System of equations - high school - practice problems - page 17 of 44
Number of problems found: 878
- Parallel and orthogonal
I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors) Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w - Before 14221
Peter and Eve read the same book. Petra read 14 pages a day, so she read it a day before Eva, who read 12 pages a day. How many pages did the book have? - System: 14033
Solve the system: 15x + 30y = -20 0.3x-0.2y = 0.4 - One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma.
- Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Backyard 13871
Dogs and geese ran around the backyard. Together they had 12 heads and 30 legs. How many geese ran around the backyard, and how many dogs? - Collection 13863
Vendelín has 4/5 the number of colored pencils. But if Maruška took 1/2 of it, there would be 20 crayons left. How many crayons were still in the penalty before Vendelín's collection? - Pinwheels 13751
Mom bought desserts for her birthday party. The pinwheel cost CZK 14, and the Indian women CZK 11. She paid 201 crowns for 15 desserts. How many pinwheels did she buy, and how many Indians? - Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC.
- The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get? - Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think. - Together m+w
Women are 30%. Men are 360 more. How many are together? - Stones 3
Simiyu and Nasike each collected a number of stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If, initially, Simiyu had five stones less than Nasike, how many stones did each have? - Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in
- Students 12731
The 32 quartet students were divided into two classes during the game. After the first round, four students moved from the first class to the second, so half the number of students in the second class were in the first class during the first round. How we - Rectangle field
The field has a shape of a rectangle, having a length of 119 m and a width of 19 m. , How many meters have to shorten its length and increase its width to maintain its area and circumference increased by 24 m? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - An animal shelter
An animal shelter costs $5.50 per day to care for each bird and $8.50 per day for each cat. On Wednesday, Nicole noticed the shelter spent $283.00 caring for birds and cats. Nicole found a record showing a total of 40 birds and cats on Wednesday. How many - Cooperative 11981
According to the plan, the cooperative secured 210 tons of silage for the winter. However, it then bought 10 heads of cattle, so it was necessary to reduce the amount of silage by half a ton per head. How many tons of silage did the cooperative initially
Do you have homework that you need help solving? Ask a question, and we will try to solve it.