Solve the problem.A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
A. Bike: 13 mph
Hike: 3 mph
B. Bike: 14.5 mph
Hike: 4.5 mph
C. Bike: 11.5 mph
Hike: 1.5 mph
D. Bike: 12 mph
Hike: 2 mph
Answer: D
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Write the system of linear equations that the augmented matrix represents.
A. x = 0 y = 2 z = 4 B. x = -1 y = -1 z = -3 C. x = -2 y = -2 z = 0 D. x = 1 y = 1 z = 3
Solve the problem.There is less than $900 difference between the tuition at State University and Highbrow College. The tuition at Highbrow is $4500. Express this as an absolute value inequality. Use "x" for the tuition of State University.
A. x > 4500 -
B. < 900
C. < 4500
D. x <
Use the graph to answer the question.The bar graph below shows the number of students by major in the College of Arts and Sciences. The science department spends about $400 on equipment for each student majoring in science. How much should the science department budget for equipment?
A. $40,000 B. $60,000 C. $80,000 D. $6000
Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.6x = |y|
A. x-axis only B. Origin only C. x-axis, y-axis, origin D. y-axis only