Equation

Problem 12701

Solve 8v+16=128v + 16 = -12. Provide the answer as an integer, simplified fraction, or rounded to two decimal places.

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Problem 12702

Find the tickets sold per hour if 50,000 tickets sold out in 2 hours using 50,0002x=050,000 - 2x = 0.

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Problem 12703

Find the other trigonometric functions of θ\theta if sinθ=37\sin \theta=-\frac{\sqrt{3}}{7} in quadrant III. What is cosθ\cos \theta?

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Problem 12704

Find the remaining trigonometric functions of θ\theta if sinθ=37\sin \theta=-\frac{\sqrt{3}}{7} in quadrant III.

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Problem 12705

Find yy in terms of xx from the equation x+2y=3-x + 2y = 3.

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Problem 12706

Simone wants 15 tickets. How much more will she spend buying 3-ticket packs at $6.25\$ 6.25 each instead of 5-ticket packs at $8.75\$ 8.75?

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Problem 12707

If Bus A takes 22 minutes and Bus B takes 15 minutes, when will they arrive together after leaving at 8:30 a.m.?

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Problem 12708

Find the values of the trigonometric functions for θ\theta where cotθ=56\cot \theta=\frac{\sqrt{5}}{6} in quadrant III.

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Problem 12709

If a group plays 4 games, how much more do they spend buying individually at \$4.40 each vs. 2-game packs at \$8.40?

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Problem 12710

Find all trigonometric functions of θ\theta if secθ=8\sec \theta = -8 and sinθ>0\sin \theta > 0. What is sinθ\sin \theta?

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Problem 12711

Find the values of the trigonometric functions given that sinθ=1\sin \theta=1. What is cosθ\cos \theta? A. cosθ=\cos \theta= B. Undefined.

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Problem 12712

Classify the equation 3(x2)=4(72x)+11x3(x-2)=4(7-2 x)+11 x as conditional, identity, or contradiction.

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Problem 12713

Classify the equation 4(x6)+5x=5x+4(x6)4(x-6)+5x=5x+4(x-6) as conditional, identity, or contradiction.

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Problem 12714

If a group plays 4 games, how much more do they spend buying single games at \$4.40 each vs. 2-game packs at \$8.40?

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Problem 12715

Solve the equation y1.7y+2.1=1.4(y+4.5)y - 1.7 y + 2.1 = 1.4(y + 4.5) and simplify to an integer, fraction, or decimal (2 decimal places).

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Problem 12716

Solve the equation 7(3x5)=3(x+2)197(3x-5)=3(x+2)-19 and express the answer as an integer, simplified fraction, or decimal (2 decimal places).

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Problem 12717

Solve the equation 1.8(z18)=1.8(z1.5)-1.8(z-18)=1.8(z-1.5) and express the answer as an integer, fraction, or decimal (2 decimal places).

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Problem 12718

Solve the equation 3v3=4v+83v - 3 = 4v + 8 for vv and express your answer as an integer or simplified fraction.

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Problem 12719

Solve the equation 4(4x5)=5(x+6)+34(4x-5)=5(x+6)+3 and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 12720

Solve the equation 23(x+15)=18(x+25)-\frac{2}{3}\left(x+\frac{1}{5}\right)=-\frac{1}{8}\left(x+\frac{2}{5}\right) and simplify.

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Problem 12721

Solve the equation 19(z+3)=23(z23)-\frac{1}{9}(z+3)=-\frac{2}{3}\left(z-\frac{2}{3}\right) and simplify to an integer, fraction, or decimal.

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Problem 12722

Solve for yy in the equation 3y9=4y13y - 9 = 4y - 1 and express your answer as an integer or simplified fraction.

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Problem 12723

Solve the equation 18(z3)=12(z+12)\frac{1}{8}(z-3)=\frac{1}{2}\left(z+\frac{1}{2}\right) and simplify to an integer, fraction, or decimal.

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Problem 12724

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: Cl2+NaBrNaCl+Br2Cl_2 + NaBr \rightarrow NaCl + Br_2.

