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Questions in Grade High-school

[Done] Billy has $90 to spend. He wants to buy a leather jacket for $45 and use the remaining money to purchase jeans. Write an inequality to represent the number of jeans he can purchase.

[Done] Solve the following equation. Determine if the equation is an "identity" or a "contradiction." -4t + 1 = 3t + 1 - 7t

[Done] A recipe for 1 lb of trail mix calls for 2.5 oz of chocolate pieces. How many ounces of chocolate pieces are needed to make 5 lb of trail mix? A. 0.5 oz B. 3.5 oz C. 7.5 oz D. 12.5 oz

[Done] What does it mean to solve for T in the equation [tex]A = P + PRT[/tex]?

[Done] Solve the following equation. Determine if the equation is an "identity" or a "contradiction." 2h + 4 – 5h = -3h + 4

[Done] For a rope obeying Hooke's law, show that the elastic potential energy stored in the rope is given by \[ E = \frac{1}{2} k x^2 \] where \( k \) is the elastic spring constant and \( x \) is the extension.

[Done] Solve the following equations: 1. \( 8^x = 2 \) 2. \( 4^x = 8 \)

[Done] A boat traveled 60 miles downstream and back. The trip Downstream took 3 hours. The trip back took 30 hours. What is the sleep of the boat in still water ? What is the speed of the current ?

[Done] What is the solution to the sentence: "A number decreased by -5 is at least 7"?

[Done] What was one consequence of Roman expansion beginning in 300 BCE?