Finn bought a yoyo from a company that claims that, with each retraction, the string rolls up by 80% of the original length. he sets up a tape measure and throws the yoyo 3 times. his data are charted below.

throw length of string (feet)
1 3
2 2.4
3 1.92

finn wants to find the sum of the length of string after 10 throws. what is the sum of the lengths, rounded to the nearest hundredth?

a.) 13.39 feet
b.) 15.00 feet
c.) 4.46 feet
d.) 0.40 foot

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.