All categories

2 years ago

1/2 (2n + 6) simply the answer and show work

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

Answer:

The answer is n + 3.

Step-by-step explanation:

1) Simplify.

$\frac{2n + 6}{2}$

2) Factor out the common term 2.

$\frac{2( n+ 3)}{2}$

3) Cancle 2.

$n + 3$

Therefor, the answer is n + 3.

You might be interested in

Evaluate twenty-five minus three x for x equals zero, one, two, three, and four. Which of the following correctly describes the

laiz [17]

Answer:

You take turns plugging in each number for your answers. I’ll list them below.

6(0) - (0)2 = 0

6(1) - (1)2 = 4

6(2) - (2)2 = 8

6(3) - (3)2 = 12

6(4) - (4)2 = 16

6(5) - (5)2 = 20

6(6) - (6)2 = 24

The pattern I’ve noticed is every time you increase the value from the previous meaning for x, the solution increases by 4. I hope this helps and let me know if I’m right.

7 0

3 years ago

Read 2 more answers

Help me with 16,17,18,and 19 please simpl

mixas84 [53]

Answer:

Ques 16)

We have to simplify the expression:

$\dfrac{t^2}{t^2+3t-18}-(\dfrac{5t}{t^2+3t-18}-\dfrac{t-3}{t^2+3t-18})\\ \\=\dfrac{t^2}{t^2+3t-18}-(\dfrac{4t+3}{t^2+3t-18})\\ \\=\dfrac{t^2-4t-3}{t^2+3t+18}$

Ques 17)

$\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{2w^2-9w+4}{(2w^2+9w-5)(w^2-w-12)}\\ \\=\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{(2w-1)(w-4)}{(2w-1)(w+5)(w+3)(w-4)}\\\\=\dfrac{3w^2+7w-7}{(w+3)(w+5)}+\dfrac{1}{(w+3)(w+5)}\\\\=\dfrac{3w^2+7w-7+1}{(w+3)(w+5)}\\\\=\dfrac{(3w-2)(w+3)}{(w+5)(w+3)}\\\\=\dfrac{3w-2}{w+5}$

Ques 18)

Let the blank space be denoted by the quantity 'x'.

$\dfrac{x}{12a^2+8a}+\dfrac{15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\ \\\dfrac{x+15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a(3a+2)}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a}=7a\\\\x+15a^2=28a^2\\\\x=28a^2-15a^2\\\\x=13a^2$

Ques 19)

Let the missing quantity be denoted by 'x'.

$\dfrac{p^2+7p+2}{p^2+5p-14}-\dfrac{x}{p^2+5p-14}=\dfrac{p-1}{p-2}\\ \\\dfrac{p^2+7p+2-x}{p^2+5p-14}=\dfrac{p-1}{p-2}\\\\\dfrac{p^2+7p+2-x}{(p-2)(p+7)}=\dfrac{p-1}{p-2}\\\\p^2+7p+2-x=(p-1)(p+7)\\\\p^2+7p+2-x=p^2+6p-7\\\\x=p+9$

7 0

3 years ago

There are nine tennis balls and three cans

tester [92]

Answer: 0.33 repeating

Step-by-step explanation: 3 divided by 9

6 0

3 years ago

A rectangle has a height of 5 and a width of 4x2– 2x - 6.

joja [24]

Answer:

area = 20x^2 - 10x - 30

Step-by-step explanation:

5(4x2 - 2x - 6)

area = 20x^2 - 10x - 30

5 0

3 years ago

What’s the answer to this

Kryger [21]

C. Is the correct answer

6 0

3 years ago