1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anika [276]
3 years ago
10

8n + 12 - 5n = 21 n=?

Mathematics
2 answers:
insens350 [35]3 years ago
5 0

Answer:

n=3

Step-by-step explanation:

Simplifying

8n + 12 + -5n = 21

Reorder the terms:

12 + 8n + -5n = 21

Combine like terms: 8n + -5n = 3n

12 + 3n = 21

Solving

12 + 3n = 21

Solving for variable 'n'.

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

Add '-12' to each side of the equation.

12 + -12 + 3n = 21 + -12

Combine like terms: 12 + -12 = 0

0 + 3n = 21 + -12

3n = 21 + -12

Combine like terms: 21 + -12 = 9

3n = 9

Divide each side by '3'.

n = 3

Simplifying

n = 3

Nastasia [14]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

8n + 12 - 5n = 21

8n + 12 - 5n-12 = 21 -12

3n =9

n = 9/3 = 3

You might be interested in
Josiah ran 4/5 mile. How many tenths are equal to 4/5 mile? Use bar diagrams to find the answer.
solmaris [256]
Ok so u multiply the numbers by 2 since 5x2 =10 so u do that to the top num and bottom so
5x2 and 4x2 and then replace the4/5 with the answers you get
8 0
3 years ago
Given g(x) = −3x + 4
Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

3 0
2 years ago
Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer tha
oksano4ka [1.4K]
Juan's time = x
Yumi's time = x + 2
Yumi's distance = 3 miles
Juan's distance = 2 miles
Rate = distance/time
Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.
3 0
3 years ago
Read 2 more answers
5x+4y = -14<br> 3x+6y=6<br> What is the answer
iren [92.7K]

Hallo! Her er svaret ditt på dette spørsmålet! ☺

Answer: If you are solving by Substitution, your answer will be...

Point form : (-6,4)

Equation form : x=-6 , y=4

Step-by-step explanation: Solve for the first variable in one of the euations, then substitute the result into the other equation.

Hope this helps you out! ☺

4 0
3 years ago
How many months quicker will a $600 dollar interest double at an 8% interest rate compared to a 5% interest rate?
tigry1 [53]

Answer:alkjfldks;ajfla;ksdjf;ladskjf;lkadsj

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The chart shows a sample paycheck stub.Salary1106.45Federal122.67Income TaxSocial Security68.60TaxMedicare Tax16.04State Income1
    7·2 answers
  • Use the distributive property to find out 16(38). Please show work.
    6·1 answer
  • Help I need the answers immediately​
    15·2 answers
  • How to solve for the volume of a rectangular prism with mixed numbers?
    15·1 answer
  • Write the indicated event in set notation.When four coins are tossed, the first three tosses come up the same.[Hint: when four c
    15·1 answer
  • James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha
    6·1 answer
  • B. f(-3) = 1, f(5) = -2
    9·1 answer
  • 499,998 rounded to the nearest ten
    9·1 answer
  • It took Jack 2 hours to paddle 6.4 km upstream on the Black River to the giant's castle. The speed of the river is 1.8 km/h. How
    14·1 answer
  • F(x)=−2x^2+2x−20 <br> Find f(−8)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!