Last year, Tim rode his bike a total of50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the following explains how much farther Tim rode his bike this year than last year? A. 200 times farther; Subtract last year's distance from this year's distance to get 208 3/8.Then round to the nearest hundred to get 200.

B. 50 times farther; Round each distance to the nearest whole number. Then multiply last year's distance by 50 to see that 259 is close to 50 × 5.

C. 10 times farther; 258 is about 5 times 50, and 3/4 is 2 times 3/8, so multiply 5 × 2 to get 10.

D. 5 times farther; Round each distance to the nearest whole number. Then multiply last year's distance by 5 to see that 259 is close to 50 × 5.

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

The triangles are similar. what is the value of x? show your work.