Numbers & Operations

Problem 7201

Create a number under 500,000 with a 2 in the thousands' place. Write it in standard form and expanded form.

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Problem 7202

Create a number over 200,000 with a 6 in the tenthousands place. Show standard and expanded forms.

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Problem 7203

Create a number under 500,000 with a 2 in the thousands place. Show it in standard and expanded form.

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Problem 7204

Tran pays \84forgasanddrives84 for gas and drives m$ miles.
a) Find the cost per mile. b) What does "per" mean? c) Test with m=200m = 200. Does it make sense?

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Problem 7205

Convert these to percentages: 5.45, 190.8, 56\frac{5}{6}, 38\frac{3}{8}, 18\frac{1}{8}, 45\frac{4}{5}.

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Problem 7206

Convert these percents to decimals: a. 39%39 \%, b. 45%\frac{4}{5} \%, c. 1523%15 \frac{2}{3} \%, d. 23%\frac{2}{3} \%.

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Problem 7207

Convert these percents to decimals: a. 27%27 \%, b. 25%\frac{2}{5} \%, c. 1623%16 \frac{2}{3} \%, d. 13%\frac{1}{3} \%.

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Problem 7208

Identify the irrational numbers from the following: a. 53\sqrt{53}, b. 49\sqrt{49}, c. 256\sqrt{256}, d. 245\sqrt{245}, e. 2332-3 \sqrt{3}, f. 35\sqrt{3} \cdot 5. Choose all that apply.

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Problem 7209

What is 91÷591 \div 5?

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Problem 7210

Compare 12|-12| and 8|8|. Which is true: 12<8|-12|<|8|, 12>8|-12|>|8|, or 12=8|-12|=|8|?

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Problem 7211

Add or subtract these measurements, ensuring the correct significant digits:
8.70 mL - 7.8 mL = \square mL 17.570 mL + 18.8 mL = \square mL 11.9 mL + 13.577 mL = \square mL

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Problem 7212

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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Problem 7213

Calculate the following volumes: 1) 7.57 mL+11.7 mL=mL7.57 \mathrm{~mL} + 11.7 \mathrm{~mL} = \square \mathrm{mL} 2) 19.5 mL+9.977 mL=mL19.5 \mathrm{~mL} + 9.977 \mathrm{~mL} = \square \mathrm{mL} 3) 17.500 mL9.8 mL=mL17.500 \mathrm{~mL} - 9.8 \mathrm{~mL} = \square \mathrm{mL}

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Problem 7214

Perform the following calculations with correct significant digits:
1. 2.800 g1.47 g=g2.800 \mathrm{~g}-1.47 \mathrm{~g}=\square \mathrm{g}
2. 1.700 g0.57 g=g1.700 \mathrm{~g}-0.57 \mathrm{~g}=\square \mathrm{g}
3. 14.700 g+1.3 g=g14.700 \mathrm{~g}+1.3 \mathrm{~g}=\square \mathrm{g}

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Problem 7215

Calculate: 20.94 g/mL × 33 mL = ? g and 496.3 m ÷ 0.90 s = ? m/s.

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Problem 7216

Multiply or divide these measurements, ensuring correct significant digits:
1. 2.094 cm×1.10 cm=cm22.094 \mathrm{~cm} \times 1.10 \mathrm{~cm} = \square \mathrm{cm}^{2}
2. 20.94gmL×33mL=g20.94 \frac{\mathrm{g}}{\mathrm{mL}} \times 33 \mathrm{mL} = \square \mathrm{g}
3. 496.3 m÷0.90 s=ms496.3 \mathrm{~m} \div 0.90 \mathrm{~s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 7217

Calculate: 405.36 g ÷ 0.57 mL = \square g/mL; 7.808 g/mL × 0.6 mL = \square g; 269.58 g ÷ 0.86 mL = \square g/mL.

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Problem 7218

Calculate the following: 78.08 cm × 50 cm = \square cm², 792.4 g ÷ 43.37 mL = \square g/mL, 0.93 g/mL × 4.925 mL = \square g.

