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
stich3 [128]
3 years ago
6

FOR 100 POINTS!!!!!!!!!!!Solve the equation. 3(4x + 4) = 2(5x + 9) - 12

Mathematics
2 answers:
Tatiana [17]3 years ago
6 0

Answer:

<h3>X=-3</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

<u><em>DISTRIBUTIVE PROPERTY</em></u>

A(B+C)=AB+AC

A(B-C)=AB-AC

3(4x+4) (First, expand.)

3*4x=12x

3*4=12

12x+12

2(5x+9)-12

2*5x=10x

2*9=18

10x+18

18-12=6

12x+12=10x+6

12x+12-12=10x+6-12 (Subtract 12 from both sides.)

6-12 (Solve.)

12-6=6

12x=10x-6

12x-10x=10x-6-10x (Subtract 10x from both sides.)

12x-10x (Solve.)

12x-10x=2x

2x=-6

2x/2=-6/2 (Then, divide by 2 from both sides.)

-6/2 (Solve.)

-6/2=-3

x=-3

As a result, the final answer is x=-3.

Pepsi [2]3 years ago
6 0

Answer:

x = -3

Step-by-step explanation:

<u>Step 1:  Distribute </u>

3(4x + 4) = 2(5x + 9) - 12

(3 * 4x) + (3 * 4) = (2 * 5x) + (2 * 9) - 12

12x + 12 = 10x + 18 - 12

<u>Step 2:  Combine like terms </u>

12x + 12 = 10x + 6

<u>Step 3:  Subtract 10x from both sides </u>

12x + 12 - 10x = 10x + 6 - 10x

2x + 12 = 6

<u>Step 4:  Subtract 12 from both sides </u>

2x + 12 - 12 = 6 - 12

2x = -6

<u>Step 5:  Divide both sides by 2 </u>

2x / 2 = -6 / 2

x = -3

Answer:  x = -3

You might be interested in
Toby buys a new MP3 player for a price of $45.50. What is the total amount his credit card is
Fittoniya [83]

Answer:

$48.69

Step-by-step explanation:

45.50 + (45.50 * 0.07) = 48.69

hope this helps!

5 0
3 years ago
you buy 5 notebooks and a backpack. the cost of the backpack is $27.25. you pay 6% in sales tax on your purchase, and yout total
saw5 [17]
That's the answer i hope i got it write!!





↓↓↓↓↓↓↓↓

6 0
3 years ago
There are 9 girls and 11 boys in a class at a Private
blagie [28]

Answer:

35%

Step-by-step explanation:

9+11=20

3+4=7

20*5=100

7*5=35

4 0
3 years ago
2. In how many ways can 3 different novels, 2 different mathematics books and 5 different chemistry books be arranged on a books
insens350 [35]

The number of ways of the books can be arranged are illustrations of permutations.

  • When the books are arranged in any order, the number of arrangements is 3628800
  • When the mathematics book must not be together, the number of arrangements is 2903040
  • When the novels must be together, and the chemistry books must be together, the number of arrangements is 17280
  • When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

\mathbf{Novels = 3}

\mathbf{Mathematics = 2}

\mathbf{Chemistry = 5}

<u />

<u>(a) The books in any order</u>

First, we calculate the total number of books

\mathbf{n = Novels + Mathematics + Chemistry}

\mathbf{n = 3 + 2 +  5}

\mathbf{n = 10}

The number of arrangement is n!:

So, we have:

\mathbf{n! = 10!}

\mathbf{n! = 3628800}

<u>(b) The mathematics book, not together</u>

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

\mathbf{Maths\ together = 2 \times 9!}

Using the complement rule, we have:

\mathbf{Maths\ not\ together = Total - Maths\ together}

This gives

\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}

\mathbf{Maths\ not\ together = 2903040}

<u>(c) The novels must be together and the chemistry books, together</u>

We have:

\mathbf{Novels = 3}

\mathbf{Chemistry = 5}

First, arrange the novels in:

\mathbf{Novels = 3!\ ways}

Next, arrange the chemistry books in:

\mathbf{Chemistry = 5!\ ways}

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

\mathbf{n =Mathematics + 1 + 1}

\mathbf{n =2 + 1 + 1}

\mathbf{n =4}

So, the number of arrangements is:

\mathbf{Arrangements = n! \times 3! \times 5!}

\mathbf{Arrangements = 4! \times 3! \times 5!}

\mathbf{Arrangements = 17280}

<u>(d) The mathematics must be together and the chemistry books, not together</u>

We have:

\mathbf{Mathematics = 2}

\mathbf{Novels = 3}

\mathbf{Chemistry = 5}

First, arrange the mathematics in:

\mathbf{Mathematics = 2!}

Literally, the number of chemistry and mathematics now is:

\mathbf{n =Chemistry + 1}

\mathbf{n =5 + 1}

\mathbf{n =6}

So, the number of arrangements of these books is:

\mathbf{Arrangements = n! \times 2!}

\mathbf{Arrangements = 6! \times 2!}

Now, there are 7 spaces between the chemistry and mathematics books.

For the 3 novels not to be together, the number of arrangement is:

\mathbf{Arrangements = ^7P_3}

So, the total arrangement is:

\mathbf{Total = 6! \times 2!\times ^7P_3}

\mathbf{Total = 6! \times 2!\times 210}

\mathbf{Total = 302400}

Read more about permutations at:

brainly.com/question/1216161

8 0
2 years ago
Use squares to show 22 two different ways. Draw both ways
kow [346]
If I understand this correctly you can write it as
22
twenty-two, or
20+2
I hope this helps!!! Please mark brainliest if correct!!!
7 0
3 years ago
Other questions:
  • What else would need to be congruent to show that ABC = PQR by SSS?
    5·1 answer
  • 75 EASY POINTS Whats 2.14*3/49+947?
    11·2 answers
  • I don’t know how to solve this
    10·2 answers
  • If someone could help me, it’d be great!
    8·1 answer
  • Simplify: <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%209%7D%20%20%5Ctimes%20%20%5Csqrt%7B%20-%2016%7D%20" id="Te
    10·1 answer
  • Ben and Carmella want to go to a basketball game. Carmella proposes they use a bag of 90 lettered tiles to decide who will pay f
    7·1 answer
  • Can I get some help I’ll mark brainliest
    14·1 answer
  • What does y equal y=-1+6
    15·1 answer
  • What is the total cost of an item that cost $43 when you add the sales tax (.0825)?
    12·1 answer
  • Find the approximate volume of a cylinder that has a diameter of 16 in. and a height of 10 in. Use 3.14 for π.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!