Math (3) See if you can answer these math question that range from Algebra to Pre-Calculus Mad_Hatter13 published on October 29, 20167 responses 0 5.0★ / 5 Questions in vertical order Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below? Type answer (9 letters) If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ? Type answer (2 letters) In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ? 110 70 120 132 150 In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters? 1 3 2 4 5 The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box? l = 2w – 3 l = (1/2)w + 3 l = w + 3 l = w – 3 l = 2w + 3 What is the value of x when 2x + 3 = 3x – 4 ? Type answer (1 letters) A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve? Type answer (3 letters) An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner? Type answer (4 letters) Ms. Hernandez began her math class by saying:I’m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of? 13 14 15 16 18 Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. How many different daily lunch specials are possible? 120 8 50 14 30 Which one of the following expressions has an even integer value for all integers a and c ? 3a+3c a+2c 8a+2ac 2a+c ac+a2 How many irrational numbers are there between 1 and 6 ? 1 Inffinatly many 8 2 6 A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player? Type answer (6 letters) What is the slope of any line parallel to the line 9x + 4y = 7? -9 (9/7) 7 9 (-9/4) What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock? 15 45 60 30 72 Which of the following is the sine of angle A in the right triangle below? (5/13) (12/13) (13/5) (12/5) (5/12) Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?1.23w = t1.01x = t0.99y = t0.23z = t W X Y Z Can not be determined In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ? Type answer (5 letters) When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y? Type answer (2 letters) Each side of the smaller square in the figure below is x inches long, and each side of the larger square is c inches longer than a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square? c2 xc (x + c)2 2xc + c2