While practising for his upcoming math exams, Hayes realised that the area of a circle he had just solved was equal to the perimeter of a square he had solved in the previous problem. If the area of the circle was 100, what's the length of one side of the square?

Let's say the side of a square is s.To get the perimeter of a square, you add all the sides, which is s+s+s+s = 100

Therefore, 4s=

<<100=100>>100 Therefore one side of the square is s =100/4 = <<100/4=25>>25 #### 25 Felicity and Adhira took separate trips. Felicity used 5 less gallons of gas than four times the number of gallons that Adhira used for her trip. Together the girls used 30 gallons of gas. How many gallons did Felicity use? Let A = Adhira's gallons Felicity = 4A - 5 5A - 5 = 30 5A = 35 A = <<7=7>>7 Felicity used 23 gallons of gas for her trip. #### 23 What is the average age of the 1st and 5th fastest dogs if the 1st fastest dog is 10 years old, the 2nd fastest dog is 2 years younger than the first fastest dog, the 3rd fastest dog is 4 years older than the 2nd fastest dog, the 4th fastest dog is half the age of the 3rd fastest dog, and the 5th fastest dog is 20 years older than the 4th fastest dog? If the 1st fastest dog is 10 years old, and the 2nd fastest dog is 2 years younger than the first fastest dog, the 2nd fastest dog is 10-2=<<10-2=8>>8 years old. The 3rd fastest dog being 4 years older than the 2nd fastest dog, is 8+4=12 years old. The 4th fastest dog is half the age of the 3rd fastest dog, meaning the 4th fastest dog is 1/2*12=6 years old. The 5th fastest dog is 20 years older than the 4th fastest dog, meaning the 5th fastest dog is 6+20=26 years old. The total age of the 1st and 5th fastest dogs is 26+10=<<26+10=36>>36 years The average age of the 1st and 5th fastest dogs is 36/2=<<36/2=18>>18 years old. #### 18 The ratio of fuel used in gallons to the distance covered in miles by Haley's car is 4:7. If Haley's car used 44 gallons of gas, calculate the distance it covered in miles. The total ratio representing fuel consumption and distance traveled is 4+7=<<4+7=11>>11 If 4/11, which is the fraction representing fuel consumption, represents 22 gallons of gas, then 7/11 representing distance covered represents 7/11 * 44 * 11/4=<<7/11*44*11/4=77>>77 miles. #### 77 Kylie and Kayla pick apples together and take home 340 apples total. If Kayla picked 10 more than 4 times the amount of apples that Kylie picked, how many apples did Kayla pick? Let x be the number of apples Kylie picked Kayla picked 10+4x apples 340=x+(10+4x) 340=5x+10 330=5x x=66 apples Kayla picked 10+4(66)=274 apples #### 274 Matt's protein powder is 80% protein. He weighs 80 kg and wants to eat 2 grams of protein per kilogram of body weight each day. How much protein powder does he need to eat per week? He wants to eat 80*2=<<80*2=160>>160 grams of protein a day That means he needs 160/.8=<<160/.8=200>>200 grams of protein per day So he needs 200*7=<<200*7=1400>>1400 grams per week #### 1400 Wendy has 5 facial products she puts on in the morning and she waits 5 minutes between each product. She also spends an additional 30 minutes putting on her make-up. How much time does it take her to put on her "full face?" She puts on 5 products that take 5 minutes each so it takes her 5*5 = <<5*5=25>>25 minutes It takes 25 minutes to put the products on and an additional 30 minutes for her make-up so all total it takes her 25+30 = <<25+30=55>>55 minutes #### 55 Fred wants to order a variety pack of sliced meats for the upcoming game. He can order a 4 pack of fancy, sliced meat for $40.00 and add rush delivery for an additional 30%. With rush shipping added, how much will each type of sliced meat cost? The variety pack costs $40.00 and rush shipping is an additional 30% so that’s 40*.30 = $12.00 The variety pack costs $40.00 and rush shipping is $12.00 so they will cost 40+12 = $<<40+12=52.00>>52.00 The order will cost $52.00 and he will get 4 types of fancy, sliced meats so each type costs 52/4 = $<<52/4=13.00>>13.00 #### 13 Elena has 8 lilies and 5 tulips in her garden. Each lily has 6 petals. Each tulip has 3 petals. How many flower petals are in Elena’s garden? Elena has 8 * 6 = <<8*6=48>>48 lily petals Elena has 5 * 3 = <<5*3=15>>15 tulip petals Elena has a total of 48 + 15 = <<48+15=63>>63 petals #### 63 The city is holding its annual rubber duck race for charity. The regular size rubber ducks are $3.00 each and the large size rubber duck is $5.00 each. All of the rubber ducks will be dropped into the river at the same time and the first duck that floats across the finish line wins. They sold 221 regular size ducks and 185 large size ducks. How much money did the city raise for charity? They sold 221 regular size rubber ducks at $3.00 each so they made 221*3 = $<<221*3=663.00>>663.00 They sold 185 large rubber ducks at $5.00 each so they made 185*5 = $<<185*5=925.00>>925.00 The regular size ducks brought in $663.00 and the large brought in $925.00 for a total of 663+925 = $<<663+925=1588.00>>1,588.00 for charity #### 1588