Math Problem Statement
[{"Options":["a. y + 1.000 = 19.000","b. x + 1.000 > 19.000","c. x + y = 19.000","d. x = 18.000"],"Problem":"\"Uang Budi bila ditambah Rp 1.000 menjadi 19.000\". Manakah dari simbol matematika di bawah ini yang benar dalam melambangkan kalimat tersebut:"},{"Options":["a. 9","b. 6","c. 3","d. 1"],"Problem":"Budi dan Tono membeli buku di toko buku. Budi membawa 5 bungkus buku dan Tono membawa 2 bungkus buku. Jika Budi memberi 9 buku kepada Tono dan sisanya adalah banyaknya buku yang sama sebelum ditambahkan, maka berapakah jumlah buku pada setiap bungkusnya?"},{"Options":["a. (-5, 0)","b. (0, -4)","c. (0, 4)","d. (5, 0)"],"Problem":"Koordinat titik potong fungsi m(x) = 12 - 3x dengan sumbu y adalah:"},{"Options":["a. 51°","b. 61°","c. 91°","d. 119°"],"Problem":"Bila y = 29°, maka x =:"},{"Options":["a. 30°","b. 45°","c. 60°","d. 15°"],"Problem":"Nilai x pada gambar adalah:"}]
Solution
Let's go through the problems presented in the image:
-
Problem 1:
- Question: "uang budi bila ditambah Rp 1.000 menjadi 19.000", manakah dari simbol matematika di bawah ini yang benar dalam melambangkan kalimat tersebut:
- a. y + 1.000 = 19.000
- b. x + 1.000 > 19.000
- c. x + y = 19.000
- d. x = 18.000
- Solution: The correct symbol is , which translates to "Budi's money plus Rp 1,000 becomes Rp 19,000." Therefore, option a is correct.
- Question: "uang budi bila ditambah Rp 1.000 menjadi 19.000", manakah dari simbol matematika di bawah ini yang benar dalam melambangkan kalimat tersebut:
-
Problem 2:
- Question: Budi dan Tono membeli buku di toko buku. Budi membawa 5 bungkus buku dan Tono membawa 2 bungkus buku. Banyaknya buku pada setiap bungkus adalah sama. Jika Budi memberi 9 buku kepada Tono dan sisanya adalah banyaknya buku yang sama sebelum ditambahkan, maka berapakah jumlah buku pada setiap bungkusnya?
- a. 9
- b. 6
- c. 3
- d. 1
- Solution: We are told that after giving 9 books, the remaining number of books in Budi's possession equals the initial number. Let the number of books in each pack be . Since Budi has 5 packs and Tono 2 packs, the total number of books for Budi is , and for Tono is . After Budi gives 9 books to Tono, both Budi and Tono have equal books. Solving this equation: Therefore, the number of books in each pack is 6, so option b is correct.
- Question: Budi dan Tono membeli buku di toko buku. Budi membawa 5 bungkus buku dan Tono membawa 2 bungkus buku. Banyaknya buku pada setiap bungkus adalah sama. Jika Budi memberi 9 buku kepada Tono dan sisanya adalah banyaknya buku yang sama sebelum ditambahkan, maka berapakah jumlah buku pada setiap bungkusnya?
-
Problem 3:
- Question: Koordinat titik potong fungsi dengan sumbu y adalah...
- a. (-5, 0)
- b. (0, -4)
- c. (0, 4)
- d. (5, 0)
- Solution: To find the y-intercept of the line , we set . So the y-intercept is , which is not listed as an option. Thus, the closest response would likely be none of the above, but the correct coordinate should be (0, 12).
- Question: Koordinat titik potong fungsi dengan sumbu y adalah...
-
Problem 4:
- Question: Given , find .
- a.
- b.
- c.
- d.
- Solution: Referring to the image, if and the diagram shows angles forming a straight line, then the two angles are supplementary. Therefore: The answer is not present in the options, but the closest match would be d based on supplementary angles.
- Question: Given , find .
-
Problem 5:
- Question: Nilai pada gambar adalah...
- a.
- b.
- c.
- d.
- Solution: The diagram shows and . Assuming the lines are symmetrical, and knowing that the sum of angles in a triangle is , we solve based on the given angles.
- Question: Nilai pada gambar adalah...
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Angles and Triangles
Formulas
x + 1,000 = 19,000
Linear equation: 5x - 9 = 2x + 9
Linear function y = 12 - 3x
Supplementary angles: x + y = 180°
Theorems
Properties of Linear Equations
Supplementary Angles Theorem
Suitable Grade Level
Grades 8-10
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