2- 1/2n=3n+16

I need you to solve the whole equation step by step

Answers

Answer 1

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer 2

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4


Related Questions

Can someone help!!!!

Answers

Answer:

12.7=x

Step-by-step explanation:

y=mx+b

10=.65x+1.75

-1.75       -1.75

8.25=.65x

.65     .65

12.69=x round up

12.7=x

Does anybody know the answer to this

Answers

Answer: I believe it's b

Step-by-step explanation:

\pi = 3.14159265...

It is most likely b

It is definitely b if I’m sure

Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow

Answers

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27

Answers

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

A=lw
So 12*15=180

The answer is c

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Answers

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected

Answers

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?

Answers

Just see what even number 52 can go into

Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6

Answers

Your answer is B. 5x+8

Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?

Answers

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Find the area of the following shape:

Answers

Answer:

Step-by-step explanation:

Area:=45

R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .

Answers

Answer:

24

Step-by-step explanation:

Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive

Answers

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field

Answers

Answer:

it is 679

Step-by-step explanation:

© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =

Answers

ANSWER:: X= -2

HOPE IT HELPS!!! :D

Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours

Answers

Sorry I’m confused is there supposed to be a picture

Which of the following is a rational number?
8
91
JT
48
49

Answers

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

91, 49, 48, 8 are rational number

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope

Answers

Answer:

length of rope [tex](P+3) =12.167[/tex]

Step-by-step explanation:

From the question we are told that

Length of rope on Ground [tex]L_1=3 feet[/tex]

Length of rope from pole base when stretched [tex]L_2=8feet[/tex]

Given length of pole as P

length of the rope is therefore given by

[tex]P+3[/tex]

Generally the Pythagoras theorem is mathematically given by

[tex]P^2+8^2=(P+3)^2[/tex]

[tex]P^2+64=P^2+9[/tex]

[tex]P=9.167[/tex]

Therefore

length of rope [tex]P=9.167[/tex]

length of rope [tex](P+3) =9.167+3[/tex]

length of rope [tex](P+3) =12.167[/tex]

Is 15 ft 20 ft 24 ft a right triangle

Answers

Answer:

No

Step-by-step explanation:

If:

a=15

b=20 then

c (hypotenuse)=25

Answer:

No

Step-by-step explanation:

A right angle is always 90°

u add up all the sides, if it doesn't equal 90 then it's not a right triangle.

so 15 + 20 + 24 = 59 so this is not a right triangle.  

7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.

Answers

Answer:

83  and 91

Step-by-step explanation:  10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

for item 6 which pair of words is the odd one out​

Answers

Answer:

A odd # is 3.5.7 and etc such that you have odd numbers

PLZ HELP WILL GIVE BRAINLEST

Answers

Answer:

The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)

Step-by-step explanation:

First....I'll do it my way

z - 4.5 = -1.5

Add 4.5 on both sides

z - 4.5 + 4.5 = -1.5 + 4.5

z = 3

This should be our answer.....and so who did it right?

Cedric did

Which is the true statement?

Cedric is correct because he used the inverse of subtraction and added 4.5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.

Answers

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
number of hours worked, h. Which equation correctly represents the
situation?
Oe= 9.25h
Oh=9.25e
od=
9.25
h
Oh=
9.25
d

Answers

Huh? I honestly am lost in this world it’s draining my mental health....what if I just end it? Will anyone care? Probably not....... I’m not allowed to feel this way bc my parents say it’s the devil trying to take me away from god but honestly I don’t believe that..

Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.

Answers

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ2

PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT

Answers

Answer:

see below

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASlet's solve:

given function:

[tex] \quad \rm\: f(x) = - 2x +8[/tex]

when x is 0

[tex] \sf \:f(0) = - 2.0 + 8[/tex]

simplify multiplication:

[tex] \sf f(0) = 8[/tex]

when x is 3

[tex] \sf f(3) = - 2.3 + 8[/tex]

simplify multiplication:

[tex] \rm \: f(3) = - 8 + 8[/tex]

add:

[tex] \rm \: f(3) = 0[/tex]

when x is 6

[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(6) = - 12 +8[/tex]

simplify addition:

[tex] \quad \rm\: f(6) = -4[/tex]

when x is 9:

[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(9) = - 18 + 8[/tex]

simplify addition:

[tex] \quad \rm\: f(9) = - 10[/tex]

Answer:

when x =0

f(x)=-2×0+8=8

when x =3

f(x)=-2×3+8=2

when x =6

f(x)=-2×6+8=-4

when x =9

f(x)=-2×9+8=-10

The sum of the quotients of 25x2/5x and the quotient of 8x2/x is

Answers

13*x hope this helped

Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *

Answers

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

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