The perimeter of a triangle is 160 cm. If two of the sides are 40 cm and 50 cm, calculate the length of the third side?

To get the perimeter, you add all the sides o the triangles, so the first two sides add up to 40+50 =

<<40+50=90>>90 cm. If the perimeter of the triangle is 160, the remaining side is 160-90 = <<160-90=70>>70 cm. #### 70 Before getting to work, Jess has a few errands to run. Jess has to walk 11 blocks to the store and 6 blocks to the gallery, before walking the final 8 blocks to arrive at work. If Jess has already walked 5 blocks, how many more blocks must she walk before arriving at work? Jess needs to walk 11 blocks + 6 blocks + 8 blocks = <<11+6+8=25>>25 blocks total. Jess needs to go 25 blocks – 5 = <<25-5=20>>20 blocks to get to work. #### 20 There are 40 Judges in the state of Rhode Island. 10 percent of Judges are under 30 years old. 60 percent of Judges are 30-50 years old. The rest of the Judges are over 50 years old. How many Judges are over 50 years old? Under 30: 40(.10)=4 30-50 years old:40(.60)=24 Over 50:40-4-24=12 Judges #### 12 Hally and her friends organized a high school reunion. To cover the cost of a late-night party that they planned for at the reunion, each attendee had to pay $100. After the party, Hally and her friends realized that the total expenses were $500 less than the total contributions. If there were 50 people at the party, how much money was used to pay for the party expenses? The total planned cost for the party was 100*50 = $<<100*50=5000>>5000 The total expenses for the party are 5000-500 = $<<5000-500=4500>>4500 #### 4500 There is a 5,200 sq. ft. house and a 7,300 sq. ft. house next to each other. The smaller house is being expanded. If the new total square footage of both houses is 16,000 sq. ft., how much is the smaller house being expanded by, in sq. ft.? Originally, the houses are 7300+5200=<<7300+5200=12500>>12500 sq. ft. in total. The smaller house will be expanded by 16000-12500=<<16000-12500=3500>>3500 sq. ft. #### 3500 MIlle is making snack packs for her kindergarten class. She's going to divide 64 pretzels, four times as many goldfish, and 32 suckers into baggies for the 16 kids in the class. How many items does each baggie have? First find the total number of goldfish Millie adds: 64 pretzels * 4 goldfish/pretzel = <<64*4=256>>256 goldfish Then add the number of each kind of snack to find the total: 256 goldfish + 64 pretzels + 32 suckers = <<256+64+32=352>>352 snacks Then divide the total number of snacks by the number of baggies to find the number of snacks per baggie: 352 snacks / 16 baggies = <<352/16=22>>22 snacks/baggie #### 22 Michael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use half of his pile of matchsticks. He creates 30 matchsticks houses. If he has now used all of the matchsticks he intended to and each matchstick house uses 10 matchsticks, how many matchsticks did Michael have originally? Michael has used a total of 30 matchstick houses * 10 matchsticks per matchstick house = <<30*10=300>>300 matchsticks. As he only used half of his collection for crafting, he must have originally had 300 matchsticks * 2 = <<300*2=600>>600 matchsticks. #### 600 James's favorite basketball player got paid based on how many points he averaged each week. He gets $10,000 if he averages 30 or more points a game and $8,000 if he averages under 30 points a game. For his last week, in the first game he scored 30 points and in the second game he scored 28 points. In the third game he scored 32 points. In the fourth game he scored 34 points and in the fifth game he scored 26 points. How much does he get paid for the week? His favorite player scored 150 total points that week because 30 plus 28 plus 32 plus 34 plus 26 equals 150 He averaged 30 points a game because 150 divided by 5 equals <<150/5=30>>30. He gets paid $10,000 because that's how much he gets if he averages 30 or more points that week. #### 10,000 There are 6 people going on an airplane trip. They each have 5 bags of luggage. Each of their bags weighs the maximum weight allowed, 50 pounds. The airplane can hold a total luggage weight of 6000 pounds. How many more bags at maximum weight can the plane hold? Each person brought 5 bags * 50 pounds per bag = <<5*50=250>>250 pounds per person. There are 6 people * 250 pounds per person = <<6*250=1500>>1500 pounds of luggage on the plane. The plan can hold 6000 pounds - 1500 pounds = <<6000-1500=4500>>4500 pounds of luggage space left. The plane can hold an additional 4500 pounds / 50 pounds per bag = <<4500/50=90>>90 pieces of luggage. #### 90 Salvadore earned $1956. Santo earned half of what Salvadore earned. How much money did the two men earn together? Santo = (1/2) 1956 = $978 1956 + 978 = $<<1956+978=2934>>2934 Together Salvadore and Santo earned $<<2934=2934>>2934. #### 2934