Mathematics College

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

What is the quotient of 1+ 3 Over 4 and 2 over 5

Answers

Answer:

2 1/2

Step-by-step explanation:

(These are fractions)

1+3 ÷ 2

4 5

(Simplify)

4 ÷ 2

4 5

(Same denominator)

20 ÷ 8

20 20

(Divide)

2 1/2

please help me with this answer​

Answers

i think it’s A cuz if u add normally A is the answer u get

Answer: B. 2x^4+12x^2-8

Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4

x^2 x 2x^2+4x+3x+2-4

2x^4+12x^2-8

I think its B because the question does say that you have to multiply.

a rectangular tray is 820mm long and 400mm wide .find its area in m²​

Answers

Answer:

0.328 [tex]m^{2}[/tex]

Step-by-step explanation:

820mm = 82cm = 0.82m

400mm = 40cm = 0.40m

0.82 x 0.40 = 0.328

If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m²

Using this formula

Area=Length × Width

First step is to covert from millimeter to meter

1 millimeter=0.1 centimeter

Hence:

Length=820mm×0.1÷100

Length=0.82m

Width=400mm×0.1÷100

Width= 0.40m

Let plug in the formula

Area=0.82m x 0.40m

Area= 0.328m²​

Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m².

Learn more here:

https://brainly.com/question/3340228

Evaluate the integral by making the given substitution. (Use C for the constant of integration.)

∫ x^2√x^3+37 dx, u=x^3+37

Answers

The Given integral is :

∫x²√x³ + 37 dx ; u = x³ + 37

Answer:

2/9(x³ + 37)^3/2 + C

Step-by-step explanation:

∫x²√x³ + 37 dx ; u = x³ + 37

∫x²√u dx

Since u = x³ + 37

Differentiate u with respect to x

du/dx = 3x²

du = 3x²dx

dx = du / 3x²

∫x²√u dx = ∫x²√u du/3x²

1/3x²∫x²√u du

1/3 ∫ √u du

Integrating √u with respect to u

1/3 ∫ u^1/2 du

1/3 [u^(1/2+1) / 1/2 + 1] + C

1/3 [u^3/2 / 3/2] + C

1/3 u^3/2 * 2/3 + C

1/3*2/3 u^3/2 + C

2/9 u^3/2

u = x³ + 37

2/9(x³ + 37)^3/2 + C

Please help me please!

Answers

Answer:

its c

Step-by-step explanation:

i hade this qu for classwoerk today

3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast

Answers

Answer:

×=-11

Step-by-step explanation:

3x+21=-12

3×=-33

×=-11

Answer:

x=-11

x+7=-4

Step-by-step explanation:

3(x+7)=-12

3x+21=-12

3x=-12-21

3x=-33

x=-33/3

x=-11

-11+7=-4

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.

How long is the dart in the air? Round to the nearest tenth

A. 0.7

B. 0.8

C. 1.5

D. 1.6

Answers

Answer:

D

Step-by-step explanation:

Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).

The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many bagels can they bake in 23 hours? What was that rate per hour?

Answers

Answer: 667 bagels in 23 hours. 29 bagels per hour

Step-by-step explanation:

They can bake 667 bagels in 23 hours. They bake 29 bagels per hour or 29x.

What is 1% of 3,098?

Answers

Answer:

30.98

Step-by-step explanation:

Answer:

30.98

Step-by-step explanation:

Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz

Answers

The answer is b
A^2+b^2=c^2
9^2+12^2=15^2
81+144=225

WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?​

Answers

Answer:

Solution:

the boat's speed in still water: x

The speed with current: (x+3)

The speed against current: (x-3)

The equation is

3(x+3) = 4(x-3)

x = 21 mph

The distance = 3*(21+3)= 72 miles

I  choose (A)

Step-by-step explanation:

Answer:

72 Miles

Step-by-step explanation:

Photo attached please help

Answers

it’s a

hope this helped!:)
I’m pretty sure it’s a

The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°

Answers

Answer:

A

Step-by-step explanation:

The answer is C because the lower number make it colder

If 39 is 5% of a number, what is that number? How did you find your answer?

Answers

39 is 5% of 780 you find it by multiplying 20 by 5% x 20 which equals 100 and then you Use the same number you used with 5% (20) and Multiply it with 39 which gets you 780 so 39x20=780

how many years will it take $136000 to grow to 468000 if invested in an account with an annual interest rate of 8%

Answers

17 years? The answer I got wasn’t exact so it could be wrong...

