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Recent problems solved by 'stanbon'

stanbon answered: 57156 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>Next

Inequalities/473148: C(-4,-2)D(6,7) compute the slope of the line that passes through the points 1 solutions Answer 324431 by stanbon(57224)   on 2011-07-22 14:38:54 (Show Source): You can put this solution on YOUR website! C(-4,-2)D(6,7) compute the slope of the line that passes through the points --- slope = (7--2)/(6--4) = 9/10 ================================= Cheers, Stan H.

Expressions-with-variables/473149: What is the sum of 2x/5x^2 + 3/5x(x-1) ? 1 solutions Answer 324430 by stanbon(57224)   on 2011-07-22 14:36:30 (Show Source): You can put this solution on YOUR website! What is the sum of 2x/5x^2 + 3/5x(x-1) ? ----- lcd = 5x^2(x-1) ---- [2x(x-1)]/lcd + [3x]/lcd ----- Combine the numerators: [2x^2-2x+3x]/lcd ===== = [2x^2+x]/[5x^2(x-1)] ----- = [x(2x+1)]/[5x^2(x-1)] --- = (2x+1)/[5x(x-1)] ==================== Cheers, Stan H.

Polynomials-and-rational-expressions/473143: Quadratics: solvers Practice! Answers archive Lessons Word Problems In Depth • If you need immediate math help from PAID TUTORS right now, click here. (paid link) •Click here to see ALL problems on Quadratic Equations Please assist. I'm stumped..know making it harder than it is....-------------------------------------------------------------------------------- Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.1.8x +9.871 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The shop should build ______ bicycles. 1 solutions Answer 324429 by stanbon(57224)   on 2011-07-22 14:32:08 (Show Source): You can put this solution on YOUR website! C(x)=0.2x^2-1.8x +9.871 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? --- Minimum "C" occurs when x = -b/(2a) = 1.8/(2*0.2) = 4.5 --- The shop should build (rounding up to 5) bicycles. ================== Cheers, Stan H. ==================

Expressions-with-variables/473139: What is the sum x+4/x2+6x+9 - 1/x2-9 i dont get it beacuse it says the sum but has a minus sign here are the options: A) x2-x-15 (x+3)^2(x-3 B) x2+x-15 (x+3)^2(x-3) C) x2-15 (x+3)^2(x-3) D) x2-15 (x-3)^2(x+3) 1 solutions Answer 324425 by stanbon(57224)   on 2011-07-22 14:00:00 (Show Source): You can put this solution on YOUR website! (x+4)/(x^2+6x+9) - 1/(x^2-9) i dont get it because it says the sum but has a minus sign here are the options: ---------------- (x+4)/(x+3)^2 - 1/[(x-3)(x+3)] --- least common denominator: (x-3)(x+3)^2 --- Rewrite each fraction with the lcd as its denominator: --- [(x+4)(x-3)]/lcd - (x+3)/lcd --- Combine the numerators over the lcd: [x^2+x-12-x-3]/lcd ---- = [x^2-15]/[(x-3)(x+3)^2] ========================= Cheers, Stan H. ============= A) x2-x-15 (x+3)^2(x-3 B) x2+x-15 (x+3)^2(x-3) C) x2-15 (x+3)^2(x-3) D) x2-15 (x-3)^2(x+3)

Probability-and-statistics/473140: A class is collecting data on eye color and gender. They organize the data they collected into the table below. Numbers in the table represent the number of students from the class that belong to each of the ctegories. Express probabilities as simplifed fractions. brown blue green Male 22 18 10 Female 18 20 12 Find the probablity that a randomly selected studen from this clas a. doesnt have brown eyes b. has brown eyes or blue eyes c. is female or has green eyes d. is male, given the student has blue eyes e. If two people are randomly,selected, in succession, from the students in this class, find the probablity that they both have green eyes? 1 solutions Answer 324422 by stanbon(57224)   on 2011-07-22 13:48:09 (Show Source): You can put this solution on YOUR website! A class is collecting data on eye color and gender. They organize the data they collected into the table below. Numbers in the table represent the number of students from the class that belong to each of the ctegories. Express probabilities as simplifed fractions. brown blue green..Total Male 22 18 10.....50 Female 18 20 12.....50 Total...40....38...22....100 ---------------------------- Find the probablity that a randomly selected studen from this class a. doesnt have brown eyes:: 60/100 ------------ b. has brown eyes or blue eyes:: 62/100 ------------ c. is female or has green eyes::(50+22-12)/100 = 60/100 --------------- d. is male, given the student has blue eyes::10/22 --------------- e. If two people are randomly,selected, in succession, from the students in this class, find the probablity that they both have green eyes?:: 22C2/100C2 = 231/4950 = 0.0467 =================================== Cheers, Stan H. ==================