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Problem 12725

Find the zz-score for a person who spent \$710, given an average cost of \$890 and a standard deviation of \$250.

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Problem 12726

Find Jenna's score value if she got 85, and Jacob's z-score if he got 65, given average 78 and SD 7.

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Problem 12727

Find the amount spent if the zz score is 1.2, average is \$890, and standard deviation is \$250.

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Problem 12728

Balance the equation for the decomposition of solid potassium hydroxide (KOH)(\mathrm{KOH}) into solid potassium oxide and water.

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Problem 12729

Calculate the weighted mean depression levels: Group 1 μ1=15\mu_{1}=15, Group 2 μ2=11\mu_{2}=11. Then for alcohol: Group 1 μ1=16\mu_{1}=16, Group 2 μ2=18\mu_{2}=18. Round to one decimal place. μ=\mu=

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Problem 12730

What score did Jackie get if her zz-score is 1.14, given the test average is 78%78\% and standard deviation is 7?

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Problem 12731

On April 1, 2024, Oakland Corp lends \$490,000 at 10% for 12 months. Record the loan, interest adjustment, and cash collection.

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Problem 12732

Write the balanced net equation for synthesizing phosphoric acid from P, O, and H₂O using the reactions provided.

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Problem 12733

Balance the chemical equation for the decomposition of solid potassium hydroxide (KOH) into solid potassium oxide and water vapor.

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Problem 12734

Find xx given that BC=2x17BC = 2x - 17, AC=19AC = 19, and AB=2x12AB = 2x - 12.

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Problem 12735

Find the zz score for a classmate who is 67 inches tall, given an average height of 63 inches and a standard deviation of 5.

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Problem 12736

How many cm does the map use to show 1 km if the scale is 0.3:150.3: \frac{1}{5}? A 23\frac{2}{3} B 35\frac{3}{5} C 0.06 D 1.5

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Problem 12737

A farmer has 140 bushels of apples and sells 155815 \frac{5}{8} bushels daily. What is the change after 5 days?

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Problem 12738

Physicians' Hospital has A/R \$54,000 and allowance \$1,100. Uncollectibles are estimated at 15%. Find entries and net A/R.

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Problem 12739

Physicians' Hospital has \$54,000 in A/R and \$1,100 in allowance. Uncollectibles are estimated at 15%. Find adjustments and net A/R.

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Problem 12740

Graph the equation 2x+2y=4-2x + 2y = -4 using its intercepts.

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Problem 12741

Estimate uncollectible receivables for a Physical Therapy Center, record the adjustment, and calculate net accounts receivable.

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Problem 12742

Ascension Hospital's A/R is \$64,000, with an allowance of \$1,400. Estimate uncollectibles, record the adjustment, and find net A/R.

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Problem 12743

Brett and Kenny earn different hourly rates. Use the equation 75+10h=12.5h75 + 10h = 12.5h to find hours hh they need to work to earn the same. How many hours? Simplify.

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Problem 12744

Ann spent half as much time building a shed on Sunday as Saturday and 2 hours organizing tools. Find hh, hours on Saturday.
Which equation to solve for hh? h=12h+2 h=\frac{1}{2} h+2 h+2=12h h+2=\frac{1}{2} h
How many hours did Ann spend building on Saturday? Simplify any fractions. hours

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Problem 12745

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find ww when Carlos matches Jeanette's pages:
48+4w=10w 48 + 4w = 10w
How many weeks until Carlos equals Jeanette's pages?

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Problem 12746

If PP is invested at 5%5\% interest compounded continuously, how long until the account is worth 2P2P?

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Problem 12747

Monica knits 10 inches/day after 16 inches; Sean knits 14 inches/day. Find dd for equal lengths: 16+10d=14d16 + 10d = 14d. How many days?

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Problem 12748

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find dd when William matches Scott's pages.
150+10d=66+22d150+22d=66+10d 150+10d=66+22d \quad 150+22d=66+10d
How many days until William matches Scott?

