The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
d r t
there d 