Equations practice problems - page 40 of 248
Number of problems found: 4950
- Petr card piles
Peter divided 32 playing cards into two piles. He found that one pile had three times as many cards as the other. How many cards were in each pile? - Pupils - class
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Find the number of girls. - Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Volleyball tournament teams
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Hop picker hiring
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days? - Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Boxes
In a white box there are only white balls, in a green box there are only green balls, and in a blue box there are only blue balls. There are 12 white balls and 60 blue ones. Into the white box we transfer from the green and from the blue boxes such a numb - Pavel Petra age
The sisters Paul and Patricia are 29 years old together. Paula is 3 years younger than Patricia. HOW old is Pavle? Thank you very much. - Car rental tariff
Mr. Rezek wants to rent an Opel Corsa car for one day. He can choose from two rental tariffs: Tariff 1: Daily flat rate of CZK 1,400. Tariff 2: Daily rental 360 CZK plus 4.50 CZK for each kilometer driven. For what number of kilometers driven is it more f - Stream cleaning days
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Sale of eggs
Mrs. Slepičková sells at the marketplace home eggs in small boxes of 6 pieces and in large boxes of 10 pieces. Over the weekend she sold three times more small boxes than large ones, and at a price of 5 Kč per egg she took in 1680 Kč. For the boxes no pay - Apartment cleaning together
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part book series about hockey. Each book in the series costs the same amount. He had only 80% of the price for the first and second volumes. Grandma paid the remaining amount for the first two volumes and 60% of the price for t - Car dealer customers
A car dealer found that 1/2 of his customers bought French, 1/3 of German, and 1/6 (20) American cars. How many customers did the car dealer have? - Eco-team
The student eco-team at an elementary school pledged to plant a total of 78 trees over three spring months, as the school is celebrating its 78th anniversary. In the second month, they planted half as many trees as in the first month, and in the third mon - In plane 2 Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1. a) Determine the value of x. b) Determine the coordinates of point M, the midpoint of segment AB. c) Prove that vectors AB and CM are perpendi
- Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Phone call average
A monthly fee of 60 crowns is paid for the phone and 3 crowns for each call. How many calls did we have when one call cost us an average of 4 crowns and 20 pennies? - Trapezoid angle sizes
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA?
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