Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
Answer:$205-ddd=$160
Step-by-step explanation:
It just depends on the grade level but that is a standard equation. The ddd would stand for dollars spent at the park. If you did $205-$160 you’d get $45. So she would have spent $45 at the park :)
