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which of the following is the total number of whole boxes that measure 2ft x 2ft x 2ft that can be stored in a room that measures 9ft x 9ft x 9 ft if the size of the boxes cannot be altered?A.18B.125C.64D.92 correct answers volume of box =L X W X H=2X2X2=8Volume of room = L X W X H=9X9X9=729Total number of boxes = Volume of room / Volume of single boxTotal number of boxes =729/8=91.125Since you can't have a fraction of a box, you would be able to fit 91 whole boxesFrom the given options 92 is...

3(7^2 + 5) ÷ 6 - 3 1. 26 2. 23 3. 24 4. 49/3 correct answers 3 Solve 68.567 - 13 - 2.43 1. 43.576 2. 53.137 3. 68.311 4. 83.997 correct answers 2 A soccer team with 16 players gets a donation of $7,296 from a small local business to share equally. Each of the team members agrees to donate $137 to a local charity, pay $117 towards transportation for the team, and to spend $32 on dinner. How much money will each player have left? Please do not include the dollar sign in your ...

1. Which of the following is the most likely weight of a pencil? a 25 g b 25 kg c 25 mg d 25 cm correct answers A 25g 2. A consumer makes a $400 down payment on a television that costs $1,570. Which of the following is the number of months it will take to pay off the television with monthly payments of $100? (Assume no interest is owed) A 12 B 15 C 11 D 16 correct answers A 12 A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the fo...

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Which of the following is the smallest prime number greater than 200? A. 201. B. 205. C. 211. D. 214 correct answers 211 If 40% is equal to the fraction x/30, what is the value of x? A. 0.4 B. 15 C. 1,200 D. 12 correct answers 12 The expression "5 factorial" equals A. 125. B. 120. C. 25. D. 10. correct answers 120 What is the result of subtracting 3x² - 5x - 1 from 8x² + 2x + 9? A. 5x² - 3x - 10 B. -5x² - 3x - 10 C. 5x² +7x - 8 D. -5x² - 7x + 8 correc...

25 percent of what number is equal to 5? A. 5 B. 20 C. 40 D. 50 correct answers B. 20 Which of the following is the equivalent of 12/25? A. 0.36 B. 0.42 C. 0.48 D. 0.52 correct answers C. 0.48 Which of the following means 3n + 7 = 16? A. 7 more than 3 times a number is 16 B. 3 more than 7 times a number is 16 C. 7 less than 3 times a number is 16 D. 10 times a number is 16 correct answers A. 7 more than 3 times a number is 16 Which number sentence is true? ...

Vision a box... Side box 5cm bottom right long side 4 cm front bottom short side 3cm The volume of this box is A. 12 cm 3 B. 15 cm 3 C. 20 cm 3 D. 60 cm3 correct answers The correct answer is (D) 60 cm3. The volume of a cubic rectangle is length x width x height: 3 x 4 x 5 = 60 If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n? A. 49 B. 56 C. 63 D. 69 correct answers The correct answer is (C) 63. If you know one multip...

If 48 is divided by 0.08, the result is? correct answers 600 If the number 9,899,399 is increased by 2,082, the results will be? correct answers 9,901,471 The cube of 9 is? correct answers 729 What is the value of (-ab)(a) when a =-2 and b = 3? correct answers -12 (x - 4)(x -4) = ? correct answers X^2 - 8x + 16 0.123 x 10^4 = ? correct answers 1,230 square root 100 - square root 64 = ? correct answers 2 A circle has a diameter of 6, an area of b square units, and a circumfer...

Which number represents the smallest amount? 180 .810 1/8 1 1/5 .1 correct answers .1 253/46= correct answers 5.5 Reduce the fraction 14/35 to its lowest terms. correct answers 2/5 What is the missing number? 0,1,1,2,3,5,8,__,21,34 correct answers 13 Janine's shoes cost $44.50, her pants cost $20.80 and her t-shirt cost $14.95. What is the total of her purchase? correct answers $80.25 Julie is a hairstylist. she makes $10.25 an hour, plus $6 extra for every haircut she...

If x=8, what's the value of y in the equation y=(x^^/4)-2? correct answers A) Substitute 8 for x in the equation and then solve for y: y=(x^^/4)-2 =(8^^/4)-2 =(64/4)-2 =16-2 =14 the cube of 5 is correct answers A) The cube of 5 is 5^^^, which is 5x5x5=125. 2.5x3^^^= correct answers C) Because of the order of operations, you need to find 3^^^ first and then multiply by 2.5: 2.5x3^^^ =2.5(3x3x3) =2.5x27 =67.5 The fourth root of 16 is correct answers D) B...

1 pound correct answers 16 ounces 1 gallon correct answers 8 pints 4 quarts correct answers 1 gallon 1 yard correct answers 3 feet 1 ton correct answers 2000 pounds Perimeter of Rectangle correct answers 2 (L) + 2 (W) Area of a Circle correct answers Pi x Radius2 Circumference of a Circle correct answers 2 x Pi x Radius Area of Rectangle correct answers L x W Percent Decrease correct answers x/100 = Difference/ Original Price; Original Price is larger number Percent...

(4x3)x3-6x(9/3) correct answers 18 Which of the following fractions is the largest? A:2/3 B:5/8 C:11/16 D:3/4 correct answers D:3/4 What's the product of 36 and 49? A:42 B:1764 C:13 D:6 correct answers A:42 Which of the following is expressed as an improper fraction? A: 1 5/28 B:9/7 C:1/2 D:345/346 correct answers B:9/7 2^3•2^4? correct answers 128 Express 403,000,000,000,000 in scientific notation. correct answers 4.03x10^14 27.65•31.3 correct answers 865.44...

Volume of a Rectangular Prism correct answers V= wlh Volume of a Cylinder correct answers V=π(r^2)h Volume of a Sphere correct answers V=4/3π(r^3) Volume of a Cone correct answers π(r^2)h/3 Rectangular Pyramid correct answers V= lwh/3 Surface Area of Rectangular Prism correct answers SA=2(wl+hl+hw) Surface Area of Cylinder correct answers SA=2πrh+2π(r^2) Surface Area of Sphere correct answers SA= 4π(r^2) Area of Square/Rectangle correct answers bh Area of Triangl...

Simple interest (add-on interest) correct answers I = Prt Future value for simple interest correct answers A = P + Prt A = P(1 + rt) P = A/1 + rt Future value for compound interest correct answers A = P(1 + r/m)^n APY = Effective Annual Yield correct answers Y = (1 + r/m)^m - 1 Future Value for Continuous Compound (inflation) correct answers A = Pe^rt Inflation Proportion correct answers Price in Year A/Price in Year B = CPI in Year A/CPI in Year B Years to Double correct ans...

Evaluate the expression. (8 − 4)! correct answers 24 Fill in the blanks to show how to evaluate P(9, 5) using the counting principle. ( ) · ( ) · ( ) · ( ) · ( ) correct answers (9) · (8) · (7) · (6) · (5/1) Evaluate the expression. P(9, 3) · P(5, 2) correct answers 10080 Evaluate the expression. C(9, 2) correct answers 36 Evaluate the expression. C(7, 4) · C(9, 4) correct answers 4410 The board of directors of a corporation must select a president, a secretary, a...

P(x) = R(x) - C(x) correct answers Profit Function x p(x) correct answers Revenue Function C(x)/x correct answers Average Cost Function p f'(p)/f(p) correct answers Elasticity of Demand E>1 correct answers Elastic Demand E<1 correct answers Inelastic Demand E=1 correct answers Unitary Demand ∫D(x) -PX [0,X] correct answers Consumer Surplus PX - ∫S(x) [0,X] correct answers Producer Surplus e^rT ∫R(t) e^-rt [0,T] correct answers Future Value/Accumulated/In...

The numbers 0,1,2,3,4,5,6,7,8,9,10,11,12 are called what numbers? correct answers Whole Numbers In a whole number, each group of three digits is called an what? correct answers Period Whats a place value? correct answers The position of each digit in a number what is the numbers for place value? correct answers ones tens hundreds thousands ten thousand one hundred thousand millions ten millions hundred millions billions ten billion hundred billion determine the place valu...

Determine the truth value of the compound statement given that p is a true statement, q is a true statement, and r is a false statement. p ∨ (~q ∨ r) correct answers TRUE Determine the truth value of the compound statement given that p is a false statement, q is a false statement, and r is a true statement. [~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r) correct answers FALSE Determine the truth value of the compound statement given that p is a false statement, q is a true statement, and r is a t...