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.

Home /
solutions /
Math /
Math Question from Image

Math Question from Image

Answer

It appears that the image provides a conceptual comparison between algebraic Expressions and Equations, rather than a specific mathematical problem to solve.

Answer:

The key concept illustrated is that Expressions are mathematical combinations of symbols that are true for all values of the variable, while Equations are statements that are true only for some specific values of the variable, and solving an equation involves finding those values.

Explanation:

This image emphasizes the fundamental difference between algebraic expressions and equations. Expressions are like “phrases” that do not have an equality sign and are valid for all values of the variable (e.g., $$8x + 5y - 3x - 5$$ ). Equations, on the other hand, contain an equality sign and are only true for certain values of the variable (e.g., $$5x + 4 = x$$ ). Solving an equation involves applying algebraic techniques to find the specific values of the variable that make the statement true.

Steps:

Since the image does not contain a specific problem to solve, I will outline the general methods involved:

For Expressions:

Recognize that expressions are simplified or expanded forms of algebraic formulas.
Example: Simplify $$8x + 5y - 3x - 5$$
Combine like terms:

$$ (8x - 3x) + 5y - 5 = 5x + 5y - 5 $$

For Equations:

To solve an equation like $$5x + 4 = x$$ ,
Isolate the variable $$x$$ by applying inverse operations:

$$ 5x + 4 = x $$

Subtract $$x$$ from both sides:

$$ 5x - x + 4 = 0 $$

$$ 4x + 4 = 0 $$

Subtract 4 from both sides:

$$ 4x = -4 $$

Divide both sides by 4:

$$ x = -1 $$

In summary, the key concepts involve simplifying algebraic expressions and solving algebraic equations using inverse operations and properties of equality.

Rename 4 thousands 7 hundred = 47

Michael, the art elective programme student, is working on another assignment. He designs a rectangular pattern measuring 45 mm by 42 mm. He is required to use identical rectangular patterns to form a square. The maximum area of the square allowed is 1.6m^2. (i) How many patterns does he need to form the smallest square? (ii) What are the dimensions of the largest square that he can form?

Which formula/name pair is incorrect? A) FeSO4 iron(II) sulfate B) Fe2(SO3)3 iron(III) sulfate C) FeS iron(II) sulfide D) FeSO3 iron(II) sulfide E) Fe2(SO4)3 iron(III) sulfide

Kavitha wanted to buy a laptop. She saved 1/3 of the cost of the laptop in the first month. In the second month she saved $125 less than what she saved in the first month. She saved the remaining $525 in the third month. How much did the laptop ost? enjamin bought tokens at a funfair. He used 3/8 of them at the ring-toss booth and 5 of the remaining tokens at the darts booth. He then bought another 35 tokens and d 10 tokens more than what he had at first. How many tokens did Benjamin have irst? e number of fiction books at a library was 3/4 of the total number of books. After fiction books were donated to the library, the number of fiction books became 5/6 e total number of books. How many books were there at the library at first?

Which division expression is shown in the model?

Identify the elements correctly shown by decreasing radii size. N3to N S->S2- N>N3- Cu2+>Cu+ K+>K

20.- The circle graph gives the distribution of salad dressing chosen by customers at a restaurant. If approximately 200 customers order salad each day at the restaurant, which of the following is closest to the difference per day between the number who choose Italian dressing, and the number who chose vinaigrette dressing? a) 10 Salad Dressing b) 20 Italian c) 30 Vinaigrette d) 50 Blue Cheese French

The table shows the results of tossing a chipped number cube 80 times. Players A and B decide to play a game. If the roll is even, Player A wins. Otherwise, Player B wins. Is the game fair? Explain.