Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 200671: Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75 . See the figure below.
If the monthly bill for 17 HCF is$22.76 , what is the monthly bill for 21 HCF?


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Question 200805: Gita is one third as old as her mother.Twelve years hence she
will be half as old as her mother.What is the present age of
Gita and her mother?

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Question 200913: 13). A purse contains one rupee.50 paise and 25paise coins in the
ratio 2:3:4.If the total value of the coins is Rs 90,find the number
coins in each denominations.
14). The digit at tens place of a two digit number is four times the
digit at unit place.If the sum of this number and the number
formed by reversing the digits is 55.Find the number.
*15).Three prizes are to be given in a quiz contest.The value of the
second prize is three fourth of the value of the first prize and
four third of the third prize.If the total value of the three prizes
is Rs 222.Find the prize value of each prize.
16).The numerator of a fraction is 5 less than the denominator.If 3
is added to both the numerator and the denominator,the new
fraction is 2/3.Find the fraction.
* 17).A man is 40 years old and his son is 12 years old.
(i) How many years ago was the man’s age eight times the age
of his son?
(ii) How many years hence will the age of the man be three
times the age of his son?
18) . The perimeter of a triangle measures 49cm.The one side is
7cm longer than the other and 5cm shorter than the third .
Find the length of each side
*19). A field can be ploughed in 14 days.If 20 hectares of land is
ploughed more daily,the work will be finished in 10 days.Find
the area of the land which can be ploughed daily.Also find the
area of the field.




1). Find the value of 2x3- 3x2 + x – 1 if x = -2.
2). If x= 1,y= 2, z= -1,find the value of each of the following
expressions.
2xy4 – 15x2y + z (ii) x3 + y3+ z3 – 3xyz
(iii)x3 –y3+ z3+ 3xyz (iv) 4xy2 – 3yz2 + 4x2z
3). Add the following expressions
(i)x3, ,-3x3,2x3,-4x3 (ii)2a2- 3ab,5a2 + 4ab
(iii) a2+ 2ab + b2,a2 – 2ab + b2,a2- b2
(iv) 18a – 10b,-2a + 12b,-10a + 6b
(v) 2x2 - 4x- 3,5x-6x2+ 2,6x-3 +5x2
4). Subtract
(i)4a +3b from 2a + 2b – 4 (ii) x2 + y2 from 5x2 + 3y2 + 2
(iii) 10a2 -5a from -10a -6a2
(iv) 6x3 – 7x2 + 5x – 3 from 4 – 5x + 6x2 – 8x3
(v) x2y -4xy2+ 4xy from 2x2y + 3xy2-xy
5). From the sum of 4x2 -6x + 3 and -4x2 -7x + 5 subtract 3x2-8x + 6.
6). What should be added to 5x2 + 6x -3 to get 3x + 2?
7). Multiply
(i) 9x2y and 2y2x2 (ii) -4/3ab and 3/2 a2c
(iii) x3(x2y + y2x) (iv) -8y( 2xy + 3y2)
(v) 3/5xy⌊1/10 x - 4/7 y⌋ (vi) xyz(4y2 + 9x2)
8.Simplify
i) p^2 (p^2 - q^2 ) + q^2 (p^2 - q^2 )
ii)a(b-c) - b(c –a) – c(a – b)
iii)xy^2 (4xy -2x^2 )- x^3 y( 1-2y)+ x^2 y(x- y^2 )
9. Find the products
i) (x + a)( x + b)
ii) (9x + 5y)(3x – 2y)
iii)(2x^2- 1)(4x^2+ 5x)
iv) (3x2 + 7y)(5x – 6y)
v)(3/5 xy+ 5/2 y^2 z)(2x-3yz)
10. Find the products and verify the results for x = 1 and y = -2
i)(7xy + 4y^2 )(3y^2+ 8x^2)
ii)(11y + 7x^2)(1/2 x^(3 )+ xy))
iii)(9x + 1/2 y^3 )(x^(3 )– y^3 )
11.Simplify
i)3x2 + 4x(3x – 4y) - 20 xy
ii)8ab x 2 b2 + 7a2b x (5y – 3x)
iii)1/5 ( 5x^(2 )+ 10y^2 )(x^2 – y^2 )
iv)(2x + y) (1 + 4x + 3y) - 6x (x + y)
v)(3y + 5x – 7)(x -1) – (y -2x + 3) (x + 4)
12.)Multiply
i) (x + y ) and (x2 – xy + y2) ii)(2a + 3) x 5a x (-a + 1)
iii)1/(2 ) m x (8m -6) x ( 4 – 12 m)

