A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted.(1 point)

Responses

3S2−2s2
3 upper S squared minus 2 s squared

2S2−3s2
2 upper S squared minus 3 s squared

3S2+2s2
3 upper S squared plus 2 s squared

2S2+3s2

11 answers

2S^2 + 3s^2
Evaluate the expression at specific values of their variables.(1 point)
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8.
Given a = 2, b = 3, and c = 8, evaluate the expression:
a^5 - bc + 4a/c

Substitute the given values:
(2)^5 - (3)(8) + 4(2)/(8)
32 - 24 + 8/8
32 - 24 + 1
8 + 1
= 9

Therefore, when a = 2, b = 3, and c = 8, the expression evaluates to 9.
The expression 25c+48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults?(1 point)
The total cost is $
Given the expression 25c + 48a representing the total cost for a group of children and adults, where c represents the number of children and a represents the number of adults attending, we are asked to find the total cost for 12 children and 4 adults.

Substitute c = 12 (for 12 children) and a = 4 (for 4 adults) into the expression:
25(12) + 48(4)
= 300 + 192
= 492

Therefore, the total cost for 12 children and 4 adults to attend the amusement park is $492.
A truck rental costs $2 per miles, m , driven plus a $24 rental fee. Translate the words into an algebraic expression.(1 point)
The expression is
The cost of the truck rental can be expressed as:
Cost = $2 * m + $24

Therefore, the algebraic expression for the truck rental cost is 2m + 24.
The expression 5p is given. What is this expression translated into words?(1 point)
Responses

the product of 5 and a number p
the product of 5 and a number p

the difference of 5 and a number p
the difference of 5 and a number p

the sum of 5 and a number p
the sum of 5 and a number p

the quotient of 5 and a number p
the product of 5 and a number p
In the equation 9c=18, the 9 is called a(1 point)
Responses

coefficient.
coefficient.

product.
product.

term.
term.

variable.
coefficient.