Algebra - math word problems - page 263 of 305
Number of problems found: 6095
- Cyclist trajectory
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming - AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702. - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - Factorization and primes
Write how many twos are in the prime factorization of the number 2024. - HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively. - Arithmetic mean sixth
The arithmetic mean of the six numbers is precisely 9.5. The sum of these five numbers is 56.9. The sixth number is? - N percentille problem
Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2 - Three roads
The three boys moved from start to finish on three different routes, A, B, and C, always simultaneously. Adam drove road A 1500 m long on a scooter. Blake walked route B 600 m long on foot. Cyril got on a scooter on route C after a 90 m walk, then he left - Insert AP member
Insert arithmetic means between 75 and 180. - AP of two numbers
The arithmetic mean of two numbers is 142, one of the numbers is 16 more than the second. Find both numbers. The arithmetic mean is (a+b)/2 - Average
The arithmetic mean of the two numbers is -79.1. One number is -49. Calculate the second number. - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3] - Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train - Finding the Second Number
The arithmetic mean of two numbers is 10. One of the numbers is 2. What is the second number? - Arithmetic average
The arithmetic mean of the five numbers is exactly 8. The sum of these four numbers is 30. What is the fifth number? - Point collinear coordinates
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Proportional relationship 2
If y is proportional to x, and y=150 when x=2.4, what is the value of y when x=3.5 - Slope
What is the slope of the line defined by the equation 4x -2y = 10? - Sequence decreasing proof
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
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