Natural Numbers

Problem 1201

Identify the property shown: BK+KF=KE+FK BK + KF = KE + FK (options: multiplication, transitive, subtraction, reflexive, none).

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Problem 1202

A mud house has a cone roof over a cylinder. Given dimensions, find AB A B , volume, surface area, and house choice.

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Problem 1203

A lens creates a real image 249 cm 249 \mathrm{~cm} from the object and 123 1 \frac{2}{3} times its size. Find the focal length.

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Problem 1204

Find the focal length of a lens given an object height of 3.25 cm, distance to image 6 cm, and distance to lens 16 cm.

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Problem 1205

Calculate the sum: 500+300+200 500 + 300 + 200 .

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Problem 1206

Calculate the value of 85:143814\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}.

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Problem 1207

Draw a Venn diagram for 400 Grade 7 students: 200 play ML only, 85 play COD only, and 50 play neither.

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Problem 1208

Expand the expression (x5)(x+2)(x-5)(x+2).

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Problem 1209

Lulu had twice as many red buttons as green. After giving away 13\frac{1}{3} red and 45\frac{4}{5} green, she had 368 left. How many did she start with?

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Problem 1210

Represent the swim meet results of Danny, John, Kenny, and Sean in a matrix format based on their placements.

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Problem 1211

Solve the quadratic equation 12x225x=012x^{2} - 25x = 0.

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Problem 1212

Solve the equation: x216x+61=2x20x^{2}-16 x+61=2 x-20.

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Problem 1213

In a survey of 400 Grade 7 students, find how many play both ML \mathrm{ML} and COD \mathrm{COD} using a Venn diagram.

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Problem 1214

Convert the following Roman numerals to Arabic numerals: III, VII, XIV, XVI, XIX, XXI, XXIX, XXXV, XLIII, XLVII, LII, LIX.

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Problem 1215

Calculate 35:(0.2536):423-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}.

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Problem 1216

Find the volume of a cuboid with face areas 35 cm235 \mathrm{~cm}^{2}, 42 cm242 \mathrm{~cm}^{2}, and 14 cm214 \mathrm{~cm}^{2}.

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Problem 1217

Solve the equation x42x33x2=0x^{4}-2 x^{3}-3 x^{2}=0.

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Problem 1218

Find the ball's instantaneous velocity at t=10.0t=10.0 s given its position x(t)=0.000015t50.004t3+0.4tx(t)=0.000015 t^5 - 0.004 t^3 + 0.4 t.

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Problem 1219

A car takes 4 s to stop over 20 m. Can we find its speed before braking without knowing acceleration? Options: (A) Yes, 20 m/4 s20 \mathrm{~m} / 4 \mathrm{~s}. (B) Yes, double average speed. (C) No, need acceleration for Δx=v0t+12at2\Delta x=v_{0} t+\frac{1}{2} a t^{2}. (D) No, velocity definition includes acceleration.

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Problem 1220

Solve for xx in the equation 2+3=x2 + 3 = x.

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Problem 1221

Solve the equation: 4zz+1+5z=6z+5z2+2\frac{4 z}{z+1}+\frac{5}{z}=\frac{6 z+5}{z^{2}+2}.

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Problem 1222

Karan borrowed \$3,650 for 5 months at 10% interest. What is her monthly payment amount?

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Problem 1223

Find the limit: limxπcosx+sin(2x)+1x2π2\lim _{x \rightarrow \pi} \frac{\cos x+\sin (2 x)+1}{x^{2}-\pi^{2}}. What is it?

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Problem 1224

Identify the function: y=16xy=-16x. Is it a step, constant, absolute value, or direct variation function?

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Problem 1225

What is the difference between 20,400,000 and 2,400,000? Round the answer to the nearest hundred thousand.

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Problem 1226

Find the difference between 20,400,000 and 2,400,000, then round to the nearest hundred thousand.

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Problem 1227

How many cans of Coke are left after selling 862,456 from 2,564,546? Round to the nearest ten thousand.

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Problem 1228

Identify the property shown in 3x(y+2)=(y+2)3x3 x(y+2)=(y+2) 3 x: distributive, identity, commutative, or associative?

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Problem 1229

Medina dan Adi bermain catur. Medina menang 3 kali dan draw 2 kali. Apakah pernyataan berikut benar atau salah?
1. Skor Adi = 21
2. Skor Medina = 44
3. Total skor = 52

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Problem 1230

Calculate the total of sales volumes: 2,525 million, 4,716 million, 7,241 million, and 9,096 million.

