Questions in mathematics

Questions in mathematics

[Jawaban] It cost Sophia $530 to make wind chimes. How many wind chimes must she sell at $12 each to make a profit?

[Jawaban] Which of these ordered pairs is a solution to the linear inequality \( y - 3x \leq -8 \)? A. \((-2, 4)\) B. \((1, 3)\) C. \((1, -5)\) D. \((3, 4)\)

[Jawaban] What is the value of \( x \) in this equation? \[ \sqrt{3\sqrt{x+1}} = \sqrt{3x-5} \]

[Jawaban] Solve each equation for \( y \). 1. \(-6x + y = 11\) 2. \(8x + 2y = 10\) 3. \(6x - 3y = -9\) 4. \(-4x + 2y = 16\) 5. \(10x - 5y = 25\) 6. \(3x + 2y = -8\)

[Jawaban] What is an expression equivalent to [tex]15 + 35[/tex]?

[Jawaban] What is [tex]\frac{35}{100}[/tex] reduced, and how do I reduce it?

[Jawaban] You are getting a larger aquarium for your neon tetra fish and you also want to add more tetras to the larger aquarium. The general rule is that each fish needs 2 gallons of water. You currently have 6 neon tetras. If you buy a 20-gallon aquarium, what are the possible numbers of fish you can put in your aquarium? Explain your answer.

[Jawaban] Write the equations of five lines that are parallel to [tex]y = \frac{x}{2} - 6[/tex]. (Note: Parallel lines have the same slope. Therefore, the slope of each line should be [tex]\frac{1}{2}[/tex].) 1. [tex]y = \frac{x}{2} + c_1[/tex] 2. [tex]y = \frac{x}{2} + c_2[/tex] 3. [tex]y = \frac{x}{2} + c_3[/tex] 4. [tex]y = \frac{x}{2} + c_4[/tex] 5. [tex]y = \frac{x}{2} + c_5[/tex] Where [tex]c_1, c_2, c_3, c_4,[/tex] and [tex]c_5[/tex] are constants that can be chosen to give different y-intercepts for each line.

[Jawaban] Out of 30 students surveyed, 17 have a dog. Based on these results, predict how many of the 300 students in the school have a dog.

[Jawaban] Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua's hives, how many hives does Joshua have in all?