Equation

Problem 10901

Solve for nn in the equation: 18=4n+53-18=-4 n+5-3.

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Problem 10902

Solve for nn: 18=4n+53-18=-4 n+5-3

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Problem 10903

Solve for kk in the equation: 395k=7(35k)-39 - 5k = 7(3 - 5k).

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Problem 10904

Calculate the total bill for 381638 \frac{1}{6} hours at a rate of \$60 per hour. What is the total?

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Problem 10905

Calculate the length of the segment between (2,2) and (5,-3) using the formula: d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

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Problem 10906

A driver can deliver how much stone today if a truck carries 5125 \frac{1}{2} tons and makes 6 deliveries?

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Problem 10907

Find the distance between points (2,3) and (5,-3). Use simplified radical form if necessary.

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Problem 10908

To clean dental instruments, if the water to disinfectant ratio is 2:3, how much water is needed for 9 parts disinfectant? A. 2 B. 3 C. 6 D. 8 E. 9

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Problem 10909

Calculate the total screws needed for 12 kitchen doors (2 screws each) and 6 bathroom doors (1 screw each). Choices: A. 8 B. 10 C. 18 D. 22 E. 30

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Problem 10910

Solve for mm in the equation: 7(6+4m)=8m+38-7(6+4 m)=-8 m+38.

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Problem 10911

Find the length of FGF G and the midpoint of EHE H if EH=30E H=30 and it's divided by FF and GG in the ratio 5:3:25:3:2.

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Problem 10912

A 36-inch pipe has a 14-inch piece cut from it. How much is left? F. 12 inches G. 18 inches H. 22 inches J. 32 inches K. 50 inches

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Problem 10913

Find xx if RS=x+8R S = x + 8, ST=2x6S T = 2x - 6, and RT=32R T = 32. Calculate RSR S and STS T.

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Problem 10914

A hospital patient owes \$550 and pays \$50 monthly. How much is left after 2 payments? A. \$50 B. \$100 C. \$400 D. \$450 E. \$500

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Problem 10915

Calculate the fencing needed for a 50 ft by 35 ft yard, minus 20 ft along the building. Options: A. 70 ft B. 85 ft C. 150 ft D. 170 ft E. 190 ft

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Problem 10916

Stock snacks for 96 passengers: 14\frac{1}{4} pretzels, 12\frac{1}{2} peanuts, 14\frac{1}{4} chips. How many pretzel bags?

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Problem 10917

What is the property value if annual net income is \$22,000 and capitalization rate is 8%? Options: \$275,000, \$176,000, \$200,000, \$183,000.

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Problem 10918

Find the equation for the function shaped like f(x)=x2f(x)=x^{2}, shifted 3 right and 7 down: g(x)=g(x)=

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Problem 10919

Calculate the total cost of a trip: airfare \$1,332, hotel \$1,500, car rental \$60/day for 7 days. Total?

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Problem 10920

You collected 340 surveys in March and 408 in April. If you enter 68 surveys daily, how many days to enter all?

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Problem 10921

Calculate the total cost of a trip: airfare \$1,332, hotel \$1,500, car rental \$60/day for 7 days. What is the total?

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Problem 10922

Find the equation for the function g(x)g(x), which is f(x)=x2f(x)=x^{2} shifted left 3, up 9, and reflected in the xx-axis.

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Problem 10923

A parcel of land is valued at \$274,550 assessed at 85% of market value. Find the market value.

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Problem 10924

Define the function g(x)g(x) based on the graph of f(x)=xf(x)=|x| shifted left 1 unit and down 9 units.

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Problem 10925

Write the equation for a function like f(x)=xf(x)=|x|, shifted left 1 and down 9.
g(x)= g(x)=

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Problem 10926

Borrowing \$20,000 at 10% simple interest for 2.5 years will require a payback of how much?

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Problem 10927

What sales price is needed for a 400,000400,000 property to achieve a 15%15\% net gain after a 6%6\% broker commission?

