Questions in mathematics

Questions in mathematics

📝 Answered - The female population of a village is 37496. The male population is 8867 more than the female population. What is the total population of the village?

📝 Answered - 2^{-1} \left[ \left(\frac{5}{2}\right)^4 + \left(\frac{3}{5}\right)^{-2} \right] \div \frac{17}{9} =

📝 Answered - (g) 405 + 15 × 7 - 175 ÷ 5 × 10 (h) 420 × 4 - 5 × 10 + 100 ÷ [12 × 5 - {10 + 8 × 30 ÷ (2 × 3)}] (9 + 12) ÷ 7 + 36 ÷ 2 × 3

📝 Answered - The function $f(x)=\frac{0,000+0.2 \lambda}{x}$ yields the average cost in dollars for a company to produce $x$ copies of a comic book. Which statement best fits the situation modeled by the function? A. The company earns 20% of the issue price as profit from each copy sold. B. The company earns 20 cents as profit from each copy sold. C. The company spends 20% of the issue price on materials to produce each copy. D. The company spends 20 cents on materials to produce each copy.

📝 Answered - You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires $1 \frac{5}{8}$ quarts of paint, and each chair requires $\frac{2}{3}$ quarts of paint. How many total quarts of paint should you bring to paint this furniture? A. $6 \frac{23}{24}$ B. $8 \frac{7}{12}$ C. $5 \frac{1}{3}$ D. $3 \frac{1}{4}$ E. $3 \frac{9}{11}$

📝 Answered - Consider [tex]$8^{x-4}=8^{10}$[/tex]. Because the $\square$ are equal, the $\square$ must also be equal. A. bases B. exponents C. equations D. variables

📝 Answered - Which one of the following formulas correctly expresses this statement: A quantity [tex]$x$[/tex] is equal to the sum of the squares of [tex]$a$[/tex] and [tex]$b$[/tex]? A. [tex]$x=2 a+2 b$[/tex] B. [tex]$x=\sqrt{a+b}$[/tex] C. [tex]$x=\sqrt{a b}$[/tex] D. [tex]$x=a^2+b^2$[/tex]

📝 Answered - Toby thinks of a number less than 15. He divides it by 2 and then adds 4. He then divides the result by 3. His answer is 3.5. What number did Toby start with?

📝 Answered - Heather is training for a long-distance run. Her data points listed below represent the days of practice, [tex]$x$[/tex], and the number of miles run, [tex]$y$[/tex]. [tex]$(1,2.5),(2,4.2),(4,5.6),(6,7),(8,8.1),(10,11)$[/tex] Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the nearest tenth of a mile. day 3 = [$\square$] miles

📝 Answered - What is the range of [tex]$y=\log _8 x$[/tex]? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers