| Topic | Problem | Solution |
|---|---|---|
| None | According to an almanac, $80 \%$ of adult smokers… | Given that 80% of adult smokers started smoking before they turned 18, we can calculate the expecte… |
| None | The sum of two numbers is 89 . The difference of … | Let the larger number be represented by x and the smaller number by y. |
| None | Evaluate the function $f(x)=-x^{2}+2$ at the give… | The function \(f(x)\) is given as \(-x^{2}+2\). To find the value of the function at a specific poi… |
| None | Camden County College X Grades for Chandani Akhta… | Given the function \(f(x)=x-6\). |
| None | Solve for \( x \). Reduce any fractions mixed fra… | 4x + 4 \leq 9x + 8 |
| None | Solve the equation for $x$. \[ \frac{x+4}{2}=\fra… | The given equation is a simple linear equation. We can solve it by cross multiplying and then simpl… |
| None | Solve the inequality $4 x+6 \leq 3 x+11$ and sele… | The first step to solve the inequality $4 x+6 \leq 3 x+11$ is to isolate the variable $x$ on one si… |
| None | Solve the proportion. \[ \frac{8}{x}=\frac{4}{5} … | Cross multiply to get rid of the fractions: \(8 * 5 = x * 4\). |
| None | Solve the equation. \[ \frac{x}{3}+9=\frac{x}{3} … | The equation is \(\frac{x}{3}+9=\frac{x}{3}\). |
| None | Solve the oquetion. \[ 8(x-4)-4=2 x+6(x-5) \] Bel… | Distribute the multiplication across the parentheses: \(8x - 32 - 4 = 2x + 6x - 30\) |
| None | Use a change of variables to evaluate the followi… | Choose the correct change of variables from x to u. The correct choice is \(u = \sqrt{x} + 8\). |
| None | Find the value of $\mathrm{x}$ in the proportion.… | The given equation is a proportion, which means the two ratios are equal. To find the value of x, w… |
| None | Solve and check the equation. \[ \frac{7 x}{5}-3=… | The given equation is a linear equation in one variable. To solve for x, we need to isolate x on on… |
| None | State the name of the property illustrated. \[ (9… | The given equation is showing that the multiplication of 9 and the product of square root of 3 and … |
| None | State the name of the property illustrated. \[ 2(… | The given equation is showing that the multiplication of 2 with the sum of -8 and 7 is equal to the… |
| None | State the name of the property illustrated. \[ \s… | State the name of the property illustrated. \[\sqrt{2}+\sqrt{3}=\sqrt{3}+\sqrt{2}\] |
| None | A function value and a quadrant are given. Find t… | Given that \(\cot \theta = 4\) and \(\theta\) is in the third quadrant, we know that both sine and … |
| None | A rectangular box has length $16 \mathrm{ft}$, wi… | Given a rectangular box with length 16 ft, width 9 ft, and height 11 ft. |
| None | $\sin \theta=-\frac{12}{13}, \tan \theta<0$, find… | We are given that \(\sin \theta = -\frac{12}{13}\) and \(\tan \theta < 0\). |
| None | At noon, ship A is $170 \mathrm{~km}$ west of shi… | Let's denote the distance of ship A from the starting point (170 km west of ship B) as \(x\), the d… |
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