Questions in mathematics

Questions in mathematics

[Jawaban] How do I solve this system of equations by elimination? \[ \begin{align} 5x + y &= 0 \\ 5x + 2y &= 30 \end{align} \]

[Jawaban] Sonya found that [tex]x = -\frac{4}{3}[/tex] is one solution of [tex](6x + 4)^2 = 0[/tex]. The other solution is [tex]x = ?[/tex].

[Jawaban] Solve for x in the equation: \[4x + 8 = 7\] I got \(-\frac{1}{4}\) but I'm not sure if you drop the negative when dividing.

[Jawaban] If you know that \(8 \times 300 = 2,400\), how can you find \(8 \times 320\)? Explain.

[Jawaban] Tony spent $60.54 and bought 3 packs of notebooks and a calculator. How much does a pack of notebooks cost if a calculator costs $45.87?

[Jawaban] Solve the equation for \( t \). \[ 5t - 8 = 3t + 12 \]

[Jawaban] What is 467% changed to a fraction?

[Jawaban] At a pet store, the ratio of cats to dogs sold was 10:1. If 60 cats were sold, how many dogs were sold?

[Jawaban] A school play sells adult and child tickets. On Friday, they sold 55 child tickets and 20 adult tickets for $200. On Saturday, they sold 72 child tickets and 36 adult tickets for $306. What is the cost of each individual ticket? Please show your work for the following answers: 1. $1 per child ticket and $7.25 per adult ticket 2. $1 per child ticket and $6.50 per adult ticket 3. $2 per child ticket and $4.50 per adult ticket

[Jawaban] Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and on this new map, he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?