Determine if the slopes of the given linear equations 6x−2y=2 and y=3(x−2)+5 are the same. Rewrite the first equation in the form y=mx+n and compare the slopes.
Find the height of a stack of DVD cases given the proportional relationship between height and number of cases. Determine the equation relating height y and number of cases x, then calculate the height of 13 DVD cases.
Solve a word problem to find the percentage of red pins in a set of red and brown pins. Solution: Let x be the total number of pins. Then, the percentage of red pins is x19×100%.
A construction crew is lengthening a road. Let L be the total length and D be the number of days worked, where L=3D+200. The crew can work for at most 60 days. Identify the correct description and set of values for the domain and range of the function.
Solve system of linear equations by eliminating x or y terms. Determine the correct first step. x−4y=−83x+4y=0 Choose the correct answer:
A. Eliminate y first
B. Both approaches are valid
C. Add 4y to first equation first
D. Eliminate x first
E. Both approaches are valid
A shipment of 9 tons of sugar is divided into equal-sized containers. If the shipment fills 472 containers, find the amount of sugar one container can hold, expressed as a simplified mixed number.
Determine the insurance company's expected profit from selling a 25,0001−yearlifeinsurancepolicytoa19−year−oldmaleintheUSfor815, given the probability of death within 1 year is 0.001188.
Levi, a teacher, takes home 99 papers to grade over the weekend. He can grade 6 papers per hour. How many papers will he have left after 9 hours of grading?