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Leviafan [203]
3 years ago
10

Expand the linear expression: 3(4x + 3)

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0
Solutions

1) Distribute
<span>
3×4x+3×3
</span>
2) Simplify 3×4x to 12x
<span>
12x+3×3
</span>
3) Simplify 3×3 to 9
<span>
12x+9

Answer = </span>12x+<span>9</span>
Wewaii [24]3 years ago
4 0
You have to take the 3 and multiply what ever is in the parenthasis so 3*4 is 12 but you cant mutliply x so its 12x and them 3*3 is 9 so your answer would be 12x+9
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Somebody please help me. I cant figure this out once so ever.
WITCHER [35]

Answer:

A

Step-by-step explanation:

The Fibonacci sequence is the sum of the two terms before it. It looks like this:

1, 1, 2, 3, 5, 8, 13, 21, 34, ...

As you can see, 13 and 21 are indeed consecutive terms.

7 0
3 years ago
Solve then check solution
klio [65]

Answer:

1. z = 128

2. x = 4.2

3. c = 10

4. w = 100

5. a = 95.2

Step-by-step explanation:

1. Solve for z:

z/16 = 8

Multiply both sides of z/16 = 8 by 16:

(16 z)/16 = 16×8

(16 z)/16 = 16/16×z = z:

z = 16×8

16×8 = 128:

Answer:  z = 128

_____________________________________________________

2. Solve for x:

3.5 x = 14.7

Divide both sides of 3.5 x = 14.7 by 3.5:

(3.5 x)/3.5 = 14.7/3.5

3.5/3.5 = 1:

x = 14.7/3.5

14.7/3.5 = 4.2:

Answer:  x = 4.2

____________________________________________

3. Solve for c:

32 = 3.2 c

32 = 3.2 c is equivalent to 3.2 c = 32:

3.2 c = 32

Divide both sides of 3.2 c = 32 by 3.2:

(3.2 c)/3.2 = 32/3.2

3.2/3.2 = 1:

c = 32/3.2

32/3.2 = 10:

Answer:  c = 10

__________________________________________________

4. Solve for w:

(2 w)/5 = 40

Multiply both sides of (2 w)/5 = 40 by 5/2:

(5×2 w)/(2×5) = 5/2×40

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) w = 5/2×40

5/2×40 = (5×40)/2:

(5×2 w)/(2×5) = (5×40)/2

(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:

w = (5×40)/2

2 | 2 | 0

| 4 | 0

- | 4 |  

| | 0

| - | 0

| | 0:

w = 5×20

5×20 = 100:

Answer: w = 100

___________________________________________________

5. Solve for a:

a/14 = 6.8

Multiply both sides of a/14 = 6.8 by 14:

(14 a)/14 = 14×6.8

(14 a)/14 = 14/14×a = a:

a = 14×6.8

14×6.8 = 95.2:

Answer:  a = 95.2

6 0
3 years ago
Ireland has a 23% VAT (value-added tax, similar to a sales tax). How much will the VAT be on a purchase of a €250 item?
Maurinko [17]
€250 x 1.23 (123%) = €307.50

:)
5 0
4 years ago
Read 2 more answers
marcel's plane travels 3.345 meters salvadors plane travels 3.35 meters .jennifers plane travels 3.3 meters baced on measurement
KonstantinChe [14]
To see, which plane traveled <span>farthest of shortest distance we have to write all the numbers in the same accurance
             3.345
3.35 => 3.350
3.3   => 3.300
The longest is 3.35
The shortest is 3.3</span>
4 0
3 years ago
Read 2 more answers
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
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