I really need help on this please help asap if u canmagine you’re working in the kitchen to make cookies for an upcoming bake sale. You need to bake eight dozen total. Your first two batches each take about 30 minutes to mix and bake, but by your third and fourth batches your measuring and mixing have become a lot faster, and you can consistently finish a batch in 20 minutes. Assuming you’ll continue at the same pace, outline the steps it would take to create a word model, create an equation, and then solve the problem to figure out how many hours it will take you to make all eight dozen.
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Answer:
Step-by-step explanation:
To create a word model, equation, and solve the problem of how many hours it will take to make all eight dozen cookies, follow these steps:
**Step 1: Define Variables**
- Let M represent the number of minutes needed to mix and bake each batch.
- Let B represent the number of batches.
**Step 2: Set Up the Word Model**
- In the first two batches, you spend 30 minutes on each batch, so you have 2 batches * 30 minutes/batch = 60 minutes for those batches.
- For the remaining batches (batch 3 and onwards), you spend 20 minutes on each batch.
So, the total time T in minutes for all B batches can be represented as follows:
**T = 60 (minutes) + (B - 2) * 20 (minutes)**
**Step 3: Convert to Hours**
- Since there are 60 minutes in an hour, you need to convert the total time T from minutes to hours. Divide T by 60:
**T (hours) = [60 + (B - 2) * 20] / 60**
**Step 4: Solve for B**
- You want to make a total of 8 dozen (8 x 12) cookies, which is 96 cookies. Each batch makes one dozen (12) cookies.
So, set up an equation for the number of batches needed to make 96 cookies:
**B * 12 = 96**
Now, solve for B:
**B = 96 / 12 = 8 batches**
**Step 5: Substitute B into the Time Equation**
- Now that you know you need 8 batches, substitute this value into the time equation:
T (hours) = [60 + (8 - 2) * 20] / 60
**Step 6: Calculate the Total Time in Hours**
- Simplify and calculate the total time T in hours:
T (hours) = [60 + 6 * 20] / 60
T (hours) = [60 + 120] / 60
T (hours) = 180 / 60
T (hours) = 3 hours
So, it will take you a total of 3 hours to make all eight dozen cookies for the bake sale.
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Answer:
5.66038
Step-by-step explanation:
Given
Mean= μ=100
SD= σ=5.3
Z-score of 130= ?
The z-score of any value tells us that how many standard deviations that value is from the average or mean.
The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.
z-score= (x- μ)/σ
z-score of 130= (130-100)/5.3
=30/5.3
=5.66038
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3/2cm x 1/2cm x 4cm
3cm^3 is your answer.
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Answer
Find out the how far has Rita hiked .
To prove
Let us assume that the rita hiked distance be x.
As given
rita is hiking along a trail that is 13.7 miles long.
she has hiked along of this trail.
Than the equation becomes
x = 1.37 miles
Therefore Rita hiked 1.37 miles of the a trail that is 13.7 miles long.
Answer:
Rita hiked 1.37 miles of the trail