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Problem 1231

Medina menang 3 kali dan draw 2 kali. Cek kebenaran pernyataan: Skor Adi 21, Skor Medina 44, Total skor 52.

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Problem 1232

Divide \$380000000 by 8 and round to the nearest ten thousand. What is the amount each person receives?

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Problem 1233

Calculate the inductance and capacitance per phase of a 40 km overhead line with copper conductors (1.5 cm diameter) in two spacings: 75 cm flat and triangular sides 70 cm, 90 cm, 110 cm.

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Problem 1234

Suhu udara pada ketinggian 3.600 m3.600 \mathrm{~m} jika suhu permukaan laut 27C27^{\circ} \mathrm{C} dan turun 0,5C0,5^{\circ} \mathrm{C} setiap 45 m.

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Problem 1235

Find series turns per pole for a compound generator to keep V=618 VV = 618 \mathrm{~V} with loads of 4 A4 \mathrm{~A} and 5.5 A5.5 \mathrm{~A}. Shunt turns: 2700.

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Problem 1236

Tentukan apakah pernyataan berikut benar atau salah berdasarkan sifat asosiatif: 13×7=7×1313 \times 7=7 \times 13, 9×(73)=(9×7)(9×3)9 \times(7-3)=(9 \times 7)-(9 \times 3), 3×(5×7)=(3×5)×73 \times(5 \times 7)=(3 \times 5) \times 7, [50+160]:4×(2)[-50+160]: 4 \times(-2).

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Problem 1237

\$380000000 was divided among 8 people. What is each person's share rounded to the nearest \$10000?

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Problem 1238

Which expression for yy comes from the system: 5x8y=175x - 8y = 17 and 8x3y=43-8x - 3y = -43?

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Problem 1239

Check if moments and forces are in equilibrium for a lever with a 30N pivot, 4N at 1m, and 7N at 3m.

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Problem 1240

Ibrahim dan Zahra datang ke mesjid setiap 4 dan 6 hari. Apakah mereka bersama lagi pada 12, 14, dan 26 Juli 2022?

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Problem 1241

Kelipatan persekutuan 6 dan 9 yang kurang dari 40 adalah 6,12,18,24,30,366, 12, 18, 24, 30, 36.

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Problem 1242

Find the roller reaction at point A of a symmetric fink roof truss with s=3ms = 3m, h=1.5mh = 1.5m, and a vertical load P=25kNP = 25kN.

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Problem 1243

Ibrahim dan Zahra datang bersama pada 2 Juli 2022. Kapan mereka akan bersama lagi? Tandai dengan \sqrt{ } pilihanmu!
1. 12 Juli 2022
2. 14 Juli 2022
3. 26 Juli 2022
4. 7 Agustus 2022

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Problem 1244

Given forces A=10.2kN,B=4.08kN,θ=30A=10.2 \mathrm{kN}, B=4.08 \mathrm{kN}, \theta=30^{\circ}, find angle β\beta and force CC for resultant 6.5kN6.5 \mathrm{kN}.

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Problem 1245

12. Hitung 7(5)+(2)×4=7-(-5)+(-2) \times 4=\ldots
13. Temukan nilai 64364+36\sqrt[3]{64}-\sqrt{64}+\sqrt{36} adalah .............

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Problem 1246

Find the force SS (in kN) so that P=35P = 35 kN, Q=45Q = 45 kN, and the resultant is 5555 kN to the right.

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Problem 1247

Di sebuah kota terdapat 300 bola plastik: 230 berwarna putih, 40 bola besar. Jumlah bola besar 80. Hitung bola kecil tidak kuning. A. 30

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Problem 1248

Calculate the cost of capital for Golden Fleece Financial using: debt \$300,000, yield 8\%, shares 10,000, price \$50, book value \$25, return 15\%.

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Problem 1249

What is the sum of the series 2345101-2-3-4-5-\cdots-101?

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Problem 1250

16. Dari 50 soal, Aminah jawab 48 dan dapat skor 100. Berapa soal yang dijawab benar jika skor benar 4, salah -2, tidak dijawab -1?
17. Aisyah menghitung jumlah halaman 98 halaman jadi 4.851, ada 1 halaman dihitung dua kali. Cari nomor halaman yang salah.

