Answer: 2 Explanation: This problem involves the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The key here is to correctly interpret the division and multiplication signs and their order. Method/Theorem Used: Order of Operations (PEMDAS/BODMAS): Ensures correct sequence of calculations. Associativity of multiplication and division: Both are performed from left to right when at the same level. Steps: The original expression is: \[ 9 - 3 \div 3 \times \frac{1}{3} + 1 \] According to the order of operations, perform division and multiplication from left to right: First, compute $ 3 \div 3 $: \[ 3 \div 3 = 1 \] Next, multiply this result by $\frac{1}{3}$: \[ 1 \times \frac{1}{3} = \frac{1}{3} \] Now, substitute back into the expression: \[ 9 - \frac{1}{3} + 1 \] Perform subtraction and addition from left to right: Subtract $\frac{1}{3}$ from 9: \[ 9 - \frac{1}{3} = \frac{27}{3} - \frac{1}{3} = \frac{26}{3} \] Add 1 (which is $\frac{3}{3}$): \[ \frac{26}{3} + \frac{3}{3} = \frac{29}{3} \] Final result:\[ \boxed{\frac{29}{3}} \] However, since the options are typically simplified or expressed as a decimal, the approximate value is:\[ \frac{29}{3} \approx 9.666\ldots \] But if the question asks for a simplified fraction, the answer is $\frac{29}{3}$. If the options are integers, then the closest integer is 10, but based on the exact calculation, the precise answer is $\frac{29}{3}$.

What is the number who chose Italian dressing?

Answer: The number of customers who chose Italian dressing is 90. Explanation: This problem involves understanding the distribution of salad dressing choices among customers, which is represented by a circle graph (pie chart). The key concepts involved are percentage calculations and proportions. The problem asks to find the difference in the number of customers choosing Italian dressing and vinaigrette dressing, given the total number of customers and the percentage distribution. The method involves: Calculating the number of customers for each dressing based on the percentage. Finding the difference between the two numbers. Steps: Identify the total number of customers: Total customers = 200 Determine the percentage for Italian dressing: From the table, Italian dressing = 45% Calculate the number of customers who chose Italian dressing: \[ \text{Number of Italian dressing customers} = \frac{45}{100} \times 200 = 0.45 \times 200 = 90 \] Determine the percentage for Vinaigrette dressing: Vinaigrette = 30% Calculate the number of customers who chose Vinaigrette dressing: \[ \frac{30}{100} \times 200 = 0.30 \times 200 = 60 \] Find the difference between Italian and Vinaigrette dressing customers: \[ 90 - 60 = 30 \] Question asks for the difference between the number who chose Italian dressing and the number who chose vinaigrette dressing: The difference is 30. Note: The question also mentions the number who chose vinaigrette dressing, but the main calculation is to find the number for Italian dressing, which is 90.

Answer: 2 Explanation: This problem involves the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The key here is to correctly interpret the division and multiplication signs and their order. Method/Theorem Used: Order of Operations (PEMDAS/BODMAS): Ensures correct sequence of calculations. Associativity of multiplication and division: Both are performed from left to right when at the same level. Steps: The original expression is: \[ 9 - 3 \div 3 \times \frac{1}{3} + 1 \] According to the order of operations, perform division and multiplication from left to right: First, compute $ 3 \div 3 $: \[ 3 \div 3 = 1 \] Next, multiply this result by $\frac{1}{3}$: \[ 1 \times \frac{1}{3} = \frac{1}{3} \] Now, substitute back into the expression: \[ 9 - \frac{1}{3} + 1 \] Perform subtraction and addition from left to right: Subtract $\frac{1}{3}$ from 9: \[ 9 - \frac{1}{3} = \frac{27}{3} - \frac{1}{3} = \frac{26}{3} \] Add 1 (which is $\frac{3}{3}$): \[ \frac{26}{3} + \frac{3}{3} = \frac{29}{3} \] Final result:\[ \boxed{\frac{29}{3}} \] However, since the options are typically simplified or expressed as a decimal, the approximate value is:\[ \frac{29}{3} \approx 9.666\ldots \] But if the question asks for a simplified fraction, the answer is $\frac{29}{3}$. If the options are integers, then the closest integer is 10, but based on the exact calculation, the precise answer is $\frac{29}{3}$.

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9 – 3 ÷ 1/3 + 1 = ?

9 – 3 ÷ 1/3 + 1 = ?

Answer

Answer: 2

Explanation:
This problem involves the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The key here is to correctly interpret the division and multiplication signs and their order.

Method/Theorem Used:

Order of Operations (PEMDAS/BODMAS): Ensures correct sequence of calculations.
Associativity of multiplication and division: Both are performed from left to right when at the same level.

Steps:

The original expression is:

9 - 3 \div 3 \times \frac{1}{3} + 1

According to the order of operations, perform division and multiplication from left to right:

First, compute $3 \div 3$ :

3 \div 3 = 1

Next, multiply this result by $\frac{1}{3}$ :

1 \times \frac{1}{3} = \frac{1}{3}

Now, substitute back into the expression:

9 - \frac{1}{3} + 1

Perform subtraction and addition from left to right:

Subtract $\frac{1}{3}$ from 9:

9 - \frac{1}{3} = \frac{27}{3} - \frac{1}{3} = \frac{26}{3}

Add 1 (which is $\frac{3}{3}$ ):

\frac{26}{3} + \frac{3}{3} = \frac{29}{3}

Final result:

\boxed{\frac{29}{3}}

However, since the options are typically simplified or expressed as a decimal, the approximate value is:

\frac{29}{3} \approx 9.666\ldots

But if the question asks for a simplified fraction, the answer is $\frac{29}{3}$ . If the options are integers, then the closest integer is 10, but based on the exact calculation, the precise answer is $\frac{29}{3}$ .

Rename 4 thousands 7 hundred = 47

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