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Problem 12749

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find dd such that 150+10d=66+22d150 + 10d = 66 + 22d. How many days until William catches up?

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Problem 12750

Audrey invested \$10,000 in a 3-year CD at 10\% annual interest, compounded annually. Find its value after 3 years.

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Problem 12751

A TV priced at \$869 is on sale for 35% off. What is the sale price?

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Problem 12752

Ava swims 70 yards in 2 minutes. How far can she swim in 5 minutes? Calculate: d=70 yards2 min×5 mind = \frac{70 \text{ yards}}{2 \text{ min}} \times 5 \text{ min}.

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Problem 12753

Sofía needs chairs for her quinceañera. If the ratio of chairs to tables is 6:16:1, how many chairs for 18 tables?

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Problem 12754

Solve the equation 42x+7=164|2 x+7|=16.

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Problem 12755

Solve for xx in the equation x2+5=9|x-2|+5=9.

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Problem 12756

Crystal Tunes has 7.2M subscribers gaining 1.7M/month. Mad Musik has 26.8M losing 1.1M/month. When will they equal subscribers? months

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Problem 12757

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: h=dsh = \frac{d}{s}.

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Problem 12758

Max's soda stand costs: bottles at \$0.32, ingredients at \$0.10, and a \$54 sealer. How many bottles must he sell at \$1.50?

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Problem 12759

Ann spends \$89 on software and \$394 on ads. Each art costs \$14 to make and sells for \$35. How many must she sell?

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Problem 12760

Owen and Jamie spent the same total. Owen spent \$13 on food and played 6 games; Jamie spent \$8.50 on food and played 9 games. Find the price of each game.

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Problem 12761

Owen and Jamie spent the same amount. Owen spent \$13 on food and 6 games, Jamie \$8.50 on food and 9 games. Find game price.

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Problem 12762

Find a two-digit number whose digits reversed decreases its value by 27, and the sum of its digits is 7.

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Problem 12763

Zack spent the same total on parking and shopping each day. Find the per-minute parking cost if he parked 68 mins for \$34 and 143 mins for \$31.

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Problem 12764

Amelia made 12 flowers and makes 10/hour. Colette makes 14/hour. When will they have the same total? Find hours.

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Problem 12765

Find the fence length where costs are equal: 20x+210=27.50x20x + 210 = 27.50x. Simplify to find xx in feet.

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Problem 12766

After how many months will Bob's old internet (655065 - 50) equal the new provider's (150+40×150 + 40 \times months)?

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Problem 12767

Derive the fractional flow equation:
fw=1+0.001127krow (Sw)kAμoqt[pcowl0.433(γwγo)sin(θ)]1+(μwμo)[krow(Sw)krw(Sw)] f_{w}=\frac{1+\frac{0.001127 \cdot k_{\text {row }}\left(S_{w}\right) \cdot k \cdot A}{\mu_{o} q_{t}}\left[\frac{\partial p_{c o w}}{\partial l}-0.433\left(\gamma_{w}-\gamma_{o}\right) \sin (\theta)\right]}{1+\left(\frac{\mu_{w}}{\mu_{o}}\right)\left[\frac{k_{r o w}\left(S_{w}\right)}{k_{r w}\left(S_{w}\right)}\right]}
Show all steps.

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Problem 12768

Redefine 9=19=1 to find when this equation holds true.

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Problem 12769

Factor the quadratic equation x2+8x+7x^{2}+8x+7.

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Problem 12770

Graph the line represented by the equation x=2x=-2.

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Problem 12771

What was the original price of an item if its sale price is \$82.46 after a reduction of \$5.26?

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Problem 12772

The item was originally priced at \$19.42 and reduced by \$1.15. What is the new price?

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Problem 12773

Compare the perimeters of a pentagon with sides of 6 inches and a hexagon with sides of 5 inches. Show your work.

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Problem 12774

Find the map length for 43mi43 \mathrm{mi} if the scale is 1in:35mi1 \mathrm{in} : 35 \mathrm{mi}.