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Problem 1251

Federica ha 48 tulipani, 32 rose e 24 ciclamini. Quanti fiori ci sono in ogni mazzetto se ne fa 8?

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Problem 1252

Analyze a lever with a pivot force of 30N. Left: 4N at 1m, 7N at 4m. Right: 7N at 3m. Determine:
a) Are moments in equilibrium? b) Are forces in equilibrium? c) Is the lever in equilibrium?

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Problem 1253

Una pasticceria ha 12 confezioni di 6 uova e già 23 uova. Quante uova ha in totale? Calcola 12×6+2312 \times 6 + 23.

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Problem 1254

Calculate 17×5+317 \times 5 + 3.

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Problem 1255

Solve the equation a6=83a\frac{a}{6}=\frac{8}{3 a}.

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Problem 1256

Solve for xx in the equation 5x18=10x\frac{5 x}{18}=\frac{10}{x}.

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Problem 1257

Digite o número que falta na sequência: 1,2,,8,16,321, 2, \square, 8, 16, 32.

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Problem 1258

Analyze how a student could mistakenly choose each incorrect answer for the system of equations: x2y=2x - 2y = 2 and 2x+y=92x + y = 9.

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Problem 1259

Solve for bb in the equation 4bb=910\frac{4-b}{b}=\frac{9}{10}.

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Problem 1260

Simplify the expression (21×51)1÷41\left(2^{-1} \times 5^{-1}\right)^{-1} \div 4^{-1}.

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Problem 1261

Calculate 4%+8%4\% + 8\% and set it equal to (23)1\left(\frac{2}{3}\right)^{-1}. What is the value?

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Problem 1262

Evaluate: {[(3)/2]2}3\left\{[(-3) / 2]^{2}\right\}^{-3}

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Problem 1263

Evaluate: (2/7)4×(5/7)2(-2 / 7)^{-4} \times(-5 / 7)^{2}, (1/4)3×(1/4)2(-1 / 4)^{-3} \times(-1 / 4)^{-2}, and {[(3)/2]2}3\left\{[(-3) / 2]^{2}\right\}^{-3}.

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Problem 1264

Solve for nn in the equation n3n=23\frac{n}{3-n}=\frac{2}{3}.

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Problem 1265

A bullet of mass 0.0025 kg0.0025 \mathrm{~kg} penetrates a wooden block (0.15 m0.15 \mathrm{~m} thick) with a resisting force of 7.5×103 N7.5 \times 10^{3} \mathrm{~N}. Find its speed before hitting the block. Options: A. 450 ms1450 \mathrm{~ms}^{-1} B. 400 ms1400 \mathrm{~ms}^{-1} C. 300 ms1300 \mathrm{~ms}^{-1} D. 250 ms1250 \mathrm{~ms}^{-1}

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Problem 1266

Calculate the acceleration of a 3.0 kg3.0 \mathrm{~kg} particle under a 21.0 N21.0 \mathrm{~N} force with velocity-proportional resistance.

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Problem 1267

Solve the differential equation: xydx(x+2)dy=0x y \, dx - (x+2) \, dy = 0.

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Problem 1268

Find the equivalent expression for 9349^{\frac{3}{4}} from the options: A) 93\sqrt[3]{9} B) 94\sqrt[4]{9} C) 3\sqrt{3} D) 333 \sqrt{3}.

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Problem 1269

A car with mass 800 kg800 \mathrm{~kg} traveling at 20 ms120 \mathrm{~ms}^{-1} sees a dog 50 m50 \mathrm{~m} ahead. Can it stop?

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Problem 1270

Calculate 6206 * 20.

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Problem 1271

A rectangle has a length of 4 times its width and an area of 16. Find its perimeter. A. 8 B. 10 C. 20 D. 32

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Problem 1272

What percent is 400%400\% of a positive number aa of 400a400a? A. 0.1 B. 1 C. 10 D. 100

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Problem 1273

What is the market price of ¥ 2,000 stocks for 98 shares?

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Problem 1274

Niel earned a commission of \$30,000 on a sale of ¥100,000. What is his commission rate?

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Problem 1275

How many of the 28 tiles does Jenaro need to paint black if 14\frac{1}{4} must be black?

