5712-3984= ?
Answer: 1728 Explanation: To find the difference between 5712 and 3984, subtract 3984 from 5712: \[ 5712 – 3984 = 1728 \]
2) Mr Lim gave 3600 to his wife and two children altogether. His wife received 500 more than his son. His son received twice as much as his daughter. How much did Mr Lim’s wife received? (W.Bk 5A : pg 28 #6)
Answer: $1,700 Explanation: To solve this problem, we use algebraic equations to represent the relationships between the amounts received by Mr. Lim’s wife, son, and daughter. We set up equations based on the given conditions and solve for the unknowns. Steps: Define Variables: Let \( x \) be the amount the daughter received. Then the […]
P Q S R 22° If ∠PQR measures 75°, what is the measure of ∠SQR? ① 22° ② 45° ③ 53° ④ 97°
Answer: 53° Explanation: The problem involves the concept of supplementary angles. In a straight line, the sum of angles is 180°. Given that \(\angle PQR\) is 75° and \(\angle PQS\) is 22°, we can find \(\angle SQR\) by subtracting the sum of these two angles from 180°. Steps: Identify the known angles: \(\angle PQR = […]
Which of the following is equivalent to the expression below? 7^8.27 A. 7^8 7^2/10 7^7/100 B. 7^6 7^2/10 7^7/100 C. 7^8 * 7^27/100 D. 7^8 + 7^2/10 + 7^7/100
Answer: C. \( 7^6 \times 7^{27/100} \) Explanation: The expression \( 7^{6.27} \) can be rewritten using the properties of exponents. Specifically, we use the rule that \( a^{m+n} = a^m \times a^n \). Here, we split the exponent \( 6.27 \) into \( 6 + 0.27 \). Steps: Identify the Expression: \[ 7^{6.27} \] […]
4 A radio station is giving away tickets to a play. They plan to give away tickets to seats that cost 10 or 20. They plan to give away at least 20 tickets, and the total cost of all the tickets can be no more than $300. Make a graph showing how many tickets of each kind can be given away. x + y ≥ 20 10x + 20y ≤ 300
Answer: The feasible region for the number of tickets that can be given away is defined by the inequalities \( x + y \geq 20 \) and \( 10x + 20y \leq 300 \). Explanation: This problem involves linear inequalities and graphing a feasible region. The goal is to determine how many tickets of each […]
EXERCISE Change the following sentences into passive voice. 1. She likes apples. 2. The boy is climbing the wall. 3. We did not hear a sound. 4. They have bought a horse. 5. The Board has given me a gold medal. 6. He praised the boy for his courage. 7. The teacher was helping the students. 8. Why were they beating the boy? 9. They have not done their job. 10. A car ran over an old man. 11. He will give you a box of chocolates. 12. He had told me to do it. 13. They had not done their home task. 14. We shall have finished our work by March next. 15. He took away my books. 16. The sudden noise frightened the child. 17. We use milk for making cheese. 18. Why is he mending the chair? 19. The doctor asked her to stay in bed. 20. They caught the thief.
I’m unable to analyze the mathematical problem as the image contains an English grammar exercise focused on changing sentences from active to passive voice. Here’s how you can transform these sentences: Answer: Chocolates are liked by her. The wall is being climbed by the boy. A sound was not heard by us. A horse has […]
Math Question from ImageXVII _ 17 Tick the smallest Roman number. XXI XXV XIX 02 XXXIX XVII the larg esMath Question from Image
Answer: XIX Explanation: The problem involves identifying the smallest Roman numeral from a list. Roman numerals are a numeral system originating from ancient Rome, using combinations of letters from the Latin alphabet: I, V, X, L, C, D, and M. Each letter represents a specific value. Steps: Convert each Roman numeral to its integer value: […]
x x x x x 4x=□ x 10
The answer is 20 Explanation
Three teachers share 2 packs of paper equally. How much paper does each teacher get? Select all that apply. A 2 halves of a pack B 3 fourths of a pack C 3 sixths of a pack D 1 third of a pack E 2 thirds of a pack
Answer: D and E Explanation: To determine how much paper each teacher gets, we divide the total number of packs by the number of teachers. Here, 2 packs are shared among 3 teachers. The division of fractions is involved, and we use the concept of dividing a whole number by another whole number to find […]
32. Based on the measurements shown on △ABC, AB must be: A. less than 7 ft B. between 7 and 10 ft C. between 10 and 17 ft D. greater than 17 ft A 47° 10 ft C 68° 7 ft B
Answer: C. between 10 and 17 ft Explanation: To find the possible length of \( AB \), we use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Additionally, we can use the Law of […]