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Problem 12775

Find the mass percent of K2SO4\mathrm{K}_{2} \mathrm{SO}_{4} in a mixture that is 45.85%SO445.85\% \mathrm{SO}_{4} by mass.

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Problem 12776

Solve x2+y2=81x^{2}+y^{2}=81 for yy. Find the positive and negative functions: y1=y_{1}=\square, y2=y_{2}=\square.

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Problem 12777

A cube's volume increases at 312 cm3 s13 \frac{1}{2} \mathrm{~cm}^{3} \mathrm{~s}^{-1}. Find the base's change rate when length is 6 cm6 \mathrm{~cm}.

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Problem 12778

Fill in the missing values for the equations based on initial values, growth/decay type, and rates in the table.

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Problem 12779

Norman bought 56\frac{5}{6} pound of cookies and ate 35\frac{3}{5} of them. What weight did he eat?

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Problem 12780

How many cups of muffin mix are needed for 12 servings if one serving uses 23\frac{2}{3} cup?

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Problem 12781

A farmer bought 78\frac{7}{8} ton of grain and fed 16\frac{1}{6} ton. How much grain remains? Options: 1324\frac{13}{24}, 712\frac{7}{12}, 1724\frac{17}{24}, 3148\frac{31}{48}.

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Problem 12782

Tanya has 1112\frac{11}{12} ft of red ribbon and 56\frac{5}{6} ft of blue ribbon. How much ribbon in total does she use?

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Problem 12783

Find the intercepts of the equation x+3y=3-x + 3y = -3. What are the xx and yy intercepts?

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Problem 12784

Solve the equation 7x245x28=07 x^{2}-45 x-28 = 0 by factoring for the value of xx.

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Problem 12785

Find the number xx such that x4=5x - 4 = 5.

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Problem 12786

Find the intercepts of the equation 3x+6y=18-3x + 6y = -18. What are the x-intercept and y-intercept?

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Problem 12787

Find the line equation in slope-intercept form through (2,8)(2,8) with slope m=3m=3.

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Problem 12788

Solve for xx: 3x+5=3x53 x + 5 = 3 x - 5.

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Problem 12789

Calculate the distance between the points (2,5)(2,5) and (2,1)(-2,-1).

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Problem 12790

Evaluate the equation y=3x+2y=-3x+2 for x=4,2,1,4x=-4, -2, -1, 4. What are the corresponding yy values?

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Problem 12791

Solve the equation 3x4y=83x - 4y = -8 for yy when x=4,0,4x = -4, 0, 4.

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Problem 12792

Find point BB if the midpoint of ABAB is (1,5)(1,-5) and A=(6,2)A=(6,2). What are the coordinates of BB?

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Problem 12793

Find the intercepts of the line y=4x+4y=-4x+4. Provide answers as points (x,y)(x, y) for both intercepts.

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Problem 12794

Your friend pays 4 pennies for the first dog grooming job and quadruples it each time. Find the payment after the 9th job: y=44(n1)y = 4 \cdot 4^{(n-1)} for n=9n=9.

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Problem 12795

Find the intercepts of y=4x+4y=-4x+4. Provide answers as points (x,y)(x, y). What is the xx-intercept?

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Problem 12796

Calculate the payment for cutting the 15th lawn if you earn 2 pennies for the first job and double it each time. t=2214t = 2 \cdot 2^{14}

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Problem 12797

Find ordered pairs (x,y)(x, y) that satisfy 8x+2y=248x + 2y = 24. Create a table to display them.

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Problem 12798

For the equation y=13x+3y=\frac{1}{3} x+3, find yy values for x=0,3,3,6,6x = 0, 3, -3, 6, -6.

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Problem 12799

One sixth of 48 crayons are broken. How many crayons are broken? (70)

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Problem 12800

If tanθ+tan3θ1tanθtan30+1=0\frac{\tan \theta+\tan 3 \theta}{1-\tan \theta \tan 30}+1=0, find tanθ\tan \theta in surd form.

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