Respuesta :

1)

⇒ n + n - 0.18n

collect terms and add them

⇒ 1.82n

B is the correct choice

2)

[tex]\sf \rightarrow -\dfrac{1}{3} (6x+15)-3 \ \ = -2x -5-3 \ \ = -2x - 8[/tex]

D is the correct choice.

3)

[tex]\sf \rightarrow \dfrac{8+4*3}{5} \ = \ \dfrac{8+12}{5} \ = \ \dfrac{20}{5} \ = \ 4[/tex]

4) [tex]\sf Female = Total \ People - Male \ population \ = \ 30 - 6 \ = \ 24[/tex]

There are 24 female over the age of 100.

5)

(3 + 5) + 2 = 2(? + 2)

8 + 2 = 2? + 4

2? = 10 - 4

2? = 6

? = 3

∴ The missing number is 3

Answer:

  1. B) 1.82n
  2. D) -2x - 8
  3. 4
  4. 24
  5. 3

Step-by-step explanation:

Q1

Combine like terms by taking n as a common factor :

n + n - 0.18n

n (1 + 1 - 0.18)

n (2 - 0.18)

B) 1.82n

Q2

Distribute terms in the parentheses :

-1/3 (6x + 15) - 3

(-1/3)(6x) + (-1/3)(15) - 3

-2x - 5 - 3

Combine like terms :

D) -2x - 8

Q3

Applying PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) :

Let's simplify the numerator first.

8 + 4 × 3 / 5

8 + 12 / 5

20/5

4

Q4

Subtract the number of males from the total to get the number of females :

30 - 6

24

Q5

Simplify the LHS and solve for the missing value in the RHS :

(Remember to apply PEMDAS!)

(3 + 5) + 2 = 2( _ + 2 )

8 + 2 = 2( _ + 2 )

10 = 2 ( _ + 2 )

_ + 2 = 5

_ = 3