Answer:
C = 8 + 3x
The rate of change in the above equation is 3 dollars per game and it interpret the cost per game.
The initial value in the above equation is 8 dollars, which interpret the entry fee that every one person has to pay to enter the fair.
Step-by-step explanation:
Let the admission cost of the fair is $x and each game is $3.
Now, Steven went to the state fair, played 4 games and spent a total of $20 on admission and games.
So, we can write 20 = x + 4 × 3 {As the relation is linear}
⇒ x = $8
Therefore, the admission cost in the fair is $8.
Therefore, the equation that models the situation is
C = 8 + 3x ............ (1)
Where C is the total cost and x is the number of games played.
So, the rate of change in equation (1) is 3 dollars per game and it interprets the cost per game.
Again, the initial value in equation (1) is 8 dollars, which interprets the entry fee that each person has to pay to enter the fair. (Answer)
Answer:
16 rotations.
Step-by-step explanation:
We have been given that Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.
To find the number of rotations we will divide length of ramp by 32 as distance covered by wheels in one rotation will be equal to 32 cm.
![\text{Number of rotations}=\frac{500}{32}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20rotations%7D%3D%5Cfrac%7B500%7D%7B32%7D)
Therefore, each wheel must make 16 rotations while Shawn is coasting down the ramp.
Answer:I think it is y= 25X + 200 or it is y=25x- 200
Step-by-step explanation:
Answer:
![\frac{1}{9}\text{ gallon}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D%5Ctext%7B%20gallon%7D)
Step-by-step explanation:
Given,
The total amount of the tomato sauce =
gallon,
The number of parts in which this amount is split = 6,
∵ Each part is equal,
Thus, the amount in each portion = ![\frac{\text{Total amount}}{\text{number of parts}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20amount%7D%7D%7B%5Ctext%7Bnumber%20of%20parts%7D%7D)
![=\frac{\frac{2}{3}}{6}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B3%7D%7D%7B6%7D)
![=\frac{2}{18}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B18%7D)
![=\frac{1}{9}\text{ gallon}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%5Ctext%7B%20gallon%7D)
The amount of heat (in KJ) released when 3.5 moles of CH₄ react is 3115 KJ
<h3>Balanced equation</h3>
CH₄ + 2O₂ -> CO₂ + 2H₂O ΔH = 890 KJ
From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy.
<h3>How to determine the heat energy released by 3.5 moles of CH₄</h3>
From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy
Therefore,
3.5 moles of CH₄ will react ro release = 3.5 × 890 = 3115 KJ of heat energy
Thus, 3115 KJ of heat energy were released from the reaction
Learn more about enthalpy change:
brainly.com/question/11967318
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