You go to a school dance. there is an entrance fee, and there are slices of pizza for sale. after having 1 slice of pizza, you have spent a total of $6. after having 2 more slices of pizza, you have spent a total of $10. write an equation that represents the total cost y after buying x slices of pizza at the dance

answer:

d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.  

step-by-step explanation:

this is an exercise in pemdas, the order of arithmetic operation:  

parentheses > exponents > multiplication and division > addition and subtraction.  

[(3² × 5⁰)/4]² = [(9 × 1)/4]² = (9/4)² = 81/16  

    3⁴ × 1²/4² = 81 × 1/16                 = 81/16  

a. is wrong. 3¹ × 1²/4² = 3 × 1/16 = 3/16

b. is wrong. [(3² × 0)/4]² = [(9 × 0)/4]² = (0/4)² = 0² = 0  

c. is wrong. [(3² × 0)/4]² = 0

answer:

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'.   so, the expression to represent three consecutive even numbers is:   n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides:   78/3 < 3n/3 < 90/3 or 26 < n < 30.

answer:

gym a has the better sale.

step-by-step explanation: