1- Choice A is correct
The correct answer is \(3 \ N \ + \ 4 = 28\) Three times a number \(N\) is \(3 \times \ N\). When \(4\) is added to it, the result is: \(4 \ + \ 3 \times \ N= 28 →\) \(3 \ N \ + \ 4 = 28\)
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2- Choice D is correct
The correct answer is \(2\) \(\frac{8}{3} \ - \ \frac{2}{3} = \frac{6}{3} = 2\)
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3- Choice A is correct
The correct answer is \(8\) \(56\) divided by \(3\), the remainder is \(2\). \(90\) divided by \(8\), the remainder is also \(2\).
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4- Choice C is correct
The correct answer is \(8\) \( 42 = 4 \times N \ + \ 10 →\) \(4 \ N = 42 \ - \ 10 = 32→\) \(N = 8\)
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5- Choice A is correct
The correct answer is \(45\) All angles in a triangle sum up to \(180\) degrees. The triangle provided is an isosceles triangle. In an isosceles triangle, the three angles are \(45, \ 45\), and \(90\) degrees. Therefore, the value of \(x\) is \(45\).
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6- Choice C is correct
The correct answer is \(80\) The ratio of red marbles to blue marbles is \(6\) to \(3\). Therefore, the total number of marbles must be divisible by \(9\). \(6 \ + \ 3 = 9\) \(80\) is the only one that is not divisible by \(9\).
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7- Choice D is correct
The correct answer is \(2,975\) \(3,500 \ - \ 525 = 2,975\)
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8- Choice D is correct
The correct answer is \(16\) \(4\ + \ 3 = 7\) \(7 \ + \ 4 = 11\) \(11 \ + \ 5 = 16\) \( 16 \ +\ 6 = 22\)
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9- Choice B is correct
The correct answer is \(14\) \(4\) percent of \(350 = \frac{4}{100} \times 350 = \frac{1}{25} \times 350 = \frac{350}{25} = 14\)
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10- Choice A is correct
The correct answer is \(16\) cm\(^2\) Area of a square \(=\) side \(\times\) side \(= 16 →\) side \(= 4\) Perimeter of a square \(= 4 \times\) side \(= 4 \times 4 = 16\)
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11- Choice C is correct
The correct answer is \(3\) Dividing \(135\) by \(4\) leaves a remainder of \(3\).
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12- Choice A is correct
The correct answer is \(36\) The length of the rectangle is \(12\). Then, its width is \(6\). \(12 \div 2 = 6\) Perimeter of a rectangle \( = 2 \times\) width \(+ \ 2 \times \) length \(= 2 \ × \ 6 \ + \ 2 \ × \ 12 = 12 \ + \ 24 = 36\)
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13- Choice B is correct
The correct answer is \($500\) \($75\) off is the same as \(15\) percent off. Thus, \(15\) percent of a number is \(7\). Then: \(15\%\) of \(x = 75 →\) \(0.15\ x = 75 →\) \(x = \frac{75}{0.15} = 500\)
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14- Choice B is correct
The correct answer is \(2,700\) \(3,000 \ + \) A \(- \ 300 = 5,400 →\) \(3,000 \ +\) A \(=5,400 \ +\ 300 =5,700 →\) A \(=5,700 \ - \ 3,000 = 2,700\)
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15- Choice A is correct
The correct answer is \(y \ - \ 5\) Mike's Money \(= y\) Jack's Money \(= y \ + \ 15\) Jack gives Mike \($10 → y \ + \ 15 \ - \ 10 = y \ - \ 5\)
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16- Choice B is correct
The correct answer is \(1\) \(x \ + \ 5 = 8 → x = 3\) \(3 \ y = 12 → y = 4\) \(y \ - \ x = 4 \ - \ 3 = 1\)
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17- Choice A is correct
The correct answer is \($13.25\) \(25\) percent of \($53.00\) is \($13.25\). (Remember that \(25\) percent is equal to one fourth)
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18- Choice A is correct
The correct answer is \(0.5\) \(\frac{4}{3}=1.33\), the only choice provided that is less than \(0.5\) is choice A. \(\frac{4}{3} = 1.33 \ > \ 0.5\)
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19- Choice C is correct
The correct answer is \(140\) \(256 \ - \ x \ + \ 104 = 220 →\) \(256 \ - \ x = 220 \ - \ 104 = 116 →\) \(x = 256 \ - \ 116 = 140\)
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20- Choice B is correct
The correct answer is \(2.65\) \(7.25 \ - \ 4.6 = 2.65\)
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21- Choice C is correct
The correct answer is \(7\) \( N \times (7 \ -\ 5) = 14 →\) \( N \times 2 = 14 →\) \(N = 7\)
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22- Choice B is correct
The correct answer is \(0.3954\) Of the numbers provided, \(0.3954\) is the greatest.
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23- Choice D is correct
The correct answer is \(40\) \(\frac{1}{5}\) of students are girls. Therefore, \(\frac{4}{5}\) of students in the class are boys. \(\frac{4}{5}\) of \(50\) is \(40\). There are \(40\) boys in the class. \(\frac{4}{5} \times 50 = \frac{200}{5} = 40\)
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24- Choice A is correct
The correct answer is \(6\) The closest number to \(6.03\) is \(6\).
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25- Choice C is correct
The correct answer is \(920\) \(300 \ + \ \Box \ - \ 120 = 1,200 →\) \(300 \ + \ \Box = 1,200 \ + \ 120 = 1,220\) \(\Box = 1,220 \ – \ 300 =920 \)
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26- Choice A is correct
The correct answer is \(11\) If \(x \ ∎ \ y = 4 \ x\ +\ y\ - \ 5\), Then: \(2\ ∎ \ 8 = 4 (2) \ + \ 8 \ - \ 5 = 8 \ + \ 8 \ - \ 5 = 11\)
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27- Choice A is correct
The correct answer is \(0.166\) \(\frac{5}{6} \ - \ \frac{2}{3} =\) \(\frac{5}{6} \ - \ \frac{4}{6} = \frac{1}{6} =0.166 \)
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28- Choice C is correct
The correct answer is \(250\) pounds \(210 \ + \ 40 = 250\)
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29- Choice A is correct
The correct answer is \((3 \times \ 2 \ + 4) \div \ 2= 4\) \((3 \times \ 2 \ + 4) \div \ 2= 5\) not \(4\)
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30- Choice A is correct
The correct answer is \(147.5\) Let’s order number of shirts sold per month: \(130, \ 140,\ 145, \ 150, \ 160, \ 170\) Median is the number in the middle. Since, there are \(6\) numbers (an even number) the Median is the average of numbers \(3\) and \(4\): Median is: \(\frac{145 \ + \ 150}{2} = 147.5\)
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31- Choice B is correct
The correct answer is \(60\) hours Speed \(= \frac{distance}{time}\) \(70 = \frac{4,200}{time} →\) tme \(= \frac{4,200}{70} = 60\) It takes Ann about \(60\) hours to go from city A to city B.
