Practice With Lines
In the xy-plane, the equations 3x + 6y = 30 and x + 2y = a/3 represent the same line for some constant a. What is the value of a?
In the xy-plane, the equations 3x + 6y = 30 and x + 2y = a/3 represent the same line for some constant a. What is the value of a?
On Tuesday, Jax rode 13 miles on his bike in 30 minutes. What was his average speed on that ride, to the nearest tenth?
On Wednesday, Alan sent x text messages per hour for 6 hours, and Tyler sent y text messages per hour for 3 hours. Write an expression for the total number of messages sent by Alan and Tyler on Wednesday.
What is the sum of (6+2i) + (−9+11i) ?
h = 3m + 29.2 A doctor uses this model to estimate the height h of a boy, in inches, based on his age m, in years, between the ages of 2 and 6. According to the model, how many inches is a boy expected to grow each year?
If m/p = 3, then what is the value of 5p/m?
If y=px, where p is a constant, and y=32 when x=4, then what is the value of y when x=7?
If line m passes through the origin and has a slope of 1/8, then what is the y-coordinate of line m when x=16?
How many milligrams are there in 4 decagrams?
A restaurant offers salads for $7.25 each and drinks for $1.75 each. After selling a total of 198 salads and drinks in one day, the restaurant made $925.50. How many salads were sold that day?