Percents, Proportions And Fractions Quiz 1

Explanation
The given answer options represent the same value expressed in different forms. The mixed number 5 9/10, the decimal 5.9, and the improper fraction 59/10 all represent the value 5.9 in different formats.

Explanation
To find 15% of $34, you multiply $34 by 0.15. This calculation gives you $5.10, which is 15% of $34.

Explanation
Maria received 27 out of 36 points on the test. To find her score as a percentage, we can divide her score (27) by the total possible points (36) and then multiply by 100. This gives us (27/36) * 100 = 75%. Therefore, Maria's score is 75% or 75 percent.

Explanation
Based on the information given, it is stated that three out of every four students have sneakers on today. This means that 3/4 of the students are wearing sneakers. To find out how many students are not wearing sneakers, we can subtract the number of students wearing sneakers from the total number of students. In this case, there are 28 students in total, so if we calculate (3/4) * 28, we get 21 students wearing sneakers. Therefore, the number of students not wearing sneakers would be 28 - 21, which equals 7.

Explanation
Janet has twice as many Pokemon cards as Jake, and together they have a total of 36 cards. This means that if we let the number of cards Jake has be represented by x, then Janet must have 2x cards. Since the total number of cards they have together is 36, we can set up the equation x + 2x = 36. Simplifying this equation gives us 3x = 36, and dividing both sides by 3 gives us x = 12. Therefore, Jake has 12 cards, and since Janet has twice as many, she must have 2 * 12 = 24 cards.

Explanation
First find the sale price. 20% of $45 is $9. 45 - 9 = 36. Then add 10% sales tax to $36. 10% of $36 = $3.60. 36+3.60 = $39.60

Explanation
The product of 3 1/3 and 1 4/5 can be found by multiplying the whole numbers together (3x1) and multiplying the fractions together (1/3x4/5). The product of the whole numbers is 3 and the product of the fractions is 4/15. Therefore, the final product is 3 + 4/15, which simplifies to 6.

Explanation
The given question asks to find the result of dividing 2 and 1/2 by 2/3. To solve this, we can convert the mixed number 2 and 1/2 into an improper fraction. 2 and 1/2 can be written as 5/2. Then, we can multiply the numerator (5) by the reciprocal of the denominator (2/3). This is equivalent to multiplying 5/2 by 3/2, which gives us 15/4. Therefore, the correct answer is 15/4. Additionally, 15/4 can also be expressed as a mixed number, which is 3 3/4. So, both 15/4 and 3 3/4 are correct answers.

Explanation
Jessica needs to measure 3 and 1/2 cups of flour. She only has a 1/3 cup measure. To find out how many scoops of the 1/3 cup measure she needs, we can divide 3 and 1/2 by 1/3. When we divide 3 and 1/2 by 1/3, we get 10 and 1/2 or 10.5. Therefore, Jessica needs 10.5 scoops of the 1/3 cup measure to get the exact amount of 3 and 1/2 cups of flour.

Explanation
To make 1 and 1/2 times the normal recipe, you need to multiply the original amount of flour by 1.5. The original recipe calls for 3/4 cups of flour, so multiplying 3/4 by 1.5 gives us 9/8 cups of flour. 9/8 can also be expressed as a mixed number, which is 1 and 1/8. Therefore, the new recipe will require 1 and 1/8 cups of flour. The decimal representation of 9/8 is 1.125, which is also a valid answer.