Probability-and-statistics/473131: A research hospital claims that more than 3.7% of the population suffers from high blood pressure. Use p, the represent the population proportion. Identify the following: H0: Ha: Which hypothesis is the claim? 1 solutions Answer 324420 by stanbon(57224)   on 2011-07-22 13:39:47 (Show Source): You can put this solution on YOUR website! A research hospital claims that more than 3.7% of the population suffers from high blood pressure. Use p, the represent the population proportion. Identify the following: Ho: p <= 0.037 Ha: p > 0.037 (claim) ------------------------------- Which hypothesis is the claim? Ans: Ha =============== Cheers, Stan H.

Functions/473133: f(x)= x squared/x squared-x-30 what is the domain, x and y intercept? 1 solutions Answer 324419 by stanbon(57224)   on 2011-07-22 13:34:31 (Show Source): You can put this solution on YOUR website! f(x)= x squared/x squared-x-30 what is the domain, x and y intercept? ---- f(x) = x^2/[(x-6)(x+5)] ---- Domain: All Real Numbers except x = 6 or x = -5 ---- x-int: y = 0 when x = 0 --- y-int: x = 0 when y = 0 ============================ Cheers, Stan H. =========

Sequences-and-series/473134: Are the two sets equal, equivalent, neither or both? Explain your answer. V = {cat, dog, bird}; W = {bird, dog, cat} 1 solutions Answer 324418 by stanbon(57224)   on 2011-07-22 13:31:35 (Show Source): You can put this solution on YOUR website! Ans: Yes Why? same elements in both sets ================================= Cheers, Stan H.

Probability-and-statistics/473132: From a bag containing 6 nickels,10 dimes,and 4 quarters,6 coins are drawn at random all at once. What is the probability of getting 3 nickels,2 dimes, and 1 quarter? 1 solutions Answer 324417 by stanbon(57224)   on 2011-07-22 13:30:06 (Show Source): You can put this solution on YOUR website! From a bag containing 6 nickels,10 dimes,and 4 quarters,6 coins are drawn at random all at once. What is the probability of getting 3 nickels,2 dimes, and 1 quarter? ------------------------- # of ways to get 3 nick, 2 dimes and 1 quarter: 6C3 * 10C2 * 4C1 = 3600 ---- # of ways to randomly select 6 coins from 20 = 38760 --- P(3 nick and 2 dimes and 1 quarter) = 3600/38760 = 0.0929 ======================================= Cheers, Stan H.

Miscellaneous_Word_Problems/473117: Children from the ages of four through twelve in the United States had a combined income of $20.3 billion in 1996. This was a 16% increase from 1995. What was their combined income in 1995? 1 solutions Answer 324416 by stanbon(57224)   on 2011-07-22 13:23:56 (Show Source): You can put this solution on YOUR website! Children from the ages of four through twelve in the United States had a combined income of $20.3 billion in 1996. This was a 16% increase from 1995. What was their combined income in 1995? ----- Let x be the combined income in 1995. --- Equation: x + 0.16x = 20.3 billion --- 1.16x = 20.3 --- x = 19.151 billion ====================== Cheers, Stan H.

Probability-and-statistics/473126: In a true/false quiz there are two possible answers to each of 5 questions. A student has not studied for the quiz and must guess the answer to each question. (You may assume that the student's guesses are independent of one another.) Random variable X counts the number of correct answers. 1 solutions Answer 324415 by stanbon(57224)   on 2011-07-22 13:18:23 (Show Source): You can put this solution on YOUR website! In a true/false quiz there are two possible answers to each of 5 questions. A student has not studied for the quiz and must guess the answer to each question. (You may assume that the student's guesses are independent of one another.) Random variable X counts the number of correct answers. ----------- What is the question? Cheers, Stan H.

