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
Alexxx [7]
3 years ago
11

8(2n - 5) = 3(6n - 2)

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

You might be interested in
The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
Irina-Kira [14]

Answer:

<u><em>Radius -  </em></u>4

<u><em>Apothem -  </em></u>2

<u><em>Area - </em></u>12\sqrt{3} or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

12\sqrt{3}  \div3 = 4\sqrt{3}

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6

By the way, the formula for the area can be either of the two:

A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS

we can easily find the area using the first formula.

A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

<em>Happy April Fool's btw, lol.</em>

4 0
3 years ago
Solve for x..................
Yuri [45]
Square both sides to get the binomial out of the square root:
(√(2x + 8))² = (2)²
2x + 8 = 4
2x = 4 - 8
2x = - 4

Divide both sides by 2 to isolate the variable X:
x = - 4 / 2
x = - 2

Your answer is option C.
7 0
3 years ago
Melisa is throwing a birthday party for her son. She ordered 4 pizzas, she realizes that her son invited more people than she th
Liono4ka [1.6K]

Answer:

y = 3x + 4

Step-by-step explanation:

3x would be the number of people that show up to the party times the number of pizza's needed plus the 4 she already ordered

6 0
3 years ago
Write y=95x in function notation
lisov135 [29]
F(x)=95x written as a function of x
5 0
3 years ago
Read 2 more answers
Can someone answer this for me pls I need help rly bad
grigory [225]

Answer:

the answer is y= 2/1x + 10

5 0
3 years ago
Other questions:
  • Write the expanded form of 164​
    13·1 answer
  • Exponential Function:
    6·2 answers
  • Plz help!!!
    13·1 answer
  • Use the Distributive Property to find the product mentally. Show the steps you used<br> 5 x 47
    9·1 answer
  • If cos Theta &lt; 0, which quadrent(s) could the terminal side of Theta lie?
    10·1 answer
  • Calculus1 help involving graphs.
    13·1 answer
  • Can someone please help with this math question??
    14·1 answer
  • A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than
    8·1 answer
  • Please helped me<br><br>Please I need help ^_^:-{^_^:-{^_^:-{^_^:-{^_^:-{^_^​
    7·2 answers
  • An investigation of the relationship between height of a child and age (in months) found that age explained 64% of the variation
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!