At least two teachers must accompany every five elementary students on a field trip. If 45 students are going on the trip, what is the minimum number of teachers needed?

9

Step-by-step explanation:

divide 5 into 45 which equals 9

Expression 4 (3n - 5) is equivalent to C: 12n - 20

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

3. constants

is a fixed value, can be a number

4. arithmetic operations  ⇒ +, - , : , x

Calculation operations include multiply, divide, add, substract, etc.

There are several properties in integer multiplication operations

1. closed property

Multiplication between integers will produce integers too

2. commutative property

a x b = b x a

3. associative property

ax (bxc) = (axb) xc

4. identity

ax1 = 1 x a = a

5. distributive  property

* addition

ax (b + c) = axb + axc

* substraction

ax (b-c) = axb - axc

We can use distributive  property  of substraction   to solve the problem

"Equivalent to" means having the same value.

From the answer choices , which produce the same expression is C. 12n-20

Learn more

6 squared divided by 2 (3) +4

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an algebraic expression

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Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to