Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. Each tank begins with 250 gallons of water. The flow rate for the large tank is recorded as –6 gallons per minute. After a period of 25 minutes, which integer represents the amount of water left in the large tank? –400 –100 100 400

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.

Question 1: runners in the half marathon entered in three waves. there were 341 runners in the first wave, 295 runners in the second wave, and 316 runners in the third wave. if seven out of eight runners finished the race, how many did not finish? question 2: a flagpole casts a 20foot shadow at the same time lexi casts 5 foot shadow. if lexi is 5'9'', find the height of the flagpole. question 3: the barnes family has a coupon for 10% off their dinner. if their bill comes to $82.50 and they wish to tip 15% what will they pay in total? question 4. gas prices are typically marked up for holiday travel. if the price are marked up 17.5% and the regular price per gallon is $2.40, how much will mitch pay for 16 gallons of gas? question 5. a $1,349 television is on sale for 20% off. if sales tax is 8%, find the price of the television including tax? question 6. a sign above a basket of dvds reads 3 for $17. kellen decides to buy 6 dvds and use a coupon for 25% off. if sales tax is 6% what will he pay in total.

Atutoring service offers a free one-hour tutoring session. after a client signs up, the next 10 hours of tutoring are billed at a rate of $30 per hour. for all the hours after that, the client receives a discounted rate. if a client pays $664 for 25 hours of tutoring, what is the service's discounted hourly rate? a) $24.50 b) $25.54 c) $26.00 d) $26.56