Math

Problem 63601

A car goes 64 mph. How far does it travel in 3 hours and 15 minutes? Calculate using d=rtd = rt.

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Problem 63602

Find the composite functions for f(x)=8x+4f(x)=8x+4 and g(x)=x2g(x)=x^{2}: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g. Also, state the domain for each function.

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Problem 63603

Identify the experiment, trial, and outcome in a flu vaccination study with patients. Select all that apply.

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Problem 63604

A school play sold 500 tickets for \$1480. Student tickets are \$2, adult tickets are \$5. How many of each type?

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Problem 63605

Find f(6)f(-6) for f(x)=2x+2f(x)=2x+2 and g(3)g(-3) for g(x)=2x35g(x)=-2x^{3}-5. Simplify your answers.

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Problem 63606

A copy machine makes 154 copies in 3.5 minutes. How many copies does it make per minute? 1543.5\frac{154}{3.5} copies per minute.

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Problem 63607

The formula for aluminum carbonate is Al2(CO3)3Al_2(CO_3)_3.

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Problem 63608

Solve the equations: 2x+3y=8-2x + 3y = 8 and 5x2y=95x - 2y = -9. Choose the correct solution from the options provided.

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Problem 63609

Calculate the sum: 1213+(113) \frac{12}{13} + \left(-\frac{1}{13}\right) .

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Problem 63610

A car goes 68 mph. How long to travel 238 miles? hours \square minutes

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Problem 63611

Calculate 12223+(9×3)12^{2}-23+(9 \times 3).

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Problem 63612

Find the mean, median, and mode of the data from this stem-and-leaf plot: 0 | 4, 1 | 55, 2 | 4578, 3 | 2.

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Problem 63613

Find the composite functions for f(x)=4x+7f(x)=4x+7 and g(x)=x2g(x)=x^{2}, and state their domains: (a) fgf \circ g (b) gfg \circ f (c) fff \circ f (d) ggg \circ g

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Problem 63614

A light bulb uses 3600 watt-hours daily. Find its consumption in 3 days and 18 hours.

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Problem 63615

Calculate the expression: 12223+(9×3)12^{2}-23+(9 \times 3).

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Problem 63616

Solve the equations: 3x+4y=13-3x + 4y = 13 and 5x3y=185x - 3y = -18. Choose the correct solution from the options provided.

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Problem 63617

Xavier buys 18 bottles of orange juice for a total of \14.04.Whatisthecostperbottle?Calculate:14.04. What is the cost per bottle? Calculate: \frac{14.04}{18}$.

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Problem 63618

Tomás calculates 2.6+(5.4)-2.6 + (-5.4). What is the result?

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Problem 63619

For f(x)=8x+3f(x)=8x+3 and g(x)=x2g(x)=x^{2}, find the composite functions: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g and their domains.

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Problem 63620

Find the composite functions for f(x)=8x+3f(x)=8x+3 and g(x)=x2g(x)=x^{2}, and state their domains:
(a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g.

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Problem 63621

A store buys 17 sweaters for \$204 and sells them for \$646. Find the profit per sweater.

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Problem 63622

A CEO rewards employees with vacation days (M or T). Define events: AA (two same days) and BB (winning a Monday). Place dots in AA, BB, or AA AND BB.

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Problem 63623

Calculate 5012+(12.3)50 \frac{1}{2} + (-12.3).

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Problem 63624

Find the correct formula for rubidium phosphate.

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Problem 63625

Nicole practiced the piano 2030 minutes in 5 weeks. Find her daily practice rate in minutes per day.

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Problem 63626

Write numbers in specified place values: 1 in hundreds, 8 in tens, 4 in ones, etc. Explain value of 0 in ten thousands.

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Problem 63627

Rearrange the dots in the Venn diagram based on events AA (two same days) and BB (at least one Monday).

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Problem 63628

42 is 6 times more than 7.

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Problem 63629

What is the correct name for the compound N2O4N_{2}O_{4}?

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Problem 63630

Ava practiced piano for 588 minutes over 14 days. What is her daily practice rate in minutes?

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Problem 63631

Calculate the expression: (107)+(2×14÷4)(10-7)+(2 \times 14 \div 4).