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Problem 10928

A salesperson sells 50 acres at \$900/acre with a 10% commission. What's the broker's share after a 60-40 split?

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Problem 10929

Calculate the total bill for a table with a ham sandwich, meatball hoagie, fries, iced tea, and lemonade.

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Problem 10930

You drive 1,820 miles for 36 hours, earning \$0.60 per mile. How much will you earn? Options: A. \$21.60 B. \$1,092.00 C. \$2,092.00 D. \$10,920.00 F. \$65,520.00

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Problem 10931

You wrote 20 tickets this month, twice as many for defacing property. What fraction of tickets were for defacing property? A. 130\frac{1}{30} B. 120\frac{1}{20} C. 110\frac{1}{10} D. 15\frac{1}{5}

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Problem 10932

A homeowner's insurance premium of \$730 covers one year from January 12. If sold on October 23, what is the proration amount? Options: \$162.00, \$568.00, \$164.25, \$565.75.

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Problem 10933

Calculate the current value of a property bought for \$100,000, with house cost \$65,000, land appreciating at 5\% yearly.

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Problem 10934

A homeowner sold their property on October 23. The insurance premium was \$730 for a year. What is the proration amount? \$162.00

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Problem 10935

How many times greater is a cat's current weight (8 pounds, 12 ounces) than its birth weight (3.5 ounces)?

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Problem 10936

A 40-acre tract sold for \$2,200 per acre. If profit was 14.5%, what was the original cost? Options: \$75,240, \$76,856, \$100,760, \$102,924.

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Problem 10937

A home with 4,320 sq ft on a \$145,000 lot has construction costs of \$80.25/sq ft and \$12,785 in fees. Find the total cost.

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Problem 10938

Mr. Madison has the SW 1/41/4 of the SW 1/41/4 of land worth \$240/acre. What's its total value? \$9,600 or \$3,840?

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Problem 10939

Calculate the total cost to build a 6.5 ft high fence around a 90×17590' \times 175' lot at \$1.25/ft and \$0.825/ft².

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Problem 10940

A seller got \$321,480 after a 6% broker's fee. What was the sale price: \$342,000 or \$345,000?

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Problem 10941

A seller got \$ 321,480 after a 6% broker fee. What was the sale price? Options: \$ 342,000, \$ 345,000, \$ 340,000, \$ 341,000.

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Problem 10942

How many points does a \$ 1,875 discount on a \$ 75,000 mortgage represent? Options: 2.5, 2, 4.5, 5.

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Problem 10943

Find the current value of a building with a replacement cost of \$560,000, 40 years life, and 30 years remaining. Options: \$420,000, \$140,000, \$392,000, \$560,000.

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Problem 10944

An account earns 7%7\% simple interest. If it has \$950 in year 1, how much will it have in year 6?

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Problem 10945

Nia invests \3100at23100 at 2% annual interest. Find her account balance in year 4 using A(n)=3100(1+0.02)^{n-1}$. Round to nearest dollar.

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Problem 10946

Find the zeros of the function f(x)=x212f(x)=x^{2}-12 using the square root method. What are the xx-intercepts?

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Problem 10947

Katy gives 14 water balloons to each team, totaling 70 balloons. Find the equation for teams tt:
14t=70 14t = 70
Solve for tt.

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Problem 10948

Find the number of solutions for the equation: 913u+8u=5u69 - 13u + 8u = -5u - 6. Options: no solution, one solution, infinitely many solutions.

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Problem 10949

Find the number of solutions for the equation: 20k1813=7(4k+15)-20 k-18-13=7(-4 k+15). Options: no solution, one solution, infinitely many solutions.

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Problem 10950

Determine the number of solutions for the equation: 12m+18=3(4m+6)-12 m + 18 = 3(-4 m + 6). Options: no solution, one solution, infinitely many solutions.

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Problem 10951

Find the width and length of a window by solving A(x)=x(x+4)=221A(x) = x(x+4) = 221. Simplify your answers.