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Problem 1276

Glan Macapuno has 50 bonds worth ¥1,500.00¥ 1,500.00 each at 3.49%3.49\% interest. What is his annual income from them?

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Problem 1277

Find the sum of the perimeters of the four triangles formed by the diagonals of square ABCDA B C D. Choices: A. 2+222+2 \sqrt{2} B. 8+428+4 \sqrt{2} C. 8+828+8 \sqrt{2} D. 16

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Problem 1278

Find the value of xx where the function f(x)=(x10)(x+13)f(x)=(x-10)(x+13) reaches its minimum. A. -130 B. -13 C. 232-\frac{23}{2} D. 32-\frac{3}{2}

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Problem 1279

Ms. Mhurn Talagon bought 50 ACTS bonds. What is her total investment if the commission is \$155.00?

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Problem 1280

Find the present value of A=A= P 26,251 with an interest rate of i=8%i=8\% over n=13n=13 periods.

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Problem 1281

In Midas Corporation, with 95 shares at a selling price of \$170 and total expenses of \$780, find the net proceeds.

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Problem 1282

Calculate 6×Rm 910÷46 \times Rm\ 910 \div 4.

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Problem 1283

Намерете корена на уравнението 3224x=513556|3^{2}-2^{4}|-x=|5 \frac{1}{3}-5 \frac{5}{6}|. Изберете от A) 716-7 \frac{1}{6}, Б) 656-6 \frac{5}{6}, B) 6126 \frac{1}{2}, Г) 7167 \frac{1}{6}.

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Problem 1284

Намери xx от уравнението 3224x=513556\left|3^{2}-2^{4}\right|-x=\left|5 \frac{1}{3}-5 \frac{5}{6}\right|.

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Problem 1285

Ако 0,0240,0010,046=x10y\frac{0,024 \cdot 0,001}{0,04 \cdot 6}=x \cdot 10^{y}, намерете x+yx+y.

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Problem 1286

Solve the equations: 3x9=4x+53x - 9 = 4x + 5, 39=4x+53 - 9 = 4x + 5, 3x=4x+7+33x = 4x + 7 + 3.

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Problem 1287

Sergio tiene 4 cajas con 4 filas y 4 jarras por fila. ¿Cuántas jarras hay en total? 4×4×44 \times 4 \times 4

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Problem 1288

Find 'a' and 'b' in these expressions:
1) 33:3a:11\frac{\sqrt{3}}{3}: \frac{3}{\sqrt{a}}: \frac{1}{\sqrt{1}}
2) b5=18255b-\sqrt{5}=\frac{\sqrt{18}}{\sqrt{2}}-\frac{5}{\sqrt{5}}

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Problem 1289

Calculate (5(12)2+93438(14)2)231\frac{\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{2}}{3^{-1}}.

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Problem 1290

Съществува десетоъгълна призма с периметър на основата 30 cm30 \mathrm{~cm} и околен ръб 8 cm8 \mathrm{~cm}. Намерете сбора на ръбовете в см.

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Problem 1291

Calculate the expression: (5(12)2+93438(14)2)12\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}

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Problem 1292

Una finca rectangular de 187 m de largo y 87 m de ancho necesita cercarse. ¿Cuántos rollos de 200 m se requieren y su costo total?

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Problem 1293

Calculate the expression: 3[8+4(25)]-3 \cdot[8+4 \cdot(-2-5)]

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Problem 1294

Calculate (3545)÷1425\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}.

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Problem 1295

Il perimetro di un rettangolo è 51,8 cm51,8 \mathrm{~cm} e la lunghezza è 16,4 cm16,4 \mathrm{~cm}. Qual è la larghezza? R: 9,5 cm

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Problem 1296

Solve the equation: 12x=01 - 2x = 0.

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Problem 1297

Calcola il perimetro di un rombo con lato 10,5 cm10,5 \mathrm{~cm} e il perimetro di un parallelogramo con lati 160 cm160 \mathrm{~cm} e 13,9 dm13,9 \mathrm{~dm}.

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Problem 1298

Calculate the expression (7+4)[(9+2)(43)](-7+4)-[(-9+2)-(4-3)].

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Problem 1299

Solve the equation: 12x=0-1 - 2x = 0.

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Problem 1300

Calculate the expression (13)[(7)(9)+8(39)](-1-3) \cdot[(-7) \cdot(-9)+8 \cdot(3-9)].

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