If a circle has a radius of 14 feet, how many 6-inch pencils can be placed end-to-end across the diameter of the circle?

A circle with a radius of 14 feet has a diameter of 2*14=

<<14*2=28>>28 feet. A six-inch pencil is 6/12=<<6/12=0.5>>0.5 feet long. Thus, across a 28-foot diameter, one can place 28/0.5=<<28/0.5=56>>56 6-inch pencils. #### 56 Martha has 20 apples. She decided to split them among her friends. Jane got 5 apples from her, and James got 2 more than Jane. How many more apples would Martha need to give away to be left with only 4 of them? Martha gave James 5 + 2 = <<5+2=7>>7 apples. So Martha was left with 20 - 5 - 7 = <<20-5-7=8>>8 apples. To be left with only 4 apples, Martha would need to give away 8 - 4 = <<8-4=4>>4 more apples. #### 4 Annalise was sent by her mother to the store to buy 10 boxes of Kleenex Ultra Soft Facial Tissues. If each box has 20 packs of tissues and each pack contain 100 tissues sold at five cents each, calculate the total amount of money Annalise spent to buy the ten boxes. If a box of tissue has 20 packs of tissues, ten boxes have 20 packs/box * 10 boxes = <<20*10=200>>200 packs Since each pack has 100 tissues, Annalise bought 100 tissues/pack * 200 packs = <<100*200=20000>>20000 tissues. Annalise bought 20000 tissues at five cents each, at a total cost of 20000 tissues * $0.05 = $<<20000*0.05=1000>>1000 #### 1000 Jim’s bi-weekly gross pay is $1120. He automatically has 25% of his paycheck go into his retirement account. They also take $100.00 out of each paycheck for taxes. After money is taken out for retirement and taxes, how much money will be on Jim’s paycheck? He has 25% of his take-home pay automatically enrolled into his 401k so that’s .25*1120 = $<<.25*1120=280.00>>280.00 His take-home pay is $1120.00 and $280.00 is taken out for retirement so that leaves 1120-280 = $<<1120-280=840.00>>840.00 They also take $100.00 out of his paycheck for taxes so his paycheck will be issued for 840-100 = $<<840-100=740.00>>740.00 #### 740 A jar full of marbles is sitting on a table. Half of the marbles are blue, a quarter of them are red, 27 of them are green, and 14 of them are yellow. How many marbles are in the jar? Let x = the number of marbles in the jar. If 50% of the marbles are blue, and 25% of them are red, then the remaining 25% must be either green or yellow. So 0.25 * x = 27 green marbles + 14 yellow marbles = 41 marbles. So there are a total of 4 * 41 = <<4*41=164>>164 marbles in the jar. #### 164 Jason has three times as many toys as John. If John has 6 more toys than Rachel and Rachel has 1 toy, how many toys does Jason have? John has 6 more toys than Rachel + 1 Rachel toy = <<6+1=7>>7 toys Jason has 3 * 7 John toys = <<3*7=21>>21 toys #### 21 Eva learns for two semesters in a year. In 2019, she scored ten more marks in maths in the first semester than the second, 15 marks less in arts, and 1/3 marks less in science in the first semester than the second. If she got 80 marks in maths in the second semester, 90 marks in arts, and 90 in science, what's the total number of her marks in all the semesters? In the first semester, she scored 80+10 = <<80+10=90>>90 marks in maths She also scores 90-15 = <<90-15=75>>75 marks in arts in the first semester. She scored 1/3 marks less in science in the first semester than the second, which is 1/3*90 = <<1/3*90=30>>30 Her score in science in the first semester is 90-30 = <<90-30=60>>60 The total for the first semester is 90+75+60 = <<90+75+60=225>>225 The total for the second semester is 90+90+80 = <<90+90+80=260>>260 The combined marks for all the semesters in 260+225 = <<260+225=485>>485 #### 485 Brianne saves $10 in January. Each month, she saves twice as much as her previous month's savings. How much will she save in May? Brianne saves $10 x 2 = $<<10*2=20>>20 in February. She will save $20 x 2 = $<<20*2=40>>40 in March. She will save $40 x 2 = $<<40*2=80>>80 in April. Therefore, she will save $80 x 2 = $<<80*2=160>>160 in May. #### 160 James builds a 20 story building. The first 10 stories are each 12 feet tall each. The remaining floors are each 3 feet taller. How tall is the building? The first 10 floors are 10*12=<<10*12=120>>120 feet There are a remaining 20-10=<<20-10=10>>10 stories They are each 12+3=<<12+3=15>>15 feet So those stories are 15*10=<<15*10=150>>150 feet So the total height is 120+150=<<120+150=270>>270 feet #### 270 Gina is considered a bad tipper because she tipped 5%. If good tippers tip at least 20%, how many more cents than normal would Gina have to tip on a bill of $26 to be considered a good tipper? First convert the bill amount to cents: $26 * 100 cents/dollar = <<26*100=2600>>2600 cents Then multiply that amount by 5% to find the amount Gina normally tips: 2600 cents * 5% = <<2600*5*.01=130>>130 cents Then multiply the bill amount by 20% to find the amount of a good tip: 2600 cents * 20% = <<2600*20*.01=520>>520 cents Then subtract the good tip amount from the bad tip amount to find how much more Gina needs to tip: 520 cents - 130 cents = <<520-130=390>>390 cents #### 390