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Question 200947: please help me solve this problem:
a farmer and his son leave a barn at the same time and walk in opposite driections checking a fence line. the son walks at the speed of 3.5km/h and the farmer at 4.0km/h. how much time will have elapsed when the farmer and his son are 2.5km apart

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Question 200990: If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how long does it take them to paint the house together?
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Question 200990: If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how long does it take them to paint the house together?
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Question 201090: i actually have two questions.
1) what is the answer to this question: the sum of two consecutive is -67
find the integers
2) the sum of two consecutive integers is 28
find the integers
how do i do this and write it out?

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Question 201268: Chapter 11: Exercise 11.2 (ANOVA)
11.2 One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians
Scrap Rate (Per Thousand Units)
FIGURE 11.12
MINITAB’s one-factor ANOVA
Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26 40
29



12.60 Below are revenue and profit (both in $ billions) for nine large entertainment companies.
(a) Make a scatter plot of profit as a function of revenue.
(b) Use Excel to fit the regression, with fitted equation and R2.
(c) In your own words, describe the fit. (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment
Revenue and Profit of Nine Entertainment Companies
Company Revenue Profit
AMC Entertainment 1.792 −0.020
Clear Channel Communication 8.931 1.146
Liberty Media 2.446 −0.978
Metro-Goldwyn-Mayer 1.883 −0.162
Regal Entertainment Group 2.490 0.185
Time Warner 43.877 2.639
Univision Communications 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267




Chapter 15: Exercise 15.6 (Chi-Square)
15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group.
(a) Make a bar chart and describe it.
(b) Calculate expected frequencies for each class.
(c) Perform the chi-square test for a uniform distribution. At α = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo
Purchaser Age Units Sold
18–24 38
25–34 28
35–44 19
45–54 16
55–64 10
65+ 9
Total 120

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Question 201451: a farmhouse has 15 animals. Some are goats and some are ducks. altogether there are 48 legs. how many of each animal are there?
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Question 201450: lisa spent $44 on shirts.tee shirts cost $10 and long sleeves shirts cost $4. if she bougt a total of 8 then how many of each kind did she buy?
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Question 201473: A bee leaves S at noon and flies at 4mph on a straight line towards T. One half hour after the bee leaves S, a hornet leaves Sheading towards T along the same straight line, flying at 5.5mph. At what time will the hornet catch the bee?
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Question 201473: A bee leaves S at noon and flies at 4mph on a straight line towards T. One half hour after the bee leaves S, a hornet leaves Sheading towards T along the same straight line, flying at 5.5mph. At what time will the hornet catch the bee?
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Question 201477: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-65.95), where it is assumed that t>=300 minutes. What times will keep cost between $108.95 and $131.45?
For the cost to be between $108.95 and $131.45, the telephoning time must be between ___ minutes and ___ minutes.

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Question 201703: sanjay is now 1/2 as old as his brother. In 6 more years he will be 3/5 as old as his brother. Find the present age of each boy.
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Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps.
My solution
P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94)
equaiton: P=2W + 2L 308=120 +2L
308=2w +2w +68 308-120=120-120+2L
308=4w +68 188=2L
308-68=4w +68 -68 188/2=2L/2
240=4w 94=L
240/4=4w/4
60=w

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Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps.
My solution
P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94)
equaiton: P=2W + 2L 308=120 +2L
308=2w +2w +68 308-120=120-120+2L
308=4w +68 188=2L
308-68=4w +68 -68 188/2=2L/2
240=4w 94=L
240/4=4w/4
60=w

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Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps.
My solution
P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94)
equaiton: P=2W + 2L 308=120 +2L
308=2w +2w +68 308-120=120-120+2L
308=4w +68 188=2L
308-68=4w +68 -68 188/2=2L/2
240=4w 94=L
240/4=4w/4
60=w

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Question 201761: the scale on a set of plans states that 1/8 inch equals 1 foot. if a water line measures 5 1/2 inches on the plans, what would its actual length be?
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Question 201755: Joseph mixes a certain amount of 10% isopropyl misture with 60 gallons of a 20% isopropyl solution, and the resulting mistiure is 16% isoprppyl. how much of the 10% isoproply did he add? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps
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Question 201779: On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour more, and it took him 30 minutes less to get to work. How far (in miles) does he travel to work?
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Question 201797: Jeb has 25 coins.They are all quarters and nickels. He has a total of $2.85. How many quarters and nickels does he have? construct an algebraic equation, solve the variable, and answer the question. You must solve the problem using algebra
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Question 201756: Christina purchased a new car and paid $12880 after a price reduction of 8% was applied to the original prive.
What was the original price of the vehicle before the discount was applied? To earn credit, you MUSt contruct an algeraic equation with a variable and solve using algebra steps

