Write an algebraic expression for the following:
the quotient of a number and 0.76, increased by 6.5
the product of a number cubed and the sum of 57.6 and 3.42
(x/0.76)+6.5
(x^2)*(56+3.42)
What is the quotient of 1495 and 6.5
Sure, here are the algebraic expressions:
1. Let's say the number is represented by 'x'. The expression for the quotient of a number and 0.76, increased by 6.5 would be:
(x/0.76) + 6.5
2. Let's say the number is represented by 'y'. The expression for the product of a number cubed and the sum of 57.6 and 3.42 would be:
y^3 * (57.6 + 3.42)
Remember, these are algebraic expressions and not the final solutions.
To write the algebraic expressions, let's break down the given information step by step:
1. The quotient of a number and 0.76, increased by 6.5
To express this algebraically, we can start by using a variable, let's say "x," to represent the unknown number. The expression "the quotient of a number and 0.76" translates to x/0.76. To increase this quotient by 6.5, we add 6.5 to the expression. Therefore, the algebraic expression is:
x/0.76 + 6.5
2. The product of a number cubed and the sum of 57.6 and 3.42
Again, we can use the variable "x" to represent the unknown number. "A number cubed" translates to x^3. The sum of 57.6 and 3.42 is simply 57.6 + 3.42. To find the product of these two parts, we multiply them together. Thus, the algebraic expression is:
x^3 * (57.6 + 3.42)