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Problem 63632

Calculate the mean, median, and mode for the data set: 89, 56, 60, 48, 22, 48. Round answers to one decimal place.

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Problem 63633

Round 38,469 to the nearest thousand. How many seats does the stadium have?

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Problem 63634

What is the correct name for the compound S2 F4\mathrm{S}_{2} \mathrm{~F}_{4}?

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Problem 63635

What is the correct name for the compound P2S6P_{2}S_{6}?

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Problem 63636

What is the name of the compound XeF4\mathrm{XeF}_{4}?

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Problem 63637

Find composite functions for f(x)=xf(x)=\sqrt{x} and g(x)=8x+1g(x)=8x+1: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g.

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Problem 63638

What events does rolling a 3 belong to? Choose all that apply: EE OR LL, EANDLE^{\prime} \mathrm{AND} L, EE AND LL, EE^{\prime} OR LL^{\prime}, LL^{\prime}.

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Problem 63639

Find P(B)P(B) given P(A)=0.4P(A)=0.4, P(A OR B)=0.89P(A \text{ OR } B)=0.89, and P(A AND B)=0.01P(A \text{ AND } B)=0.01.

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Problem 63640

What is the probability of rolling a 1, 2, or 3 on the first die and a 5 on the second die? Express as a fraction.

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Problem 63641

Which symbol makes this true: 547,098574,908547,098 \bigcirc 574,908?

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Problem 63642

What is the correct name for the compound PCl₃?

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Problem 63643

Which events include drawing the Blue 1 card? Choose all that apply: RR AND EE, RR AND OO, BB AND OO, RR^{\prime}.

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Problem 63644

Calculate moles of CH3OH\mathrm{CH}_{3} \mathrm{OH} in 150.0 mL150.0 \mathrm{~mL} of 0.210MCH3OH0.210 \mathrm{M} \mathrm{CH}_{3} \mathrm{OH}.

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Problem 63645

Find the secant line equation for y=f(x)=x2+xy=f(x)=x^{2}+x between x=3x=3 and x=7x=7. What is y=y=?

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Problem 63646

Find the secant line between x=3x=3 and x=7x=7 for y=f(x)=x2+xy=f(x)=x^{2}+x and the tangent line at x=3x=3.

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Problem 63647

A rectangle's length is 5ft5 \mathrm{ft} more than twice the width, with an area of 42ft242 \mathrm{ft}^{2}. Find its dimensions.

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Problem 63648

Find the probability that a patient has the flu and is a woman, given P(A)=0.09P(A)=0.09 and P(B)=0.65P(B)=0.65.

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Problem 63649

Find the functions: a. (fg)(x)(f \circ g)(x); b. (gf)(x)(g \circ f)(x); c. (fg)(2)(f \circ g)(2); d. (gf)(2)(g \circ f)(2) for f(x)=6xf(x)=6-x and g(x)=2x2+x+9g(x)=2x^2+x+9.

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Problem 63650

Find the probability of a student taking yoga or pilates given: P(yoga) = 0.70, P(pilates) = 0.60, P(yoga and pilates) = 0.51.

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Problem 63651

Find the secant line for y=f(x)=x2+xy=f(x)=x^{2}+x at x=3x=3 and x=7x=7, and the tangent line at x=3x=3.

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Problem 63652

What is the probability that Sam chooses either the day shift or the night shift if P(day) = 0.9 and P(night) = 0.03?

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Problem 63653

Select the graph of f(x)=2f(x)=-2 and compare it with its parent function f(x)=0f(x)=0.

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Problem 63654

Calculate the expression: 32+(2+12×2)16÷43^{2} + (2 + 12 \times 2) - 16 \div 4.

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Problem 63655

Find the probability of a student living off campus given that P(cafeteria and off campus) = 0.07 and P(cafeteria | off campus) = 0.20.

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Problem 63656

A pond's water amount WW (liters) is given by W=35T+600W=35T+600 for time TT (minutes) in [0, 90]. Find domain and range sets.

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Problem 63657

Find the probability of either event AA or event BB occurring, given P(A)=0.09P(A)=0.09 and P(B)=0.03P(B)=0.03.

