Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate, how many minutes will it take her to only have 30 weeds remaining in the garden?(3 points)
Equation:
Solution:
Meaning of the solution in words:
Let's denote the number of minutes it will take for Grandma to have only 30 weeds remaining in the garden as "x".
Since Grandma can remove 5 weeds per minute, the number of weeds she will remove in "x" minutes is 5x.
If there are currently 250 weeds in the garden, and Grandma removes 5x weeds, then the number of weeds remaining after "x" minutes is 250 - 5x.
We want the number of remaining weeds to be 30, so we can set up the equation:
250 - 5x = 30
To solve for "x", we can rearrange the equation:
5x = 250 - 30
5x = 220
x = 220/5
x = 44
Therefore, it will take Grandma 44 minutes to only have 30 weeds remaining in the garden.
13. The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
(4 points)
Responses
First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.
First step is to add 32 to both sides.
First step is to add 32 to both sides.
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.
To solve this equation for C, you would have to distribute at some point.
The correct steps to solve the formula F = 95C + 32 for C are:
1. Subtract 32 from both sides: F - 32 = 95C
2. Divide both sides by 95: (F - 32) / 95 = C
or C = (F - 32) / 95
So, the correct solution is C = (F - 32) / 95.
The statement "To solve this equation for C, you would have to distribute at some point" is incorrect. There is no need to distribute in this equation.
you can choose more than one and your wrpng that is not anwer choice
Apologies for the confusion.
The correct steps to solve the formula F = 95C + 32 for C are:
1. Subtract 32 from both sides: F - 32 = 95C
2. Divide both sides by 95: (F - 32) / 95 = C
So, the correct solution is C = (F - 32) / 95.
The statement "To solve this equation for C, you would have to distribute at some point" is incorrect. There is no need to distribute in this equation.
Equation:
Let x be the number of minutes it takes Grandma to remove the weeds.
250 - 5x = 30
Solution:
To find the value of x, we need to solve the equation.
First, subtract 250 from both sides of the equation:
-5x = 30 - 250
Simplify:
-5x = -220
Next, divide both sides of the equation by -5:
x = -220 / -5
Simplify:
x = 44
Therefore, it will take Grandma approximately 44 minutes to only have 30 weeds remaining in the garden.
Meaning of the solution in words:
Grandma estimates that there are currently 250 weeds in the garden and she can remove 5 weeds per minute. By using this rate, it will take her approximately 44 minutes to remove enough weeds so that only 30 will remain in the garden.
To solve this problem, we can use the equation:
Number of weeds remaining = Number of weeds initially - (Rate of weed removal x Time taken)
We are given that there are 250 weeds initially, and Grandma can remove weeds at a rate of 5 per minute. Let's assume it takes "t" minutes to remove the weeds.
Plugging in the given values into the equation, we have:
30 = 250 - (5 x t)
Now, let's solve for "t".
First, subtract 250 from both sides:
30 - 250 = -5t
=> -220 = -5t
Next, divide both sides by -5 to solve for "t":
-220 / -5 = t
44 = t
Therefore, it will take Grandma approximately 44 minutes to remove enough weeds to only have 30 remaining in the garden.