Who can help me pronto i will give a brainliest

Answers

Answer:I think it would be C

Step-by-step explanation:

Answer:

1) B

-2x+y=4

+2x+3y=20.

4y=24

2) 4y=24. divide both sides by 4

y= 6

3) (Pick any equation you like, change y to 6)

-2x+6=4 subtract 6 to both sides

-2x=-2 divide by -2

x=1

or

2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides

2x=2. divide by 2

x=1

4) (x,y) change the x and y to their values. (1,6)

Step-by-step explanation:

explained on top

Can someone help me understand what I am suppose to do on here? And or give me some answers with examples on how to get the answer.

Answers

Answer:

that makes no sence at all you are doing some weird work

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:

Elena says I find 25.44 and then move the decimal point

Answers

Answer: help a homegirl out

Step-by-step explanation: let me get these points please

A homeowner wants to fence her rectangular backyard. The yard is 63ft by 66ft. If fencing costs $2 per foot, how much will it cost to fence the yard?

Answers

Answer:

Step-by-step explanation:

Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years.
If the annual interest rate stays constant at 6%, what is the value of these payments in today's dollars? (Note: Round your answer to the nearest
whole dollar.)
O $6,583
O $5,279
$7,763
$6,210

Answers

The answer 6,210 ........

compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45​

Answers

Answer:

El orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000

Step-by-step explanation:

El mayor número será el que tenga el mayor entero, o  si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha,  o si tienen el mismo se observa el siguiente decimal y así sucesivamente.

Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.

Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:

23.4

15/20= 0.75

32.245

0.056

4/10= 0.4

50/100= 0.5

8/9= 0.8888

0.009

9/1000= 0.009

54.45​

Entonces el orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009

4x2 + 15x + 9 = 0
Solve

Answers

Answer:

x = -3  and x = - 3/4

Step-by-step explanation:

We can use the quadratic formula to solve for x, considering a = 4 , b = 15, and c = 9:

[tex]x=\frac{-b+/- \sqrt{b^2-4a*c} }{2*a} \\x=\frac{-15+/- \sqrt{(-15)^2-4*4*9} }{2*4}\\x=\frac{-15+/- \sqrt{81} }{8}\\x=\frac{-15+/- 9 }{8}=-\frac{6}{8} \,\,or\,\,-\frac{24}{8} \\x=-\frac{3}{4}\,\,or\,\,x=-3[/tex]

I solved by factoring
I hope you can see my writing
Nvm I’ll just type it out just incase
4x^2+15x+9=0
(4x^2+3x)+(12x+9)=0
X(4x+3)+3(4x+3)=0
(X+3)(4x+3)=0
X+3=0. 4x+3=0
X=-3. 4x=-3
X=-3/4
X=-3, x=-3/4
Answer in solution set is= {-3, -3/4}

if sin=3 by 5 and cos =4 by 5 find tan​

Answers

Answer:

3/4

Step-by-step explanation:

[tex]tan = \frac{sin}{cos } [/tex]

=3/5/4/5

=3/5 × 5/4

=15/20

=3/4

what is x10=22130 bc i have no idea

Answers

Answer:

x = 2213

Step-by-step explanation:

We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.

10x ÷ 10 = x

22130 ÷ 10 = 2213

Therefore, x = 2213

NOTE:

I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.

To solve this, you have to take the root of both sides and solve.

Exact Form:

x  =  10 √ 22130 ,  − 10 √ 22130  

Decimal Form:  x = 2.71955684 … ,  − 2.71955684 …

Answer:

x = 2213

Step-by-step explanation:

22130/10 = 2213

what is the 28% of 349 multiplied by 7

Answers

Answer:

Step-by-step explanation:

E X P L A N A T I O N

Answer:

The answer is 684.04

Step-by-step explanation:

with a coupon, you can gat a pair of shoes that normally cost $84 for only $72. what percentage was the discount?​

Answers

Answer:

14.29%

Step-by-step explanation:

72/84 = 6/7

7/7-6/7 = 1/7

1/7 = approximately 14.29%

14.29 is the answer

Where are my smart friends?? I had $3.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt and Uncle gave me $100.00. I had another $12.00. How much did I have?

Answers

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 =

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 = 155

You are by far, much richer than me

165% as a fraction. PLEASE I NEED IT NOW

Answers

Answer:

33/20

Step-by-step explanation:

Answer:

1.65 is the answer just put a decimal

>:)))))))))
i use u guys to get though exam

Answers

Answer:

B) 3/8

Step-by-step explanation:

Proportion/ Ratio:

3 pounds to 8 flower beds

3 : 8

3 / 8

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