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?
Equation: ?
Solution: ?
Meaning of the solution in words: ?
Let x be the number of minutes it takes grandma to remove 30 weeds from her garden.
The number of weeds remaining after x minutes is 250 - 5x.
We want to find x when the number of remaining weeds is 30.
So we set up the equation: 250 - 5x = 30.
Solving for x, we get: 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.
Meaning of the solution in words: It will take grandma 44 minutes to remove enough weeds from her garden so that only 30 weeds are left.
The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
A. First step is to multiply by 9 on each side.
B. First step is to add 32 to both sides.
C. The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
D. The next step from F - 32 = 9/5 C, could be to divide both sides by 5
E. Solution: 5/9F - 32 = C
F. To solve this equation for C, you would have to distribute at some point.
The correct steps to solve the Celsius to Fahrenheit formula F = 95C + 32 for C are:
A. First step is to subtract 32 from both sides, not multiply by 9.
B. Second step is to divide both sides by 95, not add 32.
C. The next step from F - 32 = 9/5 C, could be to multiply both sides by 5/9, not multiply by 5.
D. The next step from F - 32 = 9/5 C, could be to multiply both sides by 5/9, not divide by 5.
E. Solution: C = (F - 32) * 5/9, not 5/9F - 32 = C.
F. To solve this equation for C, there is no need to distribute at any point.
Therefore, the correct steps and solution are:
1. Start with the formula: F = 95C + 32.
2. Subtract 32 from both sides: F - 32 = 95C.
3. Divide both sides by 95: (F - 32) / 95 = C.
4. Solution: C = (F - 32) / 95.
None of the options provided are correct.
F = 9/5C + 32
To solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C, you can follow these steps:
A. First step is to subtract 32 from both sides.
B. The next step could be to multiply both sides by 5/9.
The correct solution is:
F - 32 = (9/5)C
(Correct)
To isolate C, subtract 32 from both sides:
F - 32 = (9/5)C
F - 32 - 32 = (9/5)C - 32
F - 64 = (9/5)C
Then, multiply both sides by 5/9:
(5/9)(F - 64) = (5/9)(9/5)C
(5/9)(F - 64) = C
The correct solution for C is:
C = (5/9)(F - 64)
None of the options provided in the question are entirely accurate.
which ones are accurate?
The accurate steps to solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C are:
A. First step is to subtract 32 from both sides.
B. The next step could be to multiply both sides by 5/9.
Therefore, options A and B are accurate.
what is the solution
The solution to the formula F = (9/5)C + 32 for C is found by following the accurate steps:
1. Start with the equation F = (9/5)C + 32.
2. Subtract 32 from both sides: F - 32 = (9/5)C.
3. Multiply both sides by 5/9: (5/9)(F - 32) = C.
Therefore, the solution for C is:
C = (5/9)(F - 32)
This equation allows you to convert Fahrenheit temperatures to Celsius.
Izzie is trying to solve this inequality: 3 (t + 1) − 4t ≥ −5
After she solves it, she shows it to you and asks you if she did it correctly.
This is the work she completed:
Step 1: 3t + 3 − 4t ≥ −5
Step 2: −t + 3 ≥ −5
Step 3: −t ≥ −2
Step 4: t ≤ 2
Izzie should not have changed the inequality symbol from ≥
to ≤ (True or false)
Izzie made a mistake going from step 1 to step 2 (True or false)
Izzie made no mistakes in solving this inequality (True or false)
Izzie made a mistake going from step 3 to step 4 (True or false)
Izzie made a mistake going from step 2 to step 3 (True or false)
The correct answer should have been t ≤ 8 (True of false)