8/2.79 = 1/2.867, or $2.86 per each oz
15/5.54 = 2.707/1, or 2 oz for every 1 dollar
the 15 oz jar of salsa has the better unit rate
hope this helps
Answer:Divide your speed in feet per minute by 60
Step-by-step explanation:
Let the steaks = X and the salmon = y.
Set up two equations:
15x + 18y = 559.81
19x + 9y = 583.66
Now using the elimination method:
Multiply the second equation by -2, then add the equations together.
(15x+18y=559.81)
−2(19x+9y=583.66)
Becomes:
15x+18y=559.81
−38x−18y=−1167.32
Add these equations to eliminate y:
−23x=−607.51
Divide both sides by -23 to solve for x:
x= -607.51 = -23 = 26.413478
Now you have the cost for a steak.
To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.
15(26.413478) + 18y = 559.91
396.202174 + 18y = 559.81
Subtract 396.202174 from both sides:
18y = 163.607826
Divide both sides by 18:
y = 163.607826 / 18
y = 9.089324
Round both x and Y to the nearest cent:
X (Steaks) =$26.41
Y (Salmon) = $9.09
a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. gives the Johanna's velocity at time . The magnitude of her velocity, or speed, is . Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by , so his acceleration is given by . We have
and at his acceleration is m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min