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Questions in Grade College

📝 Answered - $\begin{aligned} y & =5 x-1 \\ -15 x-3 y & =3 \end{aligned}$ How many solutions does this linear system have? A. one solution: $(0,-1)$ B. one solution: $(1,4)$ C. no solution D. infinite number of solutions

📝 Answered - Antoine has $18.20 to spend on some oranges and a pumpkin. Oranges cost $1.30 per pound, and a pumpkin costs $5.20. The inequality [tex]$1.30 x+5.20 \leq 18.20$[/tex] models this situation, where [tex]$x$[/tex] is the number of pounds of oranges. Solve the inequality. How many pounds of oranges can Antoine buy? A. [tex]$x \leq 10$[/tex]; Antoine can buy 10 pounds or less of oranges. B. [tex]$x \leq 8$[/tex]; Antoine can buy 8 pounds or less of oranges. C. [tex]$x \geq 8$[/tex]; Antoine can buy 8 pounds or more of oranges. D. [tex]$x \geq 10$[/tex]; Antoine can buy 10 pounds or more of oranges.

📝 Answered - John Dickinson sparked the protest against the Sugar Act in his Letters from a Pennsylvania Farmer. A. True B. False

📝 Answered - Which of the following statements are true? (Select all that apply.) A. Harassers and victims can be men or women, who are not necessarily of the opposite sex. B. Harassers and victims can hold any job at your school. C. If affected by sexual harassment, you're considered a victim. D. Sexual harassment can occur even when you're not at school. E. Unlawful sexual harassment requires being discharged or suffering financial injury.

📝 Answered - Prove that there are no nonzero integers [tex]$a, b, c$[/tex] such that [tex]$a^2+b^2=3 c^2$[/tex]. (Hint: By studying the equation [tex]$[a]_4^2+[b]_4^2=3[c]_4^2$[/tex] in [tex]$Z / 4 Z$[/tex], show that [tex]$a, b, c$[/tex] would all have to be even. Letting [tex]$a=2 k, b=2 \ell, c=2 m$[/tex], you would have [tex]$k^2+\ell^2=3 m^2$[/tex]. What's wrong with that?)

📝 Answered - According to the article, which of the following statements about the Dutch Disease are correct? Check all that apply. A. As soon as a country's resource revenues begin to rise, the Dutch Disease is imminent. B. Increased demand for nontraded goods increases prices in the nontraded goods sector, which boosts the real exchange rate. C. The Dutch Disease can be cured by allowing manufacturing jobs to move freely to other countries. D. When a country's currency appreciates, its manufacturing sector quickly gains competitiveness.

📝 Answered - A board that measures [tex]\frac{3}{4}[/tex] feet long is cut into 6 pieces. What is the length of each piece? A. [tex]1 \frac{1}{2}[/tex] inches B. 3 inches

📝 Answered - Write $\frac{x+5}{13}+\frac{x+2}{26}$ as a fraction in its simplest form.

📝 Answered - Annuity share class C. After 3 years, she surrenders the annuity so she can take the $100,000 and go on a lavish round-the-world vacation. If her annuity is typical for share class C, how much will she pay in surrender charges?

📝 Answered - Solve for $b$. $\frac{b}{5}=4$