Asked by Carrie

A citizen makes $60,000 a year and is paying taxes at a rate of 20%. write an expression to determine how much their net income is ( after taxes ) for n years of working. write your answer as a decimal to the hundredths place.
Answered by Carrie
Evaluate l^3 + m^2 + lm, when l = 3 and m = 8
Answered by Carrie
A gym membership costs $29.95 per month plus a $15 sign-up fee. The expression 29.95m + 15 represents the total cost after m months. What is the total cost after one year? Express the solution to the nearest hundredths.
Answered by Carrie
A truck rental costs $2 per miles, m, driven plus a $24 rental fee. Translate the words into an algebraic expression.
Answered by Carrie
The expression 5p is given. What is this expression translated into words?
Answered by Carrie
In the equation 9c = 18, the 9 is called a ___
A. term.
B. variable.
C. coefficient.
D. product.
Answered by Carrie
What is the coefficient in the expression 9 + 8b - 56?
Answered by Carrie
Which of the following shows the correct pairing of a property of operations and its example?
A. 2a + 3b = 3b + 2a; Distributive Property
B. 2 (a + 3) = 2a + 6; Associative Property
C. 2a + 3b = 3b + 2a; Commutative Property
D. 2 (a + 3) = 2a + 6; Commutative Property
Answered by Carrie
Which expression is equivalent to xy - z(x + 3y + 1) - z + 2x?
A. xy - xz - 3yz + 2x
B. xyz - 2z - 3yz
C. xy - xz - 3yz - 2z + 2x
D. xyz - xz + 3yz - 2z +2x
Answered by Carrie
Which expression is equivalent to 2 - (3/5) [(1/3) + 2a] + (1 - 2a)?
A. -2a/5
B. (4a-16a)/5
C. (4a/5) + (22/15)
D. (14-4a)/5
Answered by GPT 3.5
Let N be the number of years the citizen works.

Net income = (Salary per year) - (Tax rate * Salary per year)
Net income = $60,000 - (0.20 * $60,000)
Net income = $60,000 - $12,000
Net income = $48,000

Net income for N years = N * $48,000
Net income for N years = $48,000N

Therefore, the expression to determine how much their net income is for N years of working is $48,000N.
Answered by GPT 3.5
Given l = 3 and m = 8, we can substitute these values into the expression l^3 + m^2 + lm:

l^3 + m^2 + lm
= 3^3 + 8^2 + 3*8
= 27 + 64 + 24
= 115

Therefore, l^3 + m^2 + lm evaluates to 115 when l = 3 and m = 8.
Answered by GPT 3.5
To find the total cost after one year, we need to substitute m = 12 (for 12 months in a year) into the expression 29.95m + 15:

Total cost after one year = 29.95 * 12 + 15
Total cost after one year = 359.4 + 15
Total cost after one year = 374.4

Therefore, the total cost after one year is $374.40.
Answered by GPT 3.5
The total cost 'C' of renting the truck can be represented by the expression:

C = 2m + 24

Where:
C = Total cost of renting the truck
m = Number of miles driven in the truck (variable)
Answered by GPT 3.5
The expression 5p can be translated into words as "Five times the number p" or "The product of five and p."
Answered by GPT 3.5
C. coefficient.

In the equation 9c = 18, the number 9 is called the coefficient. The coefficient is the number that is multiplied by a variable in an expression or equation.
Answered by GPT 3.5
The coefficient in an expression is the numerical factor that is multiplying a variable or a constant term.

In the expression 9 + 8b - 56, the coefficients are:
- The coefficient of the constant term 9 is 1 (since it can be written as 1*9).
- The coefficient of the term 8b is 8.

So, the coefficients in the expression are 1 and 8.
Answered by GPT 3.5
A. 2a + 3b = 3b + 2a; Distributive Property

In the example 2a + 3b = 3b + 2a, it illustrates the Distributive Property where the addition of the two terms maintains the same value even when the order is changed. This is the correct pairing of a property of operations and its example.
Answered by GPT 3.5
To simplify the expression xy - z(x + 3y + 1) - z + 2x, we need to distribute the negative z inside the parentheses:

xy - zx - 3zy - z - z + 2x
= xy - 2z - 3zy + 2x

The expression equivalent to xy - z(x + 3y + 1) - z + 2x is B. xyz - 2z - 3yz.
Answered by GPT 3.5
To simplify the expression 2 - (3/5) [(1/3) + 2a] + (1 - 2a), we follow the order of operations:

1. Simplify inside the brackets:
(3/5) [(1/3) + 2a]
= (3/5) [1/3 + 6a / 3]
= (3/5) [(1 + 6a) / 3]
= (1 + 6a) / 5

2. Substitute the simplified expression back into the main expression:
2 - (1 + 6a)/5 + 1 - 2a
= 2 - 1 - 6a/5 + 1 - 2a
= 1 - 6a/5 - 2a

Combining the terms:
= 1 - 6a/5 - 10a/5
= 1 - 16a/5
= (5 - 16a)/5

Therefore, the expression equivalent to 2 - (3/5) [(1/3) + 2a] + (1 - 2a) is D. (5 - 16a)/5.