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32- Choice C is correct
The correct answer is Thousandths
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33- Choice A is correct
The correct answer is \(10\) \( 240 \div 24 = 10\)
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34- Choice D is correct
The correct answer is \(0.8\) \(\frac{12}{15} = 0.8 \)
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35- Choice A is correct
The correct answer is \(6\) \(6\) is NOT a prime factor. (it is divisible by \(2\) and \(3\))
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36- Choice C is correct
The correct answer is \(21\) \(5 \ a\ +\ 15 = 120\) \(5 \ a = 120 \ - \ 15\) \(5\ a = 105\) \(a = 21\)
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37- Choice D is correct
The correct answer is \(9\) \(\frac{1}{4}\) of \(36\) hours is \(9\) hours. \(\frac{1}{4} \times 36 = \frac{36}{4} = 9\)
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38- Choice B is correct
The correct answer is \(0.31\) \(\frac{31}{1,00} = 0.31\)
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38- Choice B is correct
The correct answer is \(0.31\) \(\frac{31}{1,00} = 0.31\)
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39- Choice B is correct
The correct answer is \(2\) The factors of 14 are: \(\left\{ 1, \ 2, \ 7, \ 14 \right\}\) The factors of 24 are: \(\left\{ 1, \ 2, \ 3 ,\ 4, 6 ,\ 8,12 , \ 24 \right\}\) greatest common factor (GCF) \(= 2\)
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40- Choice C is correct
The correct answer is \(12\) Use the Pythagorean Theorem to find the length of the third side: \(a^2 \ + \ b^2 = c^2\) \(3^2 \ + \ 4^2 = c^2\) \(25= c^2\) \(c = 5\) The perimeter of the triangle is: \(3 \ + \ 4 \ + \ 5 = 12\)
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41- Choice D is correct
The correct answer is \(36,512\) thirty-six thousand, five hundred twelve is written as \(36,512\)
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42- Choice A is correct
The correct answer is \(15\) From choices provided, only \(15\) is NOT a multiple of \(4\).
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43- Choice C is correct
The correct answer is \(10,000\) The question is that number \(85,264.86\) is how many times of number \(8.526486\). The answer is \(10,000\).
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44- Choice A is correct
The correct answer is \(22.5\) pancakes Lily eats \(2\) pancakes in \(1\) minute \(⇒\) Lily eats \(2 \times 5\) pancakes in \(5\) minutes. Ella eats \(2 \ \frac{1}{2}\) pancakes in \(1\) minute \(⇒\) Ella eats \(2 \ \frac{1}{2} \times 5\) pancakes in \(5\) minutes. In total Lily and Ella eat \(10 \ + \ 12.5 = 22.5\) pancakes in \(5\) minutes.
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45- Choice D is correct
The correct answer is \(6.74\) \(0.59\ + \ 1.8\ + \ 4.35 =6.74\)
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46- Choice D is correct
The correct answer is \(16\) To solve this problem, divide \(5 \ \frac{1}{3}\) by \(\frac{1}{3}\). \(5 \ \frac{1}{3} \div \frac{1}{3} = \frac{16}{3} \div \frac{1}{3} = \frac{16}{3} \times \frac{3}{1} = 16\)
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47- Choice A is correct
The correct answer is \(5 \ \div \ 7\) \(\frac{5}{7}\) means \(5\) is divided by \(7\). The fraction line simply means division or \(÷\). Therefore, we can write \(\frac{5}{7}\) as \(5 \ ÷ \ 7\).
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48- Choice C is correct
The correct answer is \(3 \ + \ (- \ 9) \times (1)\) Simplify each choice provided using order of operations rules. A:\((- \ 3) \times (- \ 2) \ - \ 4=6 \ - \ 4=2\) B:\(- \ 5 \times (- \ 2) \ + \ (- \ 2) \ (- \ 7)=10 \ + \ 14=24\) C: \(3 \ + \ (- \ 9) \times (1)=3 \ - \ 9=- \ 6\) D: \(4 \ - \ ( - \ 5) \ + \ (15)=4 \ + \ 5 \ + 15=24\)
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49- Choice D is correct
The correct answer is \(16\) Perimeter of a rectangle \(= 2\) (length \(+\) width) \(= 2(5 \ + \ 3) = 16\)
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50- Choice A is correct
The correct answer is \(45^{°}\) F Low temperature is \(20^{°}\) F cooler than the temperature at \(1:00\) PM that is \(65^{°}\) F, that means low temperature is \((45^{°}\) F \((65^{°}\) F \( – \ 20^{°} \) F).
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51- Choice B is correct |
52- Choice B is correct
The correct answer is \(9\) Area \(=\) width \(\times\) height Area \(= 63\) Width \(= 7, \ 63 = 7 \times\) height height \(= \frac{63}{7} = 9\)
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53- Choice A is correct
The correct answer is \(5\) \((4 \ +\ 6) \div (2^{2} \div 2) = (10) \div (4 \div 2) = (10) \div (2) = 5\)
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54- Choice A is correct
The correct answer is \(22,328; \ 28,350; \ 31,036; \ 31,156\) \(22,328 \ ≤ \ 28,350 \ ≤ \ 31,036 \ ≤ \ 31,156\)
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55- Choice D is correct
The correct answer is between \($50\) and \($55\) \(3.45 \ +\ 18.35 \ + \ 2.65 \ + \ 6.45 \ + \ 19.87 =50.77 \)
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56- Choice C is correct
The correct answer is (\(72 \ + \ 24\)) To find total number of students in Riddle Elementary school, add number of all students. \(72 \ + \ 24 =96 \)
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57- Choice C is correct
The correct answer is \(1,456\) \(52 \times 28 =1,456\)
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58- Choice D is correct
The correct answer is \(11\) The line is from \(2\) to \(- \ 9\). \(2 \ –\ (– \ 9) = 2 \ + \ 9 = 11\)
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59- Choice A is correct
The correct answer is \(0.589\) \(\frac{10}{17} \cong 0.589 \)
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60- Choice B is correct
The correct answer is (a. \(\frac{6}{16}\) ; b. \(\frac{5}{10}\)) The first picture is divided to \(16\) parts that \(6\) parts of it is shaded \((\frac{6}{16})\). The second picture is divided to \(10\) parts that \(5\) parts of that is shaded \((\frac{5}{10})\).
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61- Choice D is correct
The correct answer is \(544\) Three – digit even numbers that have a \(5\) in the hundreds place and a \(4\) in the tens place are \(542, \ 544, \ 546, \ 548\). \(544\) is one of the choices.
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62- Choice C is correct
The correct answer is \(\frac{1}{9}\) probability \(= \frac{desired \ outcomes}{possible \ outcomes} =\) \(\frac{4}{5 \ + \ 9 \ + \ 15 \ + \ 7} =\) \(\frac{4}{36} = \frac{1}{9}\)
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63- Choice D is correct
The correct answer is (The digit \(8\) has a value of \((8 \times 100)\)) The digit \(6\) has a value of \(6 \times \frac{1}{100}\) The digit \(4\) has a value of \(4 \times 10,000\) The digit \(8\) has a value of \(8 \times 10 = 800\) The digit \(5\) has a value of \(5 \times 1,000\) So choice C is true.
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64- Choice A is correct
The correct answer is \(14.71\) average (mean) \(= \frac{sum \ of \ terms}{number \ of \ terms}\) \(= \frac{10 \ + \ 13 \ + \ 16 \ + \ 17 \ + \ 19 \ +\ 15\ + \ 13}{7} = 14.71\)
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65- Choice C is correct
The correct answer is \(\frac{72}{100}\) \(0.62\) is equal to \(\frac{72}{100}\)
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66- Choice B is correct
The correct answer is \(8,760\) \(1\) year \(=365\) days, \(1\) day \(=24\) hours \(1\) year \(= 365 \times 24\) \(1\) year \(= 8,760\)
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67- Choice B is correct
Find the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least. LCD of \(2, \ 8, \ 4\) and \(16\) is \(16\). Rewrite the input fractions as equivalent fractions using the LCD: A. \(\frac{8}{16}\) B. \(\frac{6}{16}\) C. \(\frac{12}{16}\) D. \(\frac{9}{16}\) So, choice B;\(\frac{6}{16}\) has the least value.
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68- Choice B is correct
The correct answer is square. The name of a rectangle with sides of equal length is square.
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