Equations practice problems - page 88 of 237
Number of problems found: 4721
- Grandma
We're going to Grandma's. We still have 24 km left. How far does Grandma live if we have traveled from the total distance: half, a third, a fifth? - 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 - Please
Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - Grandchildren 33491
Grandma is 72 years old. It's four times the sum of the ages of her two grandchildren. The age of the older of them is twice of a younger grandson. How old is your younger grandson? - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations - Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6 - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
- Statistical XY file
Year; money spent on advertising; profit (three values each row) 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equat - Inequality: 33081
Write the smallest natural number satisfying the inequality: 5. (2x-1) - Marketing
Year; money spent on advertising; profit 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equation. - Increased 32723
If we subtract its sixth from the number's triple number, we get half of that number increased by 28. What is the number? - One-third 32693
Half of the imaginary number reduced by a quarter of the same number equals one-third of the largest two-digit number. What did the number mean? - Grandmother 32673
On a school trip, Šárka received pocket money from her grandmother for small expenses. On the first day, she spent 20% of it and was left with 320 CZK. Calculate the amount of Šárka's pocket money. - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area. - Original plan
Gardeners planted 16% more currant bushes than initially planned. In total, they planted x = 435 shrubs. What was the original plan?
- Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm - Fractions: 32541 Solve the following equation with fractions: (5x + 1) / 3 + (17-x) / 2 = (3x + 1) / 8 + 15
- Secondary school
Half the pupils want to study at the secondary school, 1/4 at the apprentice, and 1/6 at the grammar school. Three pupils do not like to learn. How many students are in the class? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Savings 32203 Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held?
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