Kelly estimates it will take her 35 minutes to make the punch and 45 minutes

Kelly estimates it will take her 35 minutes to make the punch and 45 minutes to set up. Will Kelly finish before the guests arrive if she starts at 11:45 a.m? Explain your answer. (Kelly's guests will arrive at 1:30)

2 months ago

Solution 1

Guest Guest #3633
2 months ago
Kelly will have enough time to finish before the guests arrive because 45+35 = 1 hour and 10 mins, which adds that with 11:45, it would be 12:55 when she finishes. Making it possible.

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Equation 1: m = 8 + 2n Equation 2: 4m = 4 + 4n Step 1: βˆ’4(m) = βˆ’4(8 + 2n) 4m = 4 + 4n Step 2: βˆ’4m = βˆ’32 βˆ’ 8n 4m = 4 + 4n Step 3: βˆ’4m + 4m = βˆ’32 βˆ’ 8n + 4n Step 4: 0 = βˆ’32 βˆ’ 4n Step 5: n = βˆ’ 8 In which step did the student first make an error?Equation 1: m = 8 + 2n Equation 2: 4m = 4 + 4n Step 1: βˆ’4(m) = βˆ’4(8 + 2n) 4m = 4 + 4n Step 2: βˆ’4m = βˆ’32 βˆ’ 8n 4m = 4 + 4n Step 3: βˆ’4m + 4m = βˆ’32 βˆ’ 8n + 4n Step 4: 0 = βˆ’32 βˆ’ 4n Step 5: n = βˆ’ 8 In which step did the student first make an error? plz help
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In step 3 the student first made an error to add a term 4.

What is a linear equation of two variables?

Linear equation of two variables is an equation where the highest degree is 1 and the number of variables is 2.

for example: 2x+2y=9

Here, the given two equations are

Equation 1: m = 8 + 2n

Equation 2: 4m = 4 + 4n

To solve these equation multiply -4 on both sides in equation 1

Step 1:

Equation -1*4 : βˆ’4(m) = βˆ’4(8 + 2n)

Equation -2: Β 4m = 4 + 4n

Step 2:

Equation -1*4 : βˆ’4m = βˆ’32 βˆ’ 8n

Equation -2: 4m = 4 + 4n

Then add these two equations to eleminate the m terms.

Step 3:

Equation -1*4 + Equation -2 : βˆ’4m + 4m = βˆ’32 βˆ’ 8n +4+ 4n

In the question term 4 is missing to add in right hand side in step 3

Step-4: 0=-4n-28

taking variable term on one side and constant term on one side and then dividing the coefficient of the variable on both sides.

Step-5: n=-7

Therefore in step 3 the student first made an error to add a term 4.

Learn more about the linear equation of two variables

here: brainly.com/question/13544663

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Solution 2
The error can be found in step 3. The student forgot to add four which caused him to mess up on the rest of the steps.