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Question 201840: Anthony invested a certain amount of money into a savings account, and invested 3 times that amount into a mutual fund. Of after one year the savings account earned 5% interest and the mutual fund earned 11% interest, and the total interest earned from the two investments was $152, how much did Anthony initially invest in each? To earn credit, You must contruct an algebrais equation with a variable and solve using algebra steps.
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Question 201829: Solve usingthe 5 step method
When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the orginal number is 11. What is the original number?

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Question 201762: the building code states that a particular building must have a minimum of 1250 square feet of yard, and that no dimension can be less than 20 feet. would a yard be approved if it measured 32 ft by 38 ft? what about a 19 ft by 70 ft yard? A 42 ft by 35 ft yard?
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Question 201904: Please help me with this problem. Thank you!!!!
Problem:
Retail Sales of Sweatshirts.
Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones sell for $19.50 each. If receipts for the sale of 30 sweatshirts total $572.90, how many of each color did the shop sell?
Thank you!

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Question 201935: Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 5
Add 10 to the product
Divide the sum by 5
Subtract 1 from the quotient

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Question 201899: The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an adult’s plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?

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Question 201754: Anthony invested a certain amount of money into a savings accoun, and invested 3times that amount into a mutual fund. of after one year the savings account earned 5% interest and the mutual fund earned 11% interest, and the total interest earned from the teo investments was $152, how much did Anthony initially invest in each? To earn credit, you MUST construct an algebraic euqation with a variable and solve using algebra steps
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Question 201879: 1. A disc jockey must play 16 commercial sports during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 13 min, how many 30-second commercial were played that hour? How many 60-second commercials?
2.The Everton College store paid $1834 for an order of 50 calculators. The store paid $ 10 each scientific calculator. The others, all graphing calculators, cost the store $56 each. How many of each type of calculator was ordered?
3.Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $30 on a unit of lumber and $45 on a unit of plywood. How many of each unit must produced and sold in the order to make a profit of $16830?
I have a hard time to Solving Word problems. please help me with step by step.
I really appreciate !!!!

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Question 201973: The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an adult’s plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?

Thank you!!!

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Question 202048: 1)A small plane took 3 hours to fly 960 km from Ottawa to Halifax with a tail wind. On the return trip, flying into the wind, the plane took 4 hours. Find the wind speed and the speed of the plane in still air.
2)Maria drove from Owen Sound to Ottawa, a distance of 550km. The trip took 7h. Maria drove at 70km/h for part of the trip and at 85km/h for the remainder of the trip. How far did she drive at 70km/h?
3)The Mackenzie, the longest river in Canada, is 1056 km longer than the Yukon, the second longest river. The total length of the two rivers is 7426km. Find the length of each river.
4) Zach invested in a term deposit that paid 4% interest per year and in a municipal bond that paid 6% interest per year. If he invested a total of $13000 and earned $700 interest in a year, how much did he invest at each rate?

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Question 202047: 1) The music teacher at your school buys and sells fresh fruit to help raise funds to support the school concert band. One day the total order for bags of oranges and bags of apples cost $33.00 exactly. If 15 bags of fruit were purchased, how many bags contained oranges?
BY THE BAG
ORANGES $5.00
APPLES $2.00
2)The Outdoors Club held a car wash to raise money. They washed cars for $5 each and vans for $7 each. They washed 45 vehicles and made $243. How many of each type of vehicle did they wash?
3)One type of granola is 30% fruit, and another type is 15% fruit. What mass of each type of granola should be mixed to make 600g of granola that is 21% fruit?
4). One lawn fertilizer is 24% nitrogen and another is 12% nitrogen. How much of each fertilizer should be mixed to obtain 100kg of fertilizer that is 21% nitrogen?
plzzzz help! thanks!


