Algebra - math word problems - page 268 of 312
Number of problems found: 6224
- 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? - Finding the Second Number
The arithmetic mean of two numbers is 10. One of the numbers is 2. What is the other 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? - Number arithmetic mean
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number? - Harmonic series
Insert four members between 5/3 and 5/11 to form a harmonic series (means). - Find the mean Find the number between 13 and 29.
- Line segment
Divide a 15 cm line segment into two parts so that their lengths are in a ratio of 2:1. What is the length of each part? - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead - Two doctors
Doctor A makes the correct diagnosis with a probability of 89% and Doctor B with a probability of 75%. Calculate the probability of a correct diagnosis if both doctors examine the patient independently. - Line ratio division
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm? - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - At the beginning 3
At the beginning of motion, a car was going at a speed of 120 km/h and kept this speed for the first 11 seconds. Then it began to accelerate further such that every second it accelerated by 6 km/h until it reached a speed of 150 km/h. Then it began to dec - Carillon MO - Z5 - 1 - 66
The carillon in the courtyard plays at every full hour a short composition, starting at 8 a.m. and ending at 10 p.m. The compositions total eighteen, at the full hour always only one is played, and after playing all eighteen it starts again in the same or - Phone battery
Mrs. Helen has an old cell phone with nothing to do but makes phone calls. The cell phone will discharge in 72 hours when fully charged and on the phone. Three hours of calling in a row are enough to discharge a fully charged phone. After the last full ch - Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Z9 – I – 4 MO 2019
Matúš landed with a parachute on an island inhabited by two kinds of natives: the Honest ones, who always tell the truth, and the Liars, who always lie. Before landing he glimpsed in the distance a harbour, to which he intended to get. At the first crossr - 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
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