Tina wrote mathematical expressions for five statements. Her work is shown. Statement Tina's Expressions A The product of a number and seven. 7n B The sum of three consecutive numbers. n+(n+1)+(n+2) C The square of a number times three. 3n2 D Twice the sum of a number and 8. 2n+8 E The cube of a number divided by two. n3÷2 Did Tina write the correct expressions? Select Correct or Incorrect for each expression. Select Linear or Nonlinear to correctly identify each of Tina's expressions.

See explanation

Step-by-step explanation:

Linear expression is usually an expression of 1st degree.

A. The product of a number and seven

Correct, linear

B. The sum of three consecutive numbers.

Let the smallest number be n, the next number is n + 1 and the last number is n + 2. Then their sum is

Correct, linear

C. The square of a number times three.

Let the number be n, then its square is and the square of a number times three is

Correct, nonlinear

D. Twice the sum of a number and 8.

If the number is n, then the sum of the number anf 8 is n + 8. Twice the sum is

Incorrect, linear

E. The cube of a number divided by two.

If the number is n, then its cube is The cube of the number divided by 3 is

Correct, nonlinear

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3