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Problem 63658

Find the secant line between x=3x=-3 and x=1x=-1 for y=f(x)=x2+xy=f(x)=x^{2}+x and the tangent line at x=3x=-3.

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Problem 63659

Find the probability that a student is a business major given that the probability of being in a statistics course is 0.29 and 0.67. Round to three decimal places.

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Problem 63660

A publishing company has C=25N+700C=25N+700 for costs. Find the domain and range values for NN (0 to 300) and CC.

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Problem 63661

A gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

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Problem 63662

Calculate f+gf+g, fgf-g, fgfg, and fg\frac{f}{g} for f(x)=4x9f(x)=4x-9, g(x)=x2g(x)=x-2. Find their domains.

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Problem 63663

Find the quotient of 125\frac{12}{5} and 310\frac{3}{10}, and express it in simplest form.

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Problem 63664

A police officer gives a warning with probability 0.03 and a ticket or warning with probability 0.52. Find the ticket probability.

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Problem 63665

Find integers for the description: fewer than 9 people.

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Problem 63666

Find the probability of either event AA or event BB occurring, given P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42.

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Problem 63667

Find the slope of the tangent line for f(x)=5xf(x)=\frac{5}{x} at x=4x=4 by calculating the instantaneous rate of change.

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Problem 63668

An airplane's fuel tank holds 300 gallons. If W=7F+4000W=7F+4000, describe the domain and range values. Choose the best sets.

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Problem 63669

Find the probability of either event AA or event BB occurring, given P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42.

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Problem 63670

Find the secant line for f(x)=5xf(x)=\frac{5}{x} between x=4x=4 and x=5x=5, and the tangent line at x=4x=4.

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Problem 63671

Calculate the mean, median, and mode of these depths: 4.1, 4.1, 4.0, 4.1, 3.9, 4.4, 3.9, 4.3, 4.0, 4.2, 4.0, 3.8.

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Problem 63672

Simplify the fraction 1218\frac{12}{18}. Is it already simplified? A. 1218=\frac{12}{18}=\square B. Cannot simplify.

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Problem 63673

Let xx be the weight bench-pressed by other competitors. Write the inequality: x40023x \leq 400 - 23.

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Problem 63674

Find the slope of the tangent line for f(x)=5xf(x)=\frac{5}{x} at x=4x=4. The slope is 516-\frac{5}{16}. What is the tangent line equation?

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Problem 63675

How far does sound travel in 3×10103 \times 10^{10} seconds at 3.4×1023.4 \times 10^{2} m/s? Show the calculator's answer.

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Problem 63676

Convert the mixed number 4 1/3 to a fraction. What is it? 413=4 \frac{1}{3} =

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Problem 63677

Simplify the fraction 618\frac{6}{18}. Choose A or B: A. 618=\frac{6}{18}= B. Cannot be simplified.

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Problem 63678

Write the missing number. 3+2=2+_3 + 2 = 2 + \_

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Problem 63679

What is the sum of 16\frac{1}{6} and 3536\frac{35}{36}? Provide a whole number or simplified fraction.

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Problem 63680

Calculate the product of 57 and 23: 57×2357 \times 23.

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Problem 63681

Find the weight of an airplane with 70 gallons of fuel, given it weighs 2012 lbs at 20 gallons and 2208 lbs at 55 gallons.

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Problem 63682

Calculate the mean and median weights for offensive and defensive linemen. Compare their weights. Round to one decimal place.

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Problem 63683

Find the probability that a child requests a toy and watches cartoons, given P(A)=0.56P(A) = 0.56 and P(BA)=0.89P(B|A) = 0.89. Answer as a percent.

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Problem 63684

Find the sums or differences for the following:
1. 15+25\frac{1}{5}+\frac{2}{5}
2. 8949\frac{8}{9}-\frac{4}{9}
3. 510310\frac{5}{10}-\frac{3}{10}
4. 38+18\frac{3}{8}+\frac{1}{8}
5. 38+16\frac{3}{8}+\frac{1}{6}
6. 112+23\frac{1}{12}+\frac{2}{3}
7. 3416\frac{3}{4}-\frac{1}{6}
8. 51218\frac{5}{12}-\frac{1}{8}
9. 512+2145 \frac{1}{2}+2 \frac{1}{4}
10. 9310+4129 \frac{3}{10}+4 \frac{1}{2}
11. 7562127 \frac{5}{6}-2 \frac{1}{2}
12. 73137-3 \frac{1}{3}
13. 3.04+2.8813.04+2.881
14. 14.96.1814.9-6.18
15. 8.190.0428.19-0.042
16. 73.24+12.62373.24+12.623

Also, answer the question: How is adding fractions different from adding integers?