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Problem 7219

Convert Janet's weight of 115 lbs to kg. Show your work. (5 pts)

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Problem 7220

Convert 5.0 miles/hour to meters/second. Show your work and express your answer as a decimal number. (6 pts)

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Problem 7221

Multiply or divide these measurements with correct significant digits:
1. 7.81molL×4.525 L=mol7.81 \frac{\mathrm{mol}}{\mathrm{L}} \times 4.525 \mathrm{~L}=\square \mathrm{mol}
2. 215.0 mol÷0.85 L=molL215.0 \mathrm{~mol} \div 0.85 \mathrm{~L}=\square \frac{\mathrm{mol}}{\mathrm{L}}
3. 578.36 m÷0.41 s=ms578.36 \mathrm{~m} \div 0.41 \mathrm{~s}=\square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 7222

Convert fingernail growth of 2.50 cm/year to km/s. Show work and express answer in scientific notation. (6 pts)

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Problem 7223

Janet's baby weighs 15.0 lbs. How much Amoxicillin (in mg) is needed daily at 30.0 mg/kg? Show all calculations.

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Problem 7224

Janet's baby weighs 15.0lbs15.0 \, \text{lbs}. How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for 30mg/kg30 \, \text{mg/kg}?

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Problem 7225

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to 2.40 g2.40 \mathrm{~g} and salt has 39.33 g39.33 \mathrm{~g} sodium/100g?

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Problem 7226

Calculate the IV rate in mL/hr for Janet (115 lbs) if the dose is 2.0μg/kg/min2.0 \mu \mathrm{g} / \mathrm{kg/min} and the bag is 250mg/250mL250 \mathrm{mg} / 250 \mathrm{mL}.

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Problem 7227

Calculate the following with correct significant digits:
1. 405.36 g÷0.57 mL=gmL405.36 \mathrm{~g} \div 0.57 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}
2. 7.808gmL×0.6 mL=g7.808 \frac{\mathrm{g}}{\mathrm{mL}} \times 0.6 \mathrm{~mL} = \square \mathrm{g}
3. 269.58 g÷0.86 mL=gmL269.58 \mathrm{~g} \div 0.86 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}

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Problem 7228

Add using a number line: Show 4+(5)-4 + (-5) with two arrows.

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Problem 7229

Divide and multiply these measurements, ensuring correct significant digits:
173.39 mol ÷ 0.61 L = \square mol/L 7.8084 mol/L × 2.3 L = \square mol 714.4 m ÷ 39.05 s = \square m/s

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Problem 7230

Multiply or divide these measurements, ensuring correct significant digits:
2.09molL×4.60 L=mol2.09 \frac{\mathrm{mol}}{\mathrm{L}} \times 4.60 \mathrm{~L}=\square \mathrm{mol},
20.9 cm×22 cm=cm220.9 \mathrm{~cm} \times 22 \mathrm{~cm}=\square \mathrm{cm}^{2},
137.1 g÷0.43 mL=gmL137.1 \mathrm{~g} \div 0.43 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{mL}}.

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Problem 7231

Divide or multiply these measurements, ensuring correct significant digits:
213.30 mol ÷ 85.1 L = \square mol/L 7.808 mol/L × 3.1 L = \square mol 248.6 mol ÷ 0.46 L = \square mol/L

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Problem 7232

Multiply or divide these measurements with proper significant digits:
1. 20.947gmL×32mL=g20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 32 \mathrm{mL} = \square \mathrm{g}
2. 914.4g÷0.65mL=gmL914.4 \mathrm{g} \div 0.65 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}
3. 0.934cm×1.125cm=cm20.934 \mathrm{cm} \times 1.125 \mathrm{cm} = \square \mathrm{cm}^{2}

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Problem 7233

Identify the types of number for 5: rational, whole, natural, integer. Select all that apply or "only" if one is correct.

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Problem 7234

Fill in the blank: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an ______ number.

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Problem 7235

Is 7264 divisible by 2? (Answer: Yes or No)

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Problem 7236

Is 7264 divisible by 3, 4, or 5? Answer with Yes or No for each.

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Problem 7237

Check if 7264 is divisible by 2 and 3. Answers: a. Yes/No, b. Yes/No.

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Problem 7238

Check if 7264 is divisible by 2, 3, and 4. Answers: a. Yes/No, b. Yes/No, c. Yes/No.

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Problem 7239

Find the cube root of 216216. Provide your answer as a number, e.g., 42.

