in jims school there are 3 girls for every 2 boys there are 650 students in total using this information how many students are girls
Logo

Nursing Elites

ATI TEAS 7

TEAS Test Math Prep

1. In Jim's school, there are 3 girls for every 2 boys. There are 650 students in total. Using this information, how many students are girls?

Correct answer: A

Rationale: To find the number of girls in Jim's school, we first establish the ratio of girls to boys as 3:2. This ratio implies that out of every 5 students (3 girls + 2 boys), 3 are girls and 2 are boys. Since there are a total of 650 students, we can divide them into 5 equal parts based on the ratio. Each part represents 650 divided by 5, which is 130. Therefore, there are 3 parts of girls in the school, totaling 3 multiplied by 130, which equals 390. Hence, there are 390 girls in Jim's school. Choice A, 260, is incorrect as it does not consider the correct ratio and calculation. Choice B, 130, is incorrect as it only represents one part of the total students, not the number of girls. Choice C, 65, is incorrect as it ignores the total number of students and the ratio provided.

2. How many quarts are in 1 liter?

Correct answer: B

Rationale: To convert liters to quarts, you can use the conversion factor 1 liter โ‰ˆ 1.06 quarts. Therefore, 1 liter is approximately 1.06 quarts. Choice A is incorrect because 1 quart is not equivalent to 1 liter. Choice C is incorrect as 2 quarts is more than 1 liter. Choice D is incorrect as 0.5 quarts is half of 1 liter.

3. "is" in math means what?

Correct answer: A

Rationale: In mathematics, "is" signifies equality, meaning that the values or expressions on both sides of the equation are the same. For example, in the equation 2+2=4, the phrase "2 + 2 is 4" indicates that the sum of 2 and 2 equals 4. "Multiply" refers to the operation of combining two numbers to obtain a product. For instance, in the expression 3ร—4, we multiply 3 by 4 to get 12. "Subtract" means to take one number away from another, resulting in a difference. For example, in 5โˆ’2, we subtract 2 from 5 to get 3. "Add" refers to the operation of combining two numbers to get a sum. For example, in 2+3, we add 2 and 3 to get 5.

4. Simplify (x^2 - y^2) / (x - y)

Correct answer: A

Rationale: The expression ๐‘ฅ^2 - ๐‘ฆ^2 is a difference of squares, which follows the identity: ๐‘ฅ^2 - ๐‘ฆ^2 = (๐‘ฅ + ๐‘ฆ)(๐‘ฅ - ๐‘ฆ). Therefore, the given expression becomes: (๐‘ฅ^2 - ๐‘ฆ^2) / (๐‘ฅ - ๐‘ฆ) = (๐‘ฅ + ๐‘ฆ)(๐‘ฅ - ๐‘ฆ) / (๐‘ฅ - ๐‘ฆ). Since (๐‘ฅ - ๐‘ฆ) appears in both the numerator and the denominator, they cancel each other out, leaving ๐‘ฅ + ๐‘ฆ. Thus, the simplified form of (๐‘ฅ^2 - ๐‘ฆ^2) / (๐‘ฅ - ๐‘ฆ) is ๐‘ฅ + ๐‘ฆ. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.

5. Simplify the following expression: (2/7) รท (5/6)

Correct answer: D

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, (2/7) รท (5/6) becomes (2/7) ร— (6/5) = 12/35. Therefore, the correct answer is 12/35. Choice A (2/5), choice B (35/15), and choice C (5/21) are incorrect because they do not correctly simplify the given expression.

Similar Questions

What is the percentage equivalent of 0.0016?
Which of the following lists is in order from least to greatest? (1/7), 0.125, (6/9), 0.60
Which of the following equations does not represent a function?
Which of the following values is the greatest?
A student scores 85% on a test with 50 questions. How many questions did the student answer correctly?

Access More Features

ATI TEAS Premium Plus
$149.99/ 90 days

  • Actual ATI TEAS 7 Questions
  • 3,000 questions with answers
  • 90 days access

ATI TEAS Basic
$1/ 30 days

  • 3,000 Questions with answers
  • 30 days access

Other Courses