Probability-and-statistics/473128: If X is normally distributed with a mean of 10 and a standard deviation of 4.2, and we know that P(X < c) = 0.7357, find c. 1 solutions Answer 324414 by stanbon(57224)   on 2011-07-22 13:14:24 (Show Source): You can put this solution on YOUR website! If X is normally distributed with a mean of 10 and a standard deviation of 4.2, and we know that P(X < c) = 0.7357, find c. --- Find the z-value with a left tail of 0.7357 invNorm(0.7357) = 0.6301 ---- Find the corresponding x-value: --- x = z*s+u x = 0.6301*4.2+10 = 12.65 ============================= Cheers, Stan H. ============

Radicals/473118: What is the index of a radical? When working with radicals can the radicand be negative when the index is odd? Can it be negative when the index is even? 1 solutions Answer 324411 by stanbon(57224)   on 2011-07-22 13:06:50 (Show Source): You can put this solution on YOUR website! duplicate

Travel_Word_Problems/473124: Driving at 42 mph one covers 19 miles in? 1 solutions Answer 324408 by stanbon(57224)   on 2011-07-22 13:02:24 (Show Source): You can put this solution on YOUR website! Driving at 42 mph one covers 19 miles in? --- time = distance/rate --- time = 19/42 = 0.4524 hrs = (0.4524*60 minutes) = 27.14 minutes ==================================== Cheers, Stan H.

Radicals/473120: What is the index of a radical? When workjing with radicals can the radicand be negative when the index is odd? Can it be negative when the index is even? 1 solutions Answer 324406 by stanbon(57224)   on 2011-07-22 12:58:19 (Show Source): You can put this solution on YOUR website! What is the index of a radical? When working with radicals can the radicand be negative when the index is odd? Can it be negative when the index is even? ---------------- The index is the root number: --- The radicand can be negative: If the index is odd and the radicand is negative the root is negative. Example: cbrt(-27) = -3 ------------------------------------- If the root is even and the radicand is negative the root is complex. Example: sqrt(-27) = 3sqrt(3)i ------------------------------------- Cheers, Stan H.

Inequalities/473098: Hello, can you please help me solve these two problems :) Find the solution set. Write answer in interval notation. x^3(X-2)^2(x+3)< 0 I tried to FOIL the squared quantity, which is a different of squares (x-2)(x+2), which gave me x^2-2x+2x- 4 then i tried multiplying the quantity (x+3)by (x^2-4) my answer ca out to be x^6 + 3x^4-4x^3+ 12x^2. I know this isnt correct? Help please ) Next question is Graph the Function. Specify the x-intercept, y-intercept, asymptote, domain and range. f(x)= 7^x Please help. Thank you! :) 1 solutions Answer 324391 by stanbon(57224)   on 2011-07-22 10:05:43 (Show Source): You can put this solution on YOUR website! x^3(X-2)^2(x+3)< 0 --- Draw a number line. Plot x = -3, x = 0, x = 2 Note: Those are value x cannot take as they would make the left side = 0. =================================== Test a value from each of the number line intervals to see where the solutions lie: ---------- x^3(X-2)^2(x+3)< 0 Test x = -10, -*-*- < 0 ; true, so solutions in (-oo,-3) ---- Test x = -1, -*-*+ < 0 ; false --- Test x = 1, +*-*+ < 0 ; true, so solutions in (0,2) ---- Test x = 10, +*+*+ < 0; false ========================== Solution: (-oo,-3)U(0,2) =================================================== Next question is Graph the Function. Specify the x-intercept, y-intercept, asymptote, domain and range. f(x)= 7^x x-int: Let y = 0, (there is no x-value that will make y = 0) --- y-int: Let x = 0, then y = 1 --- Asymptote: y = 0 --- Domain: All Real Numbers --- Range: All Real Number greater than 0 ================== =============== Cheers, Stan H.

Circles/473096: find the perimeter and area of a circle with the radius of 12. please explain how u got the answer..thanks :) use 3.14 for pi where necessary 1 solutions Answer 324389 by stanbon(57224)   on 2011-07-22 09:54:27 (Show Source): You can put this solution on YOUR website! find the perimeter and area of a circle with the radius of 12. --------- Perimeter = circumference = 2(pi)r = 2*3.14*12 = 75.36 units --- Area = (pi)r^2 = pi*12^2 = 452.16 sq. units ========================= Cheers, Stan H.

test/473092: The President’s Council on Fitness asked adults who exercise if they walk, run or stretch. Here is the Venn diagram of the results. Of those adults surveyed, how many walked and stretched? 1 solutions Answer 324388 by stanbon(57224)   on 2011-07-22 09:51:16 (Show Source): You can put this solution on YOUR website! No diagram shown.