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Problem 7240

Is 7264 divisible by 5, 6, or 8? Answer for each: 5 - Yes/No, 6 - Yes/No, 8 - Yes.

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Problem 7241

Check if 7264 is divisible by 6, 8, and 9. Answer Yes or No for each.

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Problem 7242

Check if 7264 is divisible by 9, 10, and 12.

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Problem 7243

Is 147,701 divisible by 4? Answer with Yes or No.

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Problem 7244

Is 147,701 divisible by 4 or 9? Check by using 147701mod4147701 \mod 4 and 147701mod9147701 \mod 9.

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Problem 7245

Check if 147,701 is divisible by 4, 9, 10, and 6. Results: 4 (Yes), 9 (No), 10 (Yes), 6 (No).

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Problem 7246

Find the prime factorization of 24 using exponents for repeated factors. What is it?

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Problem 7247

Find the prime factors of the number 105. What is its prime factorization? 105=105 =

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Problem 7248

Find the prime factorization of 76 using exponents for repeated factors. 76= 76=

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Problem 7249

Find the prime factorization of 225, using exponents for repeated factors.

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Problem 7250

Find the greatest common divisor (gcd) of 16 and 50. What is the gcd? (Type a whole number.)

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Problem 7251

Find the GCD of 84 and 56. The GCD of 84 and 56 is $$.

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Problem 7252

Find the GCD of 99 and 66. The GCD of 99 and 66 is $$.

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Problem 7253

Find the greatest common divisor of 105 and 175. What is it? (Type a whole number.)

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Problem 7254

Find the least common multiple (LCM) of 84 and 24. The LCM is lcm(84,24)\text{lcm}(84, 24).

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Problem 7255

Find the LCM of 90 and 20. The LCM of 90 and 20 is $$.

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Problem 7256

Find the least common multiple of 198 and 54. What is it?

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Problem 7257

Identify the sequence: 11,13,17,19,23,29,31,37,11, 13, 17, 19, 23, 29, 31, 37, \ldots What type of numbers are these? A) Prime B) Composite C) Whole D) Natural

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Problem 7258

Find a four-digit natural number divisible by 4 but not by 8. Choices: A. 1020 B. 1826 C. 4049 D. 2122 E. 1144 F. 2120

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Problem 7259

Determine if this statement is valid: "A prime number has three natural number factors." Choose A, B, or C.

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Problem 7260

Find the prime factorization of 44 using exponents for repeated factors. 44= 44 =

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Problem 7261

How many years in a teen's life are they a prime age? A. 3 B. 4 C. 1 D. 2

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Problem 7262

Check if 4328 is divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 12 using divisibility rules.

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Problem 7263

Determine the number of significant figures in 20.00320.00_{3}.

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Problem 7264

Count the significant figures in 0.0157 kg. [Choose]

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Problem 7265

Determine if this statement makes sense: "A prime number has three natural number factors." Explain your reasoning.

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Problem 7266

How many significant figures are in 28.00 g?

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Problem 7267

Count the significant figures in the measurement 75.000 m75.000 \mathrm{~m}.

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Problem 7268

Calculate the product of 3.15, 2.5, and 4.00 with the correct significant figures: 3.15×2.5×4.00=3.15 \times 2.5 \times 4.00 =

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Problem 7269

Find the result of 313.0(1.2×103)313.0 - (1.2 \times 10^{3}) with the correct significant figures.

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Problem 7270

Calculate (4.123×0.12)+24.2(4.123 \times 0.12) + 24.2 and give the result with the right significant figures.

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Problem 7271

Calculate (17.103+2.03)×1.02521(17.103 + 2.03) \times 1.02521 with the correct number of significant figures.

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Problem 7272

Convert 1.48×107μg1.48 \times 10^{7} \mu \mathrm{g} to grams. How many grams is that?

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Problem 7273

Report the significant digits in the calculation: (4.33.7)×12.3=(4.3-3.7) \times 12.3=

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Problem 7274

Calculate 1000+(140+160)1000 + (140 + 160).

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Problem 7275

Kala has two coupons for an \$83 chair. Coupon A: 35% off, Coupon B: \$33 rebate. Which coupon gives a lower price? Fill in the blank: The price with coupon A is \$\square less than B or the price with coupon B is \$\square less than A.

