how much pay does mr johnson receive if he gives half of his pay to his family 250 to his landlord and has exactly 37 of his pay left over

HESI A2

HESI A2 Quizlet Math

1. If Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?

A. $3,600
B. $3,500
C. $2,800
D. $1,750

Correct answer: B

Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.

2. Convert 1/5 to a decimal.

A. 0.5
B. 0.2
C. 1.5
D. 0.15

Correct answer: B

Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 1 ÷ 5 = 0.2. Therefore, the correct answer is B. Choice A (0.5) is incorrect because the decimal form of 1/5 is not 0.5. Choice C (1.5) is incorrect as it is the sum of 1 and 0.5, not the decimal form of 1/5. Choice D (0.15) is incorrect as it is the decimal form of 15/100, not 1/5.

3. Divide: 5 ÷ 9 =

A. 0.05
B. 0.5
C. 5
D. 50

Correct answer: B

Rationale: When dividing 5 by 9, you are finding how many times 9 can fit into 5. Since 9 is greater than 5, the result will be less than 1. Therefore, 5 ÷ 9 equals 0.555... which is approximately 0.5. Choice A (0.05) is incorrect because it implies a smaller value than the correct answer. Choice C (5) is incorrect as it is not the result of dividing 5 by 9. Choice D (50) is incorrect as it is a much larger value than the correct answer.

4. If Jolene averages 5 miles for every 30 minutes of biking, how far will she bike in 2 hours?

A. 10 miles
B. 15 miles
C. 20 miles
D. 30 miles

Correct answer: C

Rationale: If Jolene bikes 5 miles for every 30 minutes, it means she bikes 10 miles in one hour (twice the 30-minute interval). Therefore, in 2 hours, she will cover double the distance she bikes in one hour, which equals 20 miles (10 miles per hour x 2 hours = 20 miles). This makes Choice C, '20 miles,' the correct answer. Choices A, B, and D are incorrect as they do not account for the correct doubling of the hourly distance when calculating the total distance biked in 2 hours.

5. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

A. 80 inches by 100 inches
B. 40 inches by 50 inches
C. 4.8 inches by 6 inches
D. 4 inches by 5 inches

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.