Answer:
7/12
Explanation:
Here are the steps to follow:
Write down the factors for the numerator and the denominator.
Determine the largest factor that is common between the two.
Divide the numerator and denominator by the greatest common factor.
Write down the reduced fraction.
It depends what the y intercept of the line is
Answer:
You didn't post the graph choices, but it will look something like the attached photo. I also attached how to put the equation into slope-intercept form and another photo explaining what that means in case you haven't learned!
Step-by-step explanation:
Answer:
14hrs
Step-by-step explanation:
v = speed in still water
t = downstream trip time
d = distance = 182 miles; same distance both downstream and upstream
t + 12 = upstream return trip time
u = current flow = 3 mph
Downstream: d = (v + u)t; Upstream: d = (v - u)(t + 12)
(v - 3)(t + 12) = 182 (equation 1)
(v + 3)t = 182 (equation 2)
Subtract equation 2 from equation 1 to get t:
(vt + 12v -3t -36) - (vt + 3t) = 0
12v - 6t - 36 = 0
t = 2v - 6
Substitute this result for t into equation 2 and solve for v:
(v + 3)(2v - 6) = 182
2v^2 - 6v + 6v - 18 = 182
v^2 = 100
v = 10 mph
t = 2v - 6 = [2(10) - 6] hrs = 14 hrs
Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.
Let's consider the length of rectangle = L and width of rectangle = W.
We know the following formulas for rectangle :-
Perimeter = 2 x (L + W)
Area = L x W
So we have 2 x (L + W) = 54 and L x W = 176.
L + W = 27 and L x W = 176
We need to find two positive integers such that their sum is 27 and product is 176.
Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.
So, the dimensions of rectangle would be 11cm x 16cm.
Hence, option A is correct i.e. 11 cm by 16 cm.
