Questions in mathematics

Questions in mathematics

📝 Answered - Find the sum $6 y \sqrt{a}+7 y \sqrt{a}$.

📝 Answered - Given that [tex]$\log _b(6) \approx 1792, \log _b(9) \approx 2.197$[/tex], and [tex]$\log _b(15) \approx 2.708$[/tex], find [tex]$\log _b \frac{1}{54}$[/tex] [tex]$\log _b \frac{1}{54} \approx$[/tex] (Simplify your answer. Round to the nearest thousandth.)

📝 Answered - Convert $12_{10}$ to binary number.

📝 Answered - $30 \div \frac{1}{3} \times \frac{1}{3}$

📝 Answered - $2 x+y=8$ and $x-y=1$. Solve by substitution method.

📝 Answered - Use the basic proportion [tex]\frac{P}{100}=\frac{A}{B}[/tex] to solve the following problem for the unknown quantity. Round your answer to the nearest tenth, if necessary. ___% of 100 is 24.

📝 Answered - What is a point-slope equation of the line with slope -13 that goes through the point $(5,7)$? A. $y+7=-13(x+5)$ B. $y-7=-13(x-5)$ C. $y-5=-13(x-7)$ D. $y+5=-13(x+7)$

📝 Answered - $\frac{5^x-5^{x-1}}{4 \times 5^{x-1}}$

📝 Answered - Consider the system of equations: [tex] \begin{array}{l} y=-2 x+4 \\ 3 y+x=-3 \end{array} [/tex] Which statement is true of this system of equations? A. Both equations are in slope-intercept form. B. The first equation converted to slope-intercept form is [tex]$y+2 x=4$[/tex]. C. The second equation converted to slope-intercept form is [tex]$y=-\frac{1}{3} x-$[/tex]. D. Neither equation is in slope-intercept form.

📝 Answered - Rahul solved the equation $2\left(x-\frac{1}{8}\right)-\frac{3}{5} x=\frac{55}{4}$. In which step did he use the addition property of equality? Rahul's Solution | Steps | Resulting equations | | :---- | :------------------ | | 1 | $2 x-\frac{1}{4}-\frac{3}{5} x=\frac{55}{4}$ | | 2 | $\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}$ | | 3 | $\frac{7}{5} x=\frac{56}{4}$ | | 4 | $x=10$ | A. Step 1 B. Step 2 C. Step 3