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Problem 7276

Hans has two coupons for a \$57 phone: A: \$8 off, B: 20% off. Which coupon gives a lower price? Fill in the blank: \$\square less.

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Problem 7277

List the fractions of red, blue, green, and yellow marbles from greatest to least based on 60 total marbles.

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Problem 7278

Four friends paid a total of \$50.24 for tickets. What is the cost per ticket for each friend?

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Problem 7279

Which student grew the least: Ellen (78\frac{7}{8} inch), Kelvin (916\frac{9}{16} inch), or Grady (34\frac{3}{4} inch)?

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Problem 7280

Which of these is NOT equal to 3654\frac{36}{54}? A. 1218\frac{12}{18} B. 812\frac{8}{12} C. 2430\frac{24}{30} D. 4872\frac{48}{72}

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Problem 7281

Сколько молей оксида кальция в 112 г вещества? Найдите: n(CaO)n(\mathrm{CaO}) при m(CaO)=112Γm(\mathrm{CaO})=112 \Gamma.

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Problem 7282

1. Four friends paid a total of \$50.24 for tickets. How much did each friend pay?
2. Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, how far did he drive in August?
3. Which of these is NOT equivalent to 3654\frac{36}{54}? A. 1218\frac{12}{18} B. 812\frac{8}{12} C. 2430\frac{24}{30} D. 4872\frac{48}{72}
4. Which inequality is true? A. 34<59\frac{3}{4}<\frac{5}{9} B. 1720>45\frac{17}{20}>\frac{4}{5} C. 56<1114\frac{5}{6}<\frac{11}{14} D. 712>1625\frac{7}{12}>\frac{16}{25}

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Problem 7283

Which inequality is true: A. 34<59\frac{3}{4}<\frac{5}{9}, B. 1720>45\frac{17}{20}>\frac{4}{5}, C. 56<1114\frac{5}{6}<\frac{11}{14}, D. 712>1625\frac{7}{12}>\frac{16}{25}?

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Problem 7284

b) Liam, Joan and Martha split a bill in the following ratio: \begin{tabular}{|ccccc|} \hline Liam & & Joan & & Martha \\ 4 & :: & 3 & :: & 5 \\ \hline \end{tabular}
Liam and Joan paid 154€ 154 in total between them. Martha paid the rest of the bill. Work out how much Martha paid.

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Problem 7285

(10+5×6)÷(4/2)(10+5 \times 6) \div(4 /-2)

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Problem 7286

[a] Meg and Gabby work at different car washes. Meg worked for 4 hours and earned $31\$ 31. Gabby worked for 5 hours and earned $37.50\$ 37.50. Who makes more money per hour?
Meg Gabby

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Problem 7287

Most of the cars the Green Pine Auto Dealership sells are minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, the dealership ran some promotions, and they sold 15 minivans and 25 sedans. During which month did the dealership sell a greater ratio of minivans to sedans?
The dealership sold a greater ratio in January.
The dealership sold a greater ratio in February.
Neither. The dealership sold the same ratio in both months.

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Problem 7288

Danny had friends over to watch a football game last night. He served spicy cheese dip as an appetizer. First, he melted cheese in a pot. He split the cheese, putting the same amount into two serving bowls. Then, Danny mixed spicy peppers into each bowl. He put fewer spicy peppers in the second bowl. Which cheese dip was spicier?
The first bowl of cheese dip was spicier.
The second bowl of cheese dip was spicier.
Neither. The cheese dips were equally spicy.

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Problem 7289

dule A This quiz: 15 point(s) possible This question: 1 point(s) possible Submit quiz
Mary purchased 4 tires by mail order. She paid $49.70\$ 49.70 per tire plus $5.30\$ 5.30 per tire for shipping and handling. There is no sales tax, because the tires were purchased out of state. She also had to pay $7.17\$ 7.17 per tire for mounting and balancing. At a local store, Mary's total for the 4 tires with mounting and balancing would be $296\$ 296 plus 6%6 \% sales tax. How much did Mary save by purchasing the tires through the mail?
Mary saved \ \square$ on the purchase of 4 tires.

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Problem 7290

Express the given decimal as a percent. 0.55920.5592 \square \%

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Problem 7291

Exercice 1 1- Effectuer, en binaire, les opérations suivantes: a) 7 B(16)+56,4(8)7 \mathrm{~B}_{(16)}+56,4_{(8)} b) A9(16)33(4)\mathrm{A} 9_{(16)}-33_{(4)}
2- Effectuer en octal : 726(8)535(8)726_{(8)}-535_{(8)} et en hexadécimal : 3AD2(16)+BOFF(16)3 \mathrm{AD} 2_{(16)}+\mathrm{BOFF}_{(16)}. 3- Déterminer la base BB sachant que (25)B=(10111)2(25)_{B}=(10111)_{2} 4- Convertir 94(10)94_{(10)} en binaire puis recopier et compléter le tableau suivant: \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline \begin{tabular}{l} Chiffres du \\ nombre en base 2 \end{tabular} & & & & & & & & \\ \hline Rang du chiffre & & & & & & & & \\ \hline Poids de chiffre & & & & & & & & \\ \hline Valeurs & & & & & & & & \\ \hline \end{tabular}
5- Déterminer xx et yy tel que : (3x2,y3)6=(134,25)10(3 x 2, y 3)_{6}=(134,25)_{10} 6- Effectuer les conversions suivantes : a) 180(10)=N(2)=N(16)180_{(10)}=\mathrm{N}_{(2)}=\mathrm{N}_{(16)} b) 7C,B(16)=N(8)=N(10)7 \mathrm{C}, \mathrm{B}_{(16)}=\mathrm{N}_{(8)}=\mathrm{N}_{(10)} c) 1010,011(2)=N(10)=N(8)=N(16)1010,011_{(2)}=\mathrm{N}_{(10)}=\mathrm{N}_{(8)}=\mathrm{N}_{(16)}
Exercice 2: 1) On considère la liste de matériels : Souris, routeur, carte mère, stylet, microprocesseur, écran plat, carte mémoire, câble RJ45, clé USB, modem, disque dur, graveur DVD, scanner, caméscope, imprimante, carte son, serveur, carte réseau, carte graphique. Relever dans cette liste: a) 3 Supports de stockage b) 3Composants internes à l'unité centrale c) 3 Equipements réseaux d) 3 Périphériques d'entrée e) 3 Cartes d'extension f) Un périphérique qui peut se connecter au port USB 2) Citer les différents bus système et donner le rôle de chacun d'entre eux

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Problem 7292

76201220=?7 \frac{6}{20}-\frac{12}{20}=? 617206 \frac{17}{20} 616206 \frac{16}{20} 615206 \frac{15}{20} 614206 \frac{14}{20}

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Problem 7293

Solve the following:\text{Solve the following:} 8×(4)+10+(8)+(9)8 \times (4) + 10 + (8) + (9)

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Problem 7294

TYT / Temel Matematik
5. \%40'ı tuz olan bir çözelti hazırlamak isteyen Alper'in, bunun için boş bir kaba 10 birimküp tuz ve bir miktar su koyup karıştırması gerekmektedir. Boş kaba tuzu doğru ölçüde koyan Alper, kaba yanlışlıkla doğru ölçünün 2 katı kadar su koyduğuna göre, oluşan çözeltinin yüzde kaçı tuz olur? A) 15 B) 20 C) 25 D) 30 E) 35

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Problem 7295

1.(1) 288 dollars must be divided between three children proportionally of their ages. Children are 10, 11 and 15 years old. How many dollars will receive the eldest child?
2. (0.5) What percent of 1050 is 70 ?
3. (0.5) 80 is 4%4 \% of what number?
4. (0.5) Find 35 percent of 300

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Problem 7296

ب) بدون حساب الجذور رتب الأعداد الأتية تصاعدياً : 4,83,926\sqrt{4}, \sqrt[3]{8}, \sqrt[6]{92}

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Problem 7297

37+57\frac{-3}{7}+\frac{5}{-7}

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Problem 7298

16. Машины үйлдвэр A,B,C,D\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D} загваруудыг 7:5:3:17: 5: 3: 1 харьцаатайгаар үйлдвәрлэдәг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? 900

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Problem 7299

Enter the prime factorization of 300 .
Use exponents for repeated factors. Be sure to use the * between different factors. For example, the prime factorization for 12 can be entered as 2232 \wedge 2 * 3 or 3223 * 2 \wedge 2. \square Submit Question

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Problem 7300

a) 515+824\frac{5}{15}+\frac{-8}{24}

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