Questions in mathematics

Questions in mathematics

📝 Answered - Zorah, a musician, pays $[tex]120[/tex] to have her instrument tuned and $[tex]10[/tex] per hour for a booth at a fair. She estimates that she earns $[tex]25[/tex] per hour in tips. The equation can be used to represent the break-even point. [tex]120+10 x=25 x[/tex] How many hours, [tex]x[/tex], will Zorah have to play in order to break even? A. 4 B. 5 C. 8 D. 12

📝 Answered - Solve $\frac{x}{2}+\frac{y}{3}=1$ for $x$. A. $x=3 y-2$ B. $x=-\frac{2}{3} y+2$ C. $x=\frac{2}{3} y \pm 3$ D. $x=-2 y-3$

📝 Answered - Find the surface area of the solid obtained by rotating [tex]f(x)=4 \sec \left(\frac{x}{2}\right)[/tex] around the x-axis over the interval [tex]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right][/tex]. Round your answer to the nearest thousandth.

📝 Answered - A buyer acquired a property with three acres. How many square feet does the property have? A) 27,878,400 B) 156,840 C) 43,560 D) 130,680

📝 Answered - Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. | | | :------------------ | :---------- | | Food | $ | | Personal items | $20 | | Cell Phone | $75 | | Entertainment | $85 | | Car Expenses - Gas, Insurance | $260 | | College Savings | $250 | Which of the following is true? A. No more than $70 can be spent on food. B. No more than $75 can be spent on food. C. No more than $80 can be spent on food. D. No more than $60 can be spent on food.

📝 Answered - $\left(18,500(.04 / 12)(1+.04 / 12)^{\wedge} 60\right) /\left((1+.04 / 12)^{\wedge} 60-1\right)$

📝 Answered - Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.

📝 Answered - \frac{2}{x^2-16}-\frac{1}{x^2-4 x}

📝 Answered - In triangle ABC, points D and E lie on sides AB and AC respectively such that DE is parallel to BC. If AD = x + 2, DB = 3x + 16, AE = x, and EC = 3x + 5, then the value of x is ____.

📝 Answered - P invested ₹ 5000 per month for 6 months of a year and Q invested ₹ x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives \(\frac{4}{9}\) of the total profit, what is the value of x (in ₹)? (A) 2500 (B) 3000 (C) 4687 (D) 8437