Square-cubic-other-roots/473094: Please help me to find the rationalising factor of cu.root(4)+cu.root(10)+cu.root(25) 1 solutions Answer 324387 by stanbon(57224)   on 2011-07-22 09:50:11 (Show Source): You can put this solution on YOUR website! factor cu.root(4)+cu.root(10)+cu.root(25) ---- 4^(1/3) + 10^(1/3) + 25^(1/3) --- There are no common factors. Cheers, Stan H.

Equations/473093: what number must be added to each term of 5/8 to yield 3/4 what number must be subtracted to each term of 9/17 to yield 1/3 1 solutions Answer 324386 by stanbon(57224)   on 2011-07-22 09:47:27 (Show Source): You can put this solution on YOUR website! what number must be added to each term of 5/8 to yield 3/4 ---- Solve: (5+x)/(8+x) = 3/4 Cross-multiply to get: 20 + 4x = 24 + 3x x = 4 ============================ what number must be subtracted to each term of 9/17 to yield 1/3 (9-x)/(17-x) = 1/3 ---- 27-3x = 17-x --- 2x = 10 x = 5 =========== cheers, Stan H. ===========

Probability-and-statistics/473088: A person draws three balls in succession from a box containing four red balls, two white balls, and seven blue balls. Find the probability that the balls drawn are red, white, and blue, in that order. round to three decimal points 1 solutions Answer 324384 by stanbon(57224)   on 2011-07-22 09:44:50 (Show Source): You can put this solution on YOUR website! A person draws three balls in succession from a box containing four red balls, two white balls, and seven blue balls. Find the probability that the balls drawn are red, white, and blue, in that order. round to three decimal points --- Assuming no replacement, P(red and white and blue) = (4/13)(2/12)(7/11) ============ Cheers, Stan H. =========== Cheers, stan H.

Miscellaneous_Word_Problems/473056: - 100 stones are placed on the ground 3 feet apart, the first being 3 feet from the basket and all of the stones are in a straight line, how far does a person travel who starts from the basket and bring the stone to it one by one? - did not match any documents. 1 solutions Answer 324377 by stanbon(57224)   on 2011-07-22 09:13:29 (Show Source): You can put this solution on YOUR website! 100 stones are placed on the ground 3 feet apart, the first being 3 feet from the basket and all of the stones are in a straight line, how far does a person travel who starts from the basket and bring the stone to it one by one? - did not match any documents. ---- Procedure: Start with one stone; increase # of stones till you see a pattern. 1stone......3+3 ft = 2*3 2stone......(3+3)+(6+6)= 2*3+2*2*3 3stone......2*3+2*6+2*9 4stones.....2*3+2*6+2*9+2*12 = 2(1+2+3+4)3 = 6(1+2+3+4) ---- --- 100stones....6(1+2+3...+100) 6*(100/2)(101) = 6*50*101 = 30300 ft. ==================== Cheers, Stan H.

Geometric_formulas/473077: using the midpoint formula, find the coordinates of the midpoint of the segment whose endpoints are given: 1) E(4,-4), F(1,7) 2) G(2,9), H(-3,6) 3) I(-8,3), J(3,0) 1 solutions Answer 324373 by stanbon(57224)   on 2011-07-22 08:56:27 (Show Source): You can put this solution on YOUR website! using the midpoint formula, find the coordinates of the midpoint of the segment whose endpoints are given: 1) E(4,-4), F(1,7) mid = [(4+1)/2 ; (-4+7)/2] = (5/2,3/2) ------------------------------ 2) G(2,9), H(-3,6) mid = (-1/2,15/2) ------------------------ 3) I(-8,3), J(3,0) mid = (-5/2,3/2) ==================== Cheers, Stan H.

Human-and-algebraic-language/473078: samantha, lauren, and jerry own shares of the same stock with a total value of $7,650. if samantha owns fifthy shares, lauren owns seventy shares, and jerry owns thirty shares, what is the value in dollars of lauren's stock? 1 solutions Answer 324371 by stanbon(57224)   on 2011-07-22 08:53:32 (Show Source): You can put this solution on YOUR website! samantha, lauren, and jerry own shares of the same stock with a total value of $7,650. if samantha owns fifty shares, lauren owns seventy shares, and jerry owns thirty shares, what is the value in dollars of lauren's stock? ---- Equations: # of shares: 50+70+30 = 150 --- Each share is worth 7650/150 = $51 ---- Lauren has 70 shares worth 70*51 = $3570 ======= Cheers, Stan H.

