Respuesta :
(a) The value of 9 + (1/2) /4 * 48
We have:
[tex]9 + (1/2) /4 * 48[/tex]
Evaluate the quotients
[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]
Evaluate the products
[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]
[tex]9 + (1/2) /4 * 48 = 15[/tex]
Hence, the value of the expression 9 + (1/2) /4 * 48 is 15
(b) If x = 2.7, 5x =
The value of x is given as 2.7.
So, we have:
[tex]5x = 5 * 2.7[/tex]
[tex]5x = 13.5[/tex]
Hence, the value of 5x is 13.5
(c) Equivalent expression of 12x - 8x + 3
The expression is given as: 12x - 8x + 3
So, we have:
12x - 8x + 3 = 4x + 3
Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3
(d) Equivalent expression of 3(x + 3y + 2x - y)
The expression is given as: 3(x + 3y + 2x - y)
So, we have:
3(x + 3y + 2x - y) = 3(3x + 2y)
Also, we have:
3(x + 3y + 2x - y) = 9x + 6y
Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y
(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3
We have: 1/2x^3 + 5.2y
So, the expression becomes
[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]
[tex]1/2x^3 + 5.2y = 19.6[/tex]
Hence, the value of 1/2x^3 + 5.2y is 19.6
(f) The commutative property of addition of 8 + 3m
The commutative property of addition of 8 + 3m is 3m + 8
(g) The algebraic expression for "5 times the sum of 2 and y?
The algebraic expression is 5(2 + y)
(h) The error of the student
The student's first error is in step 2: 4(2) + 4x(2)
(i) The statement that describes the expression 3 + y ÷ 2
The correct statement is (d) the sum of 3 and the quotient of y and 2
(j) The value of an expression
We have:
22 + 62 ÷ 22
Evaluate
22 + 62 ÷ 22 = 24.8
Hence, the value of the expression 22 + 62 ÷ 22 is 24.8
(k) Complete the blanks
We have: 34 + 2 ⋅ 5 = ____
Represent the blank with x
34 + 2 ⋅ 5 = x
Evaluate
44 = x
Hence, the blank is 44
(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the (c) commutative property of multiplication
(m) The statement that best describes the expression 4y ÷ 9
The statement is: (c) 4 times y divided by 9
(n) The expression is equal to 5p
The expression is equal to 5p is (a) p + p + p + p + p
(o) The coefficient of y in the expression 2 ⋅ 4 + 3y
The coefficient of y in the expression is 3
Read more about equivalent expressions at:
https://brainly.com/question/2972832