Math Problem Statement
What are the answers
Solution
I see the image you've uploaded. I'll work through the answers to the problems in the image one by one.
Problem Solutions:
10. Mrs. Magee purchased 3 ice cream cones with a $10 bill. She received $2.86 in change. What is the price of one ice cream cone?
We can calculate the cost of the ice cream cones by subtracting the change from the total amount Mrs. Magee paid:
The total for 3 ice cream cones is $7.14. To find the price of one cone:
Answer: $2.38 per ice cream cone.
11. Solve the equation :
We need a common denominator to subtract these fractions. The least common denominator between 8 and 7 is 56.
Now subtract:
Answer:
12. The precipitation on Monday was inches, and on Tuesday it was inches. What is the combined precipitation?
Convert the mixed numbers to improper fractions:
We need a common denominator to add these fractions. The least common denominator is 4.
Now add:
Answer: inches.
14. Solve :
This is a simple addition of a positive and negative number.
Answer: 13.8
15. Solve :
Convert to have a denominator of 8.
Now add:
Answer:
16. Solve :
Subtracting a negative number is equivalent to adding:
Answer: 17.45
17. Sonia uses a gift card to purchase $5.87 of coffee each week for 3 weeks. What is the total change in the balance after 3 weeks?
Multiply the weekly cost by 3:
The total decrease in the gift card balance is $17.61.
Answer: , corresponding to option A.
18. A class is organizing a party and spends $26.38 on decorations, $78.92 on food, and $34.50 on a gift. There are 15 students. How much does each student owe?
First, find the total cost:
Now divide by 15 students:
Answer: $9.32, corresponding to option D.
Let me know if you'd like further explanations or have any additional questions.
Follow-up questions:
- How can you verify subtraction of fractions with different denominators?
- What steps are involved in solving equations with negative numbers?
- How do you convert between mixed numbers and improper fractions?
- Why does subtracting a negative number become addition?
- How does rounding affect calculations involving decimals?
Tip: When adding or subtracting fractions, always make sure the denominators are the same before proceeding.
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Math Problem Analysis
Mathematical Concepts
Subtraction of fractions
Addition and subtraction of decimals
Mixed numbers and improper fractions
Multiplication
Division
Formulas
Cost of one item = (Total amount paid - Change) / Number of items
Sum of fractions = a/b + c/d = (ad + bc) / bd
Addition of signed numbers
Improper fraction = Whole number + Fraction
Theorems
Fraction addition and subtraction requires a common denominator
Subtracting a negative number becomes addition
Suitable Grade Level
Grades 6-8