Equations practice problems - page 151 of 236
Number of problems found: 4717
- Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Pair of numbers
What is the value of the smaller of a pair of numbers for which their sum is 78, and their division quotients are 0.3? - Two brothers
Two brothers want to collect 20 kg of chestnuts. If only Marek collected, he would make it in 30 minutes. It would take Milan 10 minutes longer. How long after Mark does Milan have to start collecting to be finished in 18 minutes? - Challenging 6103
Jonas and Vojta went on a three-day hike on Friday. On the first day, they covered a fifth of the total route, on Saturday three-quarters of the challenging route, and had 20 km left for Sunday. What percentage of the total route did the boys cover in the - Numbers 6101
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y? - Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total? - Lecturers 6099
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w
- Map scale
The rectangular plot has a scale of 1:10000 and an area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - Quarters 6097
How many times are the three halves larger than eighty percent of the three quarters? - 13 tickets
A short and long sightseeing tour is possible at the castle. A ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour - Available 6094
There are a total of 110 beds in the hotel, which are available in single, double, and triple rooms, while there are three times more triple rooms than single rooms and twice as many double rooms as triple rooms. How many triple rooms are there in total i - Birthday 6092
Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now? - Five-crown 6091
The customer paid the amount of CZK 3,200 with the same 100-crown, two-crown and five-crown banknotes. How many banknotes did he use to pay the amount if he paid precisely the amount? - Consecutive 6090
The sum of four consecutive even numbers is equal to 108. Which of the numbers is equal to the smallest of these summands? - Girls
The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
- Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D. - Curve and 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. (2) Show that one of these points is also the stationary point of C? - Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - Playing
How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time, and we played football half the time? - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
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