               add 7 to both sides

7x      = 7  

x = 1               divide both sides by 7

A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C

Answers

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

[tex]AB:AC = 1:2[/tex]

Convert to division

[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]

AC = AB + BC;

[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]

Cross Multiply

[tex]2 * AB = 1 * (AB + BC)[/tex]

[tex]2 AB = AB + BC[/tex]

[tex]2AB - AB = BC[/tex]

[tex]AB = BC[/tex]

Divide both sides by BC

[tex]\frac{AB}{BC} = 1[/tex]

Rewrite as

[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]

Write as ratio

[tex]AB:BC = 1:1[/tex]

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex]m:n = AB:BC = 1:1[/tex]

[tex]B(x,y) = B(2,1)[/tex]

[tex]A(x_1,y_1) = A(7,-1)[/tex]

So; we're solving for x2 and y2

[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

Solving for x2;

[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]

[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]

[tex]2 = \frac{x_2 + 7}{2}[/tex]

Cross Multiply

[tex]2 * 2 = x_2 + 7[/tex]

[tex]4 = x_2 + 7[/tex]

[tex]x_2 = 4 - 7[/tex]

[tex]x_2 = -3[/tex]

Solving for y2;

[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]

[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]

[tex]1 = \frac{y_2- 1}{2}[/tex]

Cross Multiply

[tex]2 * 1 = y_2 - 1[/tex]

[tex]2 = y_2 - 1[/tex]

[tex]y_2 = 2 + 1[/tex]

[tex]y_2 = 3[/tex]

Hence, the coordinates of C are: C(-3,3)

once again why is it so dumb???

Answers

Answer: vrey suptuidddd

Step-by-step explanation:

Select the product that shows the correct placement of the decimal point
30.76
x 0.08
0 2.4608
0 24.608
X 246.08
2460.8

Answers

Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

trust me

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