Question 1 A)(2 points) Sonny is collecting rare gems to add to his large collection. Sonny currently has 76 gems and would like to get to 100 gems by collecting an additional 4 gems per month. Write an equation and solve for the number of months it will take Sonny to collect 100 gems. Equation: Time it will take: Question 2 A)Jane is saving up to purchase her first bicycle. The new bike costs $185. Jane got $50 for her birthday and plans to put that towards the bicycle. To save the rest of the money, Jane plans to put asides an additional $15 per week until she has saved enough to purchase the bicycle. Write an equation that represents Jane’s savings towards earning her bicycle. Use w to represent the number of weeks.(1 point) Responses 15w+50=18515w+50=18515 w plus 50 is equal to 185 15w=18515w=18515 w is equal to 185 15w−50=18515w−50=18515 w minus 50 is equal to 185 50w+15=18550w+15=18550 w plus 15 is equal to 185 Question 3 A)Jason is removing weeds from his garden. He estimates that there are 250 weeds in his garden at the moment, and he can remove weeds at a rate of 5 per minute. At this rate how many minutes (m) will it take Jason to only have 30 weeds remaining in the garden?(3 points) Equation: Solution: Final Answer: Question 4 A)Write the equation that satisfies the parameters: two times the sum of a number and 24 equals the difference of 76 and that same number.(1 point) Responses 2x+24=x−762x+24=x−762 x plus 24 is equal to x minus 76 2(x+24)=x−762(x+24)=x−762 times open paren x plus 24 close paren is equal to x minus 76 2x+24=76−x2x+24=76−x2 x plus 24 is equal to 76 minus x 2(x+24)=76−x

Answer 1

Let's address each question one by one.

Question 1

A) Sonny is collecting rare gems.

Equation:
Let \( m \) be the number of months it will take. The equation to represent Sonny's gems over time is:
\[ 76 + 4m = 100 \]

Solving for m:
Subtract 76 from both sides:
\[ 4m = 100 - 76 \]
\[ 4m = 24 \]
Now, divide by 4:
\[ m = \frac{24}{4} = 6 \]

Time it will take:
6 months

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Question 2

A) Jane is saving up to purchase her first bicycle.

Equation:
Let \( w \) be the number of weeks. The equation is:
\[ 15w + 50 = 185 \]

Your prompt seems to contain the correct equation among the options listed: \[ 15w + 50 = 185 \]

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Question 3

A) Jason is removing weeds from his garden.

Current number of weeds: 250
Weeds remaining desired: 30
Weeds to remove: \[ 250 - 30 = 220 \]

Rate of removal: 5 weeds per minute.

Equation:
Let \( m \) be the minutes taken. The equation is:
\[ 5m = 220 \]

Solving for m:
Divide by 5:
\[ m = \frac{220}{5} = 44 \]

Final Answer:
44 minutes

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Question 4

A) Write the equation that satisfies the parameters.

Responses:
The correct formulation is:
\[ 2(x + 24) = 76 - x \]
This states that two times the sum of a number (x) and 24 equals the difference of 76 and that same number.

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If you have any further questions or need clarification, feel free to ask!

Answer 2

250+5m=30

Answer 3

It looks like you may want to modify the equation for Question 3 about Jason removing weeds.

However, the equation "250 + 5m = 30" does not correctly represent the situation. Instead, we should focus on the total number of weeds and how many he needs to remove.

Let's recap and correct that:

Jason’s Weeds

1. Current Number of Weeds: 250

2. Desired Number of Weeds Remaining: 30

3. Weeds to be Removed: \[ 250 - 30 = 220 \text{ weeds} \]

4. Rate of Removal: 5 weeds per minute.

5. Correct Equation: To find out how many minutes (m) it will take to remove 220 weeds, the correct equation is:
   \[ 5m = 220 \]

6. Solving for m: \[ m = \frac{220}{5} = 44 \]

Conclusion

• Final Answer: It will take Jason 44 minutes to reduce the number of weeds to 30.

If this isn't what you were looking for, please provide more context or clarify!

Answer 4

you can only choose
250 + 5m = 30
30 - 5m = 250
5m - 250 = 30
or
250 - 5m = 30

Answer 5

Thank you for providing the options. Based on the scenario where Jason has 250 weeds and wants to have only 30 remaining while removing weeds at a rate of 5 per minute, let's analyze the given options:

1. 250 + 5m = 30: This doesn't make sense because it suggests the number of weeds increases as time goes on.

2. 30 - 5m = 250: This implies that by removing weeds, you would be subtracting from 30 to somehow reach 250, which is incorrect.

3. 5m - 250 = 30: This implies that the amount of weeds removed (5m) is equal to 30 more than the current number of weeds (250). This also doesn’t fit our situation.

4. 250 - 5m = 30: This correctly represents that if you start with 250 weeds and remove \(5m\) weeds, you should be left with 30 weeds.

The correct choice based on the scenario provided is:

250 - 5m = 30

From this equation, you can solve for \(m\): \[ 250 - 5m = 30 \] Subtract 250 from both sides: \[ -5m = 30 - 250 \] \[ -5m = -220 \] Divide by -5: \[ m = \frac{-220}{-5} = 44 \]

Final answer: It will take Jason 44 minutes to have only 30 weeds remaining.