Refer to Problem 77. In getting my swimming pool ready for summer, I usually buy the following supplies. Use rounding to estimate the total cost: 8 boxes of baking soda at 89 cents per box; 20 gallons of bleach at $1.29 for 96 ounces; 8 pounds of chlorine stabilizer at $11.99 for a 4-pound bottle; and four 24-can cases of refreshments at 60 cents per can. 77. One of the most valuable uses of estimation is to roughly keep track of the total cost of items when shopping. Use rounding to estimate the total cost of the following items at a grocery store: 4 cans of green beans at 79 cents each; 8 cups of yogurt at 49 cents each; a 29-ounce steak at $5.80 per pound; 4 energy drinks at $1.29 each; and 100 ounces of mineral water at $3.08 per gallon. ( Hint: You may need to look up conversions for units of weight and volume.)
Refer to Problem 77. In getting my swimming pool ready for summer, I usually buy the following supplies. Use rounding to estimate the total cost: 8 boxes of baking soda at 89 cents per box; 20 gallons of bleach at $1.29 for 96 ounces; 8 pounds of chlorine stabilizer at $11.99 for a 4-pound bottle; and four 24-can cases of refreshments at 60 cents per can. 77. One of the most valuable uses of estimation is to roughly keep track of the total cost of items when shopping. Use rounding to estimate the total cost of the following items at a grocery store: 4 cans of green beans at 79 cents each; 8 cups of yogurt at 49 cents each; a 29-ounce steak at $5.80 per pound; 4 energy drinks at $1.29 each; and 100 ounces of mineral water at $3.08 per gallon. ( Hint: You may need to look up conversions for units of weight and volume.)
Solution Summary: The author estimates the total cost of the items using the round off method.
Refer to Problem 77. In getting my swimming pool ready for summer, I usually buy the following supplies. Use rounding to estimate the total cost: 8 boxes of baking soda at 89 cents per box; 20 gallons of bleach at $1.29 for 96 ounces; 8 pounds of chlorine stabilizer at $11.99 for a 4-pound bottle; and four 24-can cases of refreshments at 60 cents per can.
77. One of the most valuable uses of estimation is to roughly keep track of the total cost of items when shopping. Use rounding to estimate the total cost of the following items at a grocery store: 4 cans of green beans at 79 cents each; 8 cups of yogurt at 49 cents each; a 29-ounce steak at $5.80 per pound; 4 energy drinks at $1.29 each; and 100 ounces of mineral water at $3.08 per gallon. (Hint: You may need to look up conversions for units of weight and volume.)
This is advanced mathematics question that need detailed solutions
Question:
Let F be a field. Prove that F contains a unique smallest subfield, called the prime subfield, which is
isomorphic to either Q or Zp for some prime p.
Instructions:
•
Begin by identifying the identity element 1 € F.
•
Use the closure under addition and inverses to build a subring.
•
•
•
Show that either the map ZF or Q →F is an embedding.
Prove minimality and uniqueness.
Discuss the characteristic of a field and link it to the structure of the prime subfield.
Topic: Group Theory | Abstract Algebra
Question:
Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe
the number of Sylow subgroups for each.
Instructions:
•
Use Sylow's Theorems (existence, conjugacy, and counting).
•
List divisors of 45 and compute possibilities for n for p = 3 and p = 5.
Show that if n = 1, the subgroup is normal.
Conclude about group structure using your analysis.
Chapter 1 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
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