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Problem 10952

Find the side length of a square sheet metal to make a box with volume 16 cubic feet from V(x)=(x2)2V(x)=(x-2)^{2}.

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Problem 10953

Find when the ball hits the ground and when it passes the building using S(t)=64+48t16t2S(t)=64+48t-16t^2.

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Problem 10954

Saddleback Company paid off \$39,000 in accounts payable. What are the effects on the accounting equation?

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Problem 10955

How many 14-ounce bags can be made from 42 pounds of coffee? Options: A. 3 B. 18 C. 28 D. 48 E. 56

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Problem 10956

Find the liabilities given cash: \$29,000, accounts receivable: \$35,000, equipment: \$60,000, and equity: \$77,000.

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Problem 10957

How many 4-inch tiles fit in a 16-foot, 8-inch room width? Options: A. 44 B. 50 C. 66 D. 100 I. 200

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Problem 10959

Find the volume difference between a 30 quart feeder and a 6 gallon feeder. Options: 1121 \frac{1}{2}, 5, 6, 7127 \frac{1}{2}, 24 quarts.

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Problem 10960

Calculate the total cost to pave a 2-mile, 20-foot-wide road at \$23.35 per linear foot.

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Problem 10961

Calculate the total cost to pave a 2-mile, 20-foot-wide road at \$23.35 per linear foot.

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Problem 10962

Find the angle CC if tanC=0.1405\tan C=0.1405.

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Problem 10963

Find angle CC in a right triangle where tanC=0.1405\tan C=0.1405. Round to the nearest degree.

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Problem 10964

How many minutes of paperwork does a nurse spend per patient if they spend 2122 \frac{1}{2} hours on paperwork for 6 patients?

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Problem 10965

How much glucose is needed for 2 kg of a 5%5\% glucose solution? Options: 25g, 50g, 75g, 100g, 200g.

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Problem 10966

You ordered 10 quarts of juice but received 10 gallons. How much more did you get? A. 20 quarts B. 25 quarts C. 30 quarts D. 36 quarts E. 40 quarts

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Problem 10967

How many 12 oz mugs can be filled with 1.5 gallons of coffee? Options: A. 2 B. 12 C. 15 D. 16 E. 24

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Problem 10968

How many bags of fertilizer (1 bag per 3,600 sq ft) are needed for a 3-acre park? A. 12 B. 18 C. 30 D. 37 E. 1,200

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Problem 10969

Identify the property shown in the equation: 145=451 \cdot \frac{4}{5} = \frac{4}{5}.

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Problem 10970

You need 8 tons of straw for a project. Each bale weighs 800 pounds. How many bales do you need?

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Problem 10971

Calculate the following:
1) 78.08molL×40L=mol78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}
2) 0.93molL×2.025L=mol0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}
3) 599.25m÷42.528s=ms599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 10972

Find the intersection points of the quadratics f(x)=x2+2x8f(x) = x^{2}+2x-8 and g(x)=x22x4g(x) = x^{2}-2x-4.

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Problem 10973

Find xx for these equations: a) x27=14\frac{x}{2}-7=14 b) 6x8+3=7\frac{6 x}{8}+3=-7 c) 8x+4=9.10×102\frac{8}{x}+4=9.10 \times 10^{-2} d) 34x1.5=2.70×103\frac{3}{4 x}-1.5=2.70 \times 10^{3}.

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Problem 10974

Calculate the cost difference per foot between Sticky tape at \$2.25 for 5 yards and Tacky tape at \$3.90 for 5 yards.

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Problem 10975

Calculate the following: 15.707 g - 1.47 g, 6.727 g + 1.40 g, and 8.87 g - 0.600 g.

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Problem 10976

Solve the equation: 6x8+3=7\frac{6 x}{8}+3=-7.

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Problem 10977

Calculate the following: 8.627 mL + 1.77 mL = ?, 2.900 mL + 18.8 mL = ?, 15.82 mL - 0.577 mL = ?

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Problem 10978

Find the distance between the points (1,4)(-1,4) and (1,1)(1,-1). Round to the nearest tenth.

