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word problem

  1. math_celebrity

    A=2(l+w) for l

    Multiply through: A = 2l + 2w To solve for l, subtract 2w from each side: 2l = A - 2w Divide each side by 2 l = (A - 2w)/2
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    Dinh has 4 more patients to care for than Juan. if Dinah has 18 patients to care for how many does J

    Dinh has 4 more patients to care for than Juan. if Dinah has 18 patients to care for how many does Juan? Let d = j + 14. Since d = 18, we have: 18 = j + 14 Plug this into the search engine and we have j = 4
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    Kelsi has 10 pens , she gave 2 away , how many does she have now

    Giving away 2 means subtracting, so we have 10 - 2 = 8 pens left over.
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    There are 36 fishing worms per tin. how many worms in 7 tins

    36 fishing worms per tin * 7 tins = 252 worms
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    A Salesperson receives a weekly salary of $100 plus a 5.5% commission on sales. Her salary last week

    A Salesperson receives a weekly salary of $100 plus a 5.5% commission on sales. Her salary last week was $1090. What were her sales that week? $1,090 - 100 = $990. This is her commission. Let s = Sales. So 0.055s = $990 Divide each side by 0.055. s = $18,000
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    A realtor makes an annual salary of $25000 plus a 3% commission on sales. If a realtor's salary is $

    A realtor makes an annual salary of $25000 plus a 3% commission on sales. If a realtor's salary is $67000, what was the amount of her sales? Total post-salary pay = $67,000 - $25,000 = $42,000 Let Sales be s. So 0.03s = $42,000 Divide each side by 0.03 s = $1,400,000
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    10 more dogs than cows

    Let d be dogs and c be cows. Then d - 10 = c or c + 10 = d
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    The parent company contributed $5 million for the 50 million votes cast. What did they pay each vote

    We want to see votes per dollar. So we divide 50 million votes by $5 million dollars. 50,000,0000 ------------ 5,000,000 We have 10 votes for every dollar spent. Or, ten cents per vote.
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    My son is 9 less than 1/2 my age. If I am 34 how old is my son?

    1/2 of the parent age is 34/2 = 17. 9 less than that is 17 - 9 = 8. The son is 8 years old. You can also write this as 1/2(34) - 9 --> 17 - 9 = 8.
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    Ruth prepares 7 kilograms of dough every hour she works at the bakery. How much dough did Ruth prepa

    Ruth prepares 7 kilograms of dough every hour she works at the bakery. How much dough did Ruth prepare if she worked for 5 hours? 7 kilograms of dough per hour * 5 hours of work = 35 kilograms of dough.
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    a speed that is greater than 98 miles per hour

    Let s denote speed. We have s > 98
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    What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the

    What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the larger? Let x and y be consecutive integers, where y = x + 1 We have 7x < 6y as our inequality. Substituting x, y = x + 1, we have: 7x < 6(x + 1) 7x < 6x + 6 Subtracting x from each side, we...
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    the square root of twice a number is 4 less than the number

    Write this out, let the number be x. sqrt(2x) = x - 4 since 4 less means subtract Square each side: sqrt(2x)^2 = (x - 4)^2 2x = x^2 - 8x + 16 Subtract 2x from both sides x^2 - 10x + 16 = 0 Using the quadratic calculator, we get two potential solutions x = (2, 8) Well, 2 does not work...
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    Leslie has 8 pencils. She has 9 fewer pencils than Michelle. How many pencils does Michelle have?

    Let m = the number of pencils Michelle has. So, Leslie has m - 9 = 8. Add 9 to both sides: m = 17. So Michelle has 17 pencils, and Leslie has 8, which is 9 fewer than 17
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    The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length a

    The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length and width. A flag is a rectangle shape. So we have the following equations Since P = 2l + 2w, we have 2l + 2w = 60 l = 7w - 2 Substitute Equation 1 into Equation 2: 2(7w -2) + 2w = 60 14w - 4 +...
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    Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded. Together they downloaded 220 song

    Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded. Together they downloaded 220 songs. How many songs did each download? Let x = Mr. Winkle downloads and y = Mrs. Winkle downloads. We then have x = y + 34 and x + y = 220. Substitute equation 1 into equation 2, we have: (y +...
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    %60 of the freshman ate pizza at lunch today. If 180 freshman ate pizza, how many freshman are enro

    60% of the freshman ate pizza at lunch today. If 180 freshman ate pizza, how many freshman are enrolled at our school? 60% of x = 180 We write this as 0.6x = 180 Divide each side by 0.6 to isolate x. We get x = 300 freshman
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    You can buy 8 DVDs for $48,how many can you buy for 96$

    Set up a proportion: 8/48 = x/96 Plug this into our calculator: You get x = 16.
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    Ruth has already jarred 3 liters of jam and will jar an additional 1 liter of jam everyday. How much

    Ruth has already jarred 3 liters of jam and will jar an additional 1 liter of jam everyday. How much jam did Ruth jar if she spent 7 days making jam? 7 days at 1 liter = 7 x 1 = 7. Add that 7 to our original 3 and we have, 7 + 3 = 10 liters of jam.
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    a fever is generally considered to be a body temperature greater than 100 F. You friend has a temper

    a fever is generally considered to be a body temperature greater than 100 F. You friend has a temperature of 37 C. Does you friend have a fever? 37 Celsius equals 98.6 F. Since this is less than 100F, your friend does not have a fever.
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