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cluponka
1 month ago
12

Cody wants to attend the fall festival at school. The price of admission to the festival is $5.50 and each game cost additional

75 cents. If Cody has $15.00 to spend at the festival, whin adch Inequality can be used to solve for g, the number of games that he can play, and what is the maximum number of games he can play?
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0

The maximum number of games Cody can participate in is 13.

AnnZ [12.3K]1 month ago
3 0

Response:

Cody is able to engage in twelve games.

Step-by-Step Breakdown:

After paying the admission fee, the remaining amount Cody has is

= 15 - 5.5\\= 9.5\\

If each game costs 75\\ cents, then we need to calculate how many games can be played with 9.5\\ $.

= \frac{(9.5*100)}{75} \\= 12\\

Thus, the maximum number of games Cody can play is twelve.

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The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each
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Answer:

Step-by-step explanation:

Denote the rectangular prism's volume as VR and the volume of the right triangular prism as VT. Given that the rectangular prism's volume exceeds that of the triangular prism by 32 cubic feet, we establish that VR = 32 + VT.

Calculating VR: VR = length * width * height = 6*x*3.

This simplifies to VR = 18x ft³.

For the triangular prism, VT can be calculated as Length * width * Height / 2, yielding VT = (7 * x * 4) / 2.

Thus, VT = 28x / 2, which simplifies to VT = 14x ft³.

Equating VR to 32 + VT allows the substitution: 18x = 32 + (14x).

Now, simplify the equation:

Combine like terms: 18x - 14x = 32.

This results in 4x = 32.

Dividing both sides by 4:

x = 8.

The volume for the rectangular prism comes to 18x, which equals 18*8.

The volume of the rectangular prism calculates to 144 ft³.

The volume for the right triangular prism calculates to 14x, which equals 14*8.

The volume of the right triangular prism calculates to 112 ft³.

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