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Problem 63685

Chau drives to Dallas. After 43 min, he has 47 miles left; after 65 min, 30.5 miles. How far after 71 min?

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Problem 63686

Find the difference between Carl's weight gain (1,6951,695 gms) and Don's weight loss (2,958-2,958 gms).

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Problem 63687

Divide: 14÷12\frac{1}{4} \div \frac{1}{2}. What is the answer as a whole number or simplified fraction?

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Problem 63688

Find P(B)P(B) given P(A AND B)=0.29P(A \text{ AND } B)=0.29 and P(AB)=0.67P(A \mid B)=0.67. Answer as a percent, rounded to two decimal places.

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Problem 63689

Solve for yy: 3(4y1)=2(5y+12)3(4y - 1) = 2\left(5y + \frac{1}{2}\right). What is yy?

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Problem 63690

(a) Calculate the mean and median of offensive linemen weights: 329, 294, 311, 330, 312, 263, 326, 327, 301, 322, 259, 310. (b) Calculate the mean and median of defensive linemen weights: 252, 283, 308, 291, 295, 258, 319, 283, 308, 279, 282, 318. (c) Compare the weights of offensive and defensive linemen.

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Problem 63691

Rewrite the cost of the software product as an inequality: 235<x<370235 < x < 370.

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Problem 63692

Find the monthly cost for 75 minutes of calls if 55 mins costs \$13.63 and 91 mins costs \$17.95.

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Problem 63693

How many years does light take to travel 3.65×1083.65 \times 10^{8} miles if a light year is 5.87×10125.87 \times 10^{12} miles?

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Problem 63694

If AA and BB are independent with P(A)=0.60P(A)=0.60 and P(A AND B)=0.30P(A \text{ AND } B)=0.30, find P(B)P(B) as a percent.

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Problem 63695

What is the probability of rolling greater than 1 on a die and getting heads on a coin? Answer as a fraction.

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Problem 63696

A weight-lifting winner bench-pressed 400 lbs; others pressed at least 23 lbs less.
a. Write the inequality for others' weights: x377x \leq 377. b. Can someone bench-press 379 lbs? No, 379 lbs is not a solution.

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Problem 63697

Find the height from which a marble falls in 3 seconds using the formula s=16t2s=16 t^{2}. What is the height ss?

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Problem 63698

A forest area of 2700 km22700 \mathrm{~km}^{2} decreases by 3.75%3.75\% yearly. Find the area after 13 years, rounded to the nearest km.

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Problem 63699

Find the sums or differences for these fractions and mixed numbers: 1. 15+25\frac{1}{5}+\frac{2}{5}, 2. 8949\frac{8}{9}-\frac{4}{9}, 5. 38+16\frac{3}{8}+\frac{1}{6}, 6. 112+23\frac{1}{12}+\frac{2}{3}, 9. 512+2145 \frac{1}{2}+2 \frac{1}{4}, 10. 9310+4129 \frac{3}{10}+4 \frac{1}{2}, 3. 510310\frac{5}{10}-\frac{3}{10}, 4. 38+18\frac{3}{8}+\frac{1}{8}, 13. 3.04+2.8813.04+2.881, 14. 14.96.1814.9-6.18, 7. 3416\frac{3}{4}-\frac{1}{6}, 8. 51218\frac{5}{12}-\frac{1}{8}, 11. 7562127 \frac{5}{6}-2 \frac{1}{2}, 12. 73137-3 \frac{1}{3}, 17. How is adding fractions different from adding integers?

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Problem 63700

Find Revenue, Cost, and Profit for selling xx thousand items with price \3.00,fixedcost$143,185,andvariablecost3.00, fixed cost \$143,185, and variable cost -3x^{2}+3480x-100$.

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