Signed-numbers/473075: -7^2 , (-7)^2 why are they different? 1 solutions Answer 324369 by stanbon(57224)   on 2011-07-22 08:47:42 (Show Source): You can put this solution on YOUR website! -7^2 The negative is excluded from the squaring: -7^2 = -7*7 = -49 ---- (-7)^2 The negative is included in the squaring: (-7)^2 = (-7)(-7) = +49 =========================== Cheers, Stan H. ===========

testmodule/473066: Given these sets: A = {1, 2, 3, 4} B = {3, 4, 5, 6, 7} C = {3, 5, 7, 9} List the elements of this set B U(A∩C) 1 solutions Answer 324357 by stanbon(57224)   on 2011-07-22 07:55:39 (Show Source): You can put this solution on YOUR website! Given these sets: A = {1, 2, 3, 4} B = {3, 4, 5, 6, 7} C = {3, 5, 7, 9} List the elements of this set B U(A∩C) ---- = {3,4,5,6,7|U{3} --- = [3,4,5,6,7} = B =================== Cheers, Stan H.

Probability-and-statistics/473055: a tire is 95" in diamerer, with a 30" hole. What is the probability of throwing a football through the hole 1 solutions Answer 324356 by stanbon(57224)   on 2011-07-22 07:53:11 (Show Source): You can put this solution on YOUR website! a tire is 95" in diamerer, with a 30" hole. What is the probability of throwing a football through the hole --- Area of the "hole": (pi)15^2 --- Area of the target: (pi)47.5^2 ---- P(throw thru hole) = Area of hole/Area of target including tire --- P(throw thru hole) = 15^2/47.5^2 ============================= Cheers, Stan H.

Probability-and-statistics/473060: the probability of a computer chip failing is 2%. If 100 computers are sold, what is the probability of 12 computer chips failing. What equation would i use 1 solutions Answer 324354 by stanbon(57224)   on 2011-07-22 07:45:17 (Show Source): You can put this solution on YOUR website! the probability of a computer chip failing is 2%. If 100 computers are sold, what is the probability of 12 computer chips failing. --- Binomial Problem with n = 100 and p = 0.02 --- P(x = 12) = 100C12*0.02^12*0.98^88 = .00000072714... Cheers, Stan H.

Probability-and-statistics/473059: to win a lottery, 10 numbers must be picked in any combination from 15 numbers that can be repeated. What is the probability of selecting the correct series? what would the correct series equation be 1 solutions Answer 324353 by stanbon(57224)   on 2011-07-22 07:41:46 (Show Source): You can put this solution on YOUR website! to win a lottery, 10 numbers must be picked in any combination from 15 numbers that can be repeated. What is the probability of selecting the correct series? what would the correct series equation be ---- # of ways to pick the correct series: 1 # of combinations of 10 numbers: 15C10 = 15C5 = 3003 ----- P(pick correct combination) = 1/3003 ============= Cheers, Stan H. =============

Probability-and-statistics/473058: there are 7 red balls and 8 green balls in a bag what is the probability of pulling out two red balls if the balls are not replaced in the bag? 1 solutions Answer 324352 by stanbon(57224)   on 2011-07-22 07:38:44 (Show Source): You can put this solution on YOUR website! there are 7 red balls and 8 green balls in a bag what is the probability of pulling out two red balls if the balls are not replaced in the bag? ---- # of ways to select 2 red balls: 7C2 = 21 # of ways to pick 2 balls randomly: 15C2 = 105 --- P(select 2 red) = 21/105 = 7/35 = 1/5 =================== Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/473048: the amount of rice cake mix to be used varies directlywith the number of people who partakes of this food. suppose that it takes 7 cups of mix to serve 10 people a.) write the function expressing the number of cups of cake mix in relation to the number of people b.) how many cups of cake mix must be prepared fo people c.)about how many people can be served with 12 cups of cake mix 1 solutions Answer 324351 by stanbon(57224)   on 2011-07-22 07:35:29 (Show Source): You can put this solution on YOUR website! the amount of rice cake mix to be used varies directly with the number of people who partake of this food. suppose that it takes 7 cups of mix to serve 10 people a.) write the function expressing the number of cups of cake mix in relation to the number of people ---- m = kn Solve for "k" using "it takes 7 cups of mix to serve 10 people" 7 = k*10 k = 0.7 --- Equation: mix = 0.7*people ====================== b.) how many cups of cake mix must be prepared for ? people Ans: 0.7*(? people) ====================== c.)about how many people can be served with 12 cups of cake mix 12 = 0.7*n n = 12/0.7 n = about 17 ===================== cheers, stan H.