{"paper":{"id":"site-6846","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"variant":null,"exam_pdf":null,"key_pdf":null,"question_count":4,"source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-6846/zad/6875","paper_id":"site-6846","number":"6875","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Dana jest liczba dwucyfrowa a, w której suma cyfr jest równa 14. Jeżeli zamienimy miejscami jej cyfry, otrzymamy liczbę o 18 mniejszą od liczby sprzed tej zamiany cyfr. Oblicz liczbę a.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6846/zad-6875.svg","solution_image":"img/site/6846/rozw-6875.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6846/zad/6876","paper_id":"site-6846","number":"6876","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Pies goni lisa. Początkowa odległość między zwierzętami równa była 30 m. Długość każdego skoku psa jest równa 2 m, długość każdego skoku lisa jest równa 1 m. W czasie, w którym lis wykonuje trzy skoki, pies skacze dwa razy. Oblicz dystans, po przebiegnięciu którego pies dogoni lisa.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6846/zad-6876.svg","solution_image":"img/site/6846/rozw-6876.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6846/zad/6877","paper_id":"site-6846","number":"6877","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Suma liczb rzeczywistych a i b równa jest 527. Wiemy, że 8% liczby a jest równe 7,5% liczby b. Oblicz liczby a i b.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6846/zad-6877.svg","solution_image":"img/site/6846/rozw-6877.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6846/zad/6878","paper_id":"site-6846","number":"6878","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Rozwiąż układ równań {x^2+y^2-4x+4y-17=0; 2x-y-1=0","answer":null,"answer_text":null,"solution":null,"image":"img/site/6846/zad-6878.svg","solution_image":"img/site/6846/rozw-6878.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}