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Question 202212: If you buy 5 pitas and 3 salads you get .10 change back from $20. If you buy 8 pitas and 2 salads, it will cost you $26.10. How much change would you get from $20.00 if you bought 3 pitas and 5 salads? (show all steps) Remember to us "let" statement to begin.
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Question 202242: Pleaseee Help me with the following question, I will be grately thankful.
A bicycle has two sets of gears, one at the pedals and one at the rear wheel. A typical 10-speed bicycle has two gears on the chain wheel and five gears on the rear wheel. The speed at which a bicycle travels depends on three independent factors:
- The first is the speed at which the cyclist pedals to turn the front gear (measured in rotations per minute).
- The second is the gear ratio from the front gear to the rear wheel (a ratio between the number of teeth on the rear gear).
- The third is the size of the rear wheel (measured as the diameter of the wheel).
a)Develop a formula that predicts the velocity in km/h for a bicyclist.(2 marks)
b)How fast will a cyclist travel (in km/h) who is pedalling at 50 rpm with a 42-toothed gear on the front, a 14-toothed gear on the back, and a tire with a diameter of 26 inches?(2 marks)
c)In what ways can a cyclist pedal more slowly but maintain the same speed?(1 mark)

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Question 202288: HI, i cannot seem to find my mistakes in these three questions....can u plzz kindly solve these so i can see where i went wrong?

1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25?
2)Create a linear system of two equations that has no solution.
3)Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was $368, how much was invested at each rate?

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Question 202288: HI, i cannot seem to find my mistakes in these three questions....can u plzz kindly solve these so i can see where i went wrong?

1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25?
2)Create a linear system of two equations that has no solution.
3)Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was $368, how much was invested at each rate?

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Question 202270: 1. Kwenze and Michael both work at an athletic footwear store. Every month Kwenze is paid a salary of $350.00 plus a 1.5% commission on all his sales. Michael is paid only on commission at a rate of 5.0%, but is thinking of asking his employer for the same salary plan as Kwenze. Calculate Kwenze’s monthly salary for a month in which he has sales totalling $12 500. Then calculate Michael’s salary for a month in which he has total sales of $32 000.
2. Let x represent total monthly sales and y the monthly salary. Write the equation for the relation between Kwenze’s total monthly sales and his monthly salary. Then write the corresponding relation for Michael.
3. Graph the two relations. Find the point of intersection (where sales are the same). Using your graph, give Michael your best advice. Explain your reasoning.

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Question 202439: I need to step by step to understand this please?
In order to achieve maximum results from aerobic exercise, one should maintain one’s heart rate at a certain level, A 45-yr-old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and beats and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of the beats be?
The number of the beats in 10 sec should be between? and ? beats.
(Type the smaller number in the first answer box and the larger number in the second answer box. Round to the nearest whole number.)
Thank you very much!

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Question 202437: Help with this word problem please!
Bayside Insurance offers two health plan A, Giselle would have to pay the first $100 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pa the first $110, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $110 in bills.
Giselle would save with plan B if she had more than $? in bills.
(Round to the nearest whole number)
Thank you!!!

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Question 202633: There are 6 adults and 3 children present at the Mann family's
reunioun dinner. Each adult has a dinner plate and a salad plate. Each child only has a dinner plate.
a. write an expression to describe the total number of plates at the table.
b. simplify the expression and state the total number of plates at the table.

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Question 202700: Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 120 cups. But when you raise your price to $3 you only sell 60 cups.
a. Write an equation for the number of cups you sell as a function of the price you charge.
b. Denote "C" for number of cups, and "P" for the price you charge.
c. Assume the function is linear.

Continuing our lemonade stand question:
a. We all know that total revenue (TR) is a function of the price we charged (P) multiplied by the item quantity sold (in our case – Cups), i.e., TR = Price * Cups
b. Please write the equation for your TR by inputting your answer from the function you have calculated in question #2.
c. What price would maximize your TR?




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Question 202710: Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 120 cups. But when you raise your price to $3 you only sell 60 cups.
a. Write an equation for the number of cups you sell as a function of the price you charge.
b. Denote "C" for number of cups, and "P" for the price you charge.
c. Assume the function is linear.

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Question 202718: Jim is an avid fisherman. He varies the depth at which he fishes according to the following: D(t)=-t^2+10t where t is measured in hours. Estimate the time when he fishes at the greatest depth and tell me that depth.

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Question 202722: Please help me solve this problem. Thank you!!!!
The body mass index, I can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I=700W/H2(small 2), where W= weight, in pounds, and H= height, in inches, in inches. Francis weights 198 pounds and stands 76 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low-risk category.
Francis’s approximate body mass index is ?
(Round to the nearest whole number.)
{W/W < (approximate) ? lb}
(Round to the nearest whole number.)

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405