Avendor  sells  twenty-four  sweatshirts for $15 each, fifty-one t-shirts for $10 each, and thirteen hats for $8 each. what is  the average price of an item sold that day? round your answer to the nearest cent.

The vendor sells:

24 sweat shirts for $15 each

51 t-shirts for $10 each

13 hats for $8 each

Total price = $(24 × 15) + $(51 × 10) + $(13 × 8) = $974

Total number of items = 24 + 51 + 13 = 88

Average price per item = $974 ÷ 88 = $11.06818182

1 cent = $0.01

The answer is $11.07 to nearest cent.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752