Question

One number is 6 greater than another. The product of the numbers is 135. Find the numbers. One pair of numbers, both of which are positive, is 9,15 Another pair of numbers, both of which are negative, isl. Given that log (6) 1.792, log(8) 2.079, and log (14)-2.639, find the logarithm of log logo (Simplify your answer. Round to the nearest thousandth.) Two common names for streets are Fourth Street and Main Street, with 15,829 streets bearing one of these names. There are 453 more streets named Fourth Street than Main Street. How many streets bear each name? The number of streets named Fourth Street is A few years ago, a total of 2680 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 280 thousand more residents than Las Vegas. What was the population of each metropolitan area? What was the population of the Sacramento area? thousand During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all, 57 new members were signed up and the store's cost for the incentives was $95. How many of each incentive were given away? There were free rentals given away to new members. A riverboat travels 54 km downstream in 2 hours. It travels 63 km upstream in 3 hours. Find the speed of the boat and the speed of the stream. The speed of the boat is and the speed of the stream is

Answer 1

5829 - SollA) (C) Let u = Number of fourth streets Pair factor of 135 are = (1, 135) (5,27) I 4 = Number of main streets (345) (9,15) | Total number of streets=15829 (Given) As it is given that end of two i uty=15829 0 number should be - 6 So there is only one case ie (9,15) 453 more streets named fourth streef Another pair of number, both of which then main street are negative is (-15,-9) ie u-y=453 - ② (B) Giren: log (6) 1.792 On adding eq. O and eq. (2) I log 6 (8)= 2.079 loqu (14) = 2.639 We need to find toga (he) - du = 16282 * - 16282 = (x = 8141] formulas Put value of x=8141 in eq. (2) 8141-4 =453 453-8141 = -log, (6*8) - 14-76887 We know :: Number of fourth streets = 8141 - Ans log, (A.B) = log, A + log 3 Number of main streets = 7688 + y = 15829 - = 453 loga(t) = - logab is loga (Ha) = -logo 48) +y=+7688 :seq.becomes flage (6) + log, (3) Put the value --[1.792 + 2.079] . [ 3.871) togales - 3.871 ANS

6 let na population of the las Vegas As per question X + 280000 = population of Sacramento o Total population = 2680 000 ( Given) iie x + x + 280000 = 2680000 2x = 2680000 - 280000 2x = 2400000 Tx= 1200000 Put value of x= 1200000 in eg. 0 1200000 + 280000 - population of sacramento 3. population of Sacromento = 1,48.0,000 population of las vegas = 1200000 Are
please upload the other questions separately