Solving Pot Roast & Math Problems: A Walkthrough

  • Context: MHB 
  • Thread starter Thread starter Cuberoot1
  • Start date Start date
Click For Summary
SUMMARY

This discussion focuses on solving mathematical problems related to cooking times for pot roasts and algebraic expressions. The cooking time formula is defined as h = 0.9p^0.6, where h is the cooking time in hours and p is the weight of the pot roast in pounds. If pot roast A weighs twice as much as pot roast B, then the cooking time for A is calculated by substituting the weight of A into the formula. Additionally, the algebraic expression (x^4-n • y^n+4 / xy^n-4)^2 is simplified using power rules to yield x^{2(4-n-1)} • y^{2(n+4-(n-4))}.

PREREQUISITES
  • Understanding of algebraic expressions and simplification techniques
  • Familiarity with power rules in mathematics
  • Knowledge of cooking time calculations based on weight
  • Ability to manipulate mathematical formulas
NEXT STEPS
  • Study the application of the formula h = 0.9p^0.6 in different cooking scenarios
  • Learn more about algebraic simplification techniques, particularly power rules
  • Explore mathematical modeling for cooking times based on various weights
  • Practice solving similar algebraic problems to enhance problem-solving skills
USEFUL FOR

Students, educators, and anyone interested in applying mathematical concepts to real-world cooking scenarios or improving their algebraic problem-solving skills.

Cuberoot1
Messages
4
Reaction score
0
Could somebody give me a walkthrough for this problem?

The number of hours h needed to cook a pot roast that weighs p pounds can be approximated by using the formula h = 0.9p^0.6.

b. If pot roast A weighs twice as much as pot roast B, then roast A should be cooked for a period of time that is how many times longer than the time required for roast B to cook?

Also.

I'm stuck in this problem.

( x^4-n • y^n+4 / xy^n-4 )^2

I think this is next.

( x^4-n-n-4 • y^n+4-n-4 )^2

If I'm right, what now? If I'm wrong, what did I do wrong? If I could have written my problem in a better way that is easier to understand, then please tell me.
 
Mathematics news on Phys.org
Cuberoot said:
Could somebody give me a walkthrough for this problem?

The number of hours h needed to cook a pot roast that weighs p pounds can be approximated by using the formula h = 0.9p^0.6.

b. If pot roast A weighs twice as much as pot roast B, then roast A should be cooked for a period of time that is how many times longer than the time required for roast B to cook?
Good evening,

If $$h_B=0.9 \cdot p^{0.6}$$ then you only have to replace p by the weight of A relative to B. Afterwards simplify a little bit.

Also.

I'm stuck in this problem.

( x^4-n • y^n+4 / xy^n-4 )^2

I think this is next.

( x^4-n-n-4 • y^n+4-n-4 )^2

If I'm right, what now? If I'm wrong, what did I do wrong? If I could have written my problem in a better way that is easier to understand, then please tell me.

If you mean:

$$\left(\frac{x^{4-n} \cdot y^{n+4}}{x \cdot y^{n-4}}\right)^2$$

and you want to use the power rules then you should come out with

$$x^{2(4-n-1)} \cdot y^{2(n+4-(n-4))}$$

Simplify!
 
Last edited:

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
Replies
18
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 65 ·
3
Replies
65
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K