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Problem 10979

Solve for xx in the equation: 1245(x+15)=412-\frac{4}{5}(x+15)=4.

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Problem 10980

Calculate the following: 15.527 g - 1.5 g = \square g, 13.900 g + 0.87 g = \square g, 1.920 g - 0.8 g = \square g.

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Problem 10981

Find the side length ss and height hh of an equilateral triangle made with 2-inch toothpicks: h=32sh = \frac{\sqrt{3}}{2} s.

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Problem 10982

Calculate the following: 15.700 mL13.80 mL=mL15.700 \mathrm{~mL}-13.80 \mathrm{~mL}=\square \mathrm{mL}, 8.70 mL+17.6 mL=mL8.70 \mathrm{~mL}+17.6 \mathrm{~mL}=\square \mathrm{mL}, 16.920 mL+0.5 mL=mL16.920 \mathrm{~mL}+0.5 \mathrm{~mL}=\square \mathrm{mL}.

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Problem 10983

Calculate the monthly deposit needed to reach \$85,000 in 18 years with a 6% APR.

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Problem 10984

Solve for hh in the equation: 25h7=125h2h+3\frac{2}{5} h - 7 = \frac{12}{5} h - 2h + 3.

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Problem 10985

Solve the equation t+1+1t=0t + 1 + \frac{1}{t} = 0 and express solutions as a+bia + bi.

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Problem 10986

Calculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

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Problem 10987

Solve the equation x2+3x+8=0x^{2}+3 x+8=0 and express solutions as a+bia+b i.

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Problem 10988

Solve for qq: 5(3q)+4=5q11-5(3-q)+4=5q-11.

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Problem 10989

Find the number of water bottles Mr. Ken's class had on day 2 and day 4, given they started with 17 and collected consistently.

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Problem 10990

Find angles P\angle P and Q\angle Q where mP=2mQ3m \angle P = 2m \angle Q - 3 and they sum to 180°. Also, find angles B\angle B and C\angle C where mB=3mC+2m \angle B = 3m \angle C + 2 and they are complementary.

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Problem 10991

Find angles BB and CC if mB=3mC+2m \angle B = 3m \angle C + 2 and they are complementary.

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Problem 10992

Find the measures of angles K and L if they are complementary: mK=3x+3m \angle K=3x+3 and mL=10x4m \angle L=10x-4.

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Problem 10993

Find m2m \angle 2 if 1\angle 1 and 2\angle 2 are vertical angles with m1=17x+1m \angle 1=17 x+1 and m2=20x14m \angle 2=20 x-14.

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Problem 10994

The weight of 6 pieces of butter and a bag of sugar is 3.8lb3.8 \mathrm{lb}. If the sugar weighs 1.4lb1.4 \mathrm{lb}, find the weight of each butter piece.

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Problem 10995

Joelle has \15.75andspent$6.38.Whatequationrepresentsherremainingmoney,15.75 and spent \$6.38. What equation represents her remaining money, x$?

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Problem 10996

Find real values of xx for the following: a. x=6\sqrt{x}=6, b. x=6\sqrt{x}=-6, c. x=6\sqrt{-x}=-6, d. x>0\sqrt{x}>0, e. x=6\sqrt{-x}=6, f. x<0\sqrt{x}<0.

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Problem 10997

Determine the true statement for x=5x=-5: x2+10x^{2}+10, x+x+xx+x+x are equal, or one is greater than the other.

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Problem 10998

Fred's class has xx students. Lee's class has 1.4x1.4x students. If x+1.4x=48x + 1.4x = 48, find xx and then 1.4x1.4x.

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Problem 10999

Calculate the area and perimeter of a rectangle with length 3161003\frac{16}{100} in and width 38\frac{3}{8} in.

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Problem 11000

Add or subtract these measurements, ensuring the correct significant digits:
8.700 g + 1.37 g = \square g 16.600 g - 0.70 g = \square g 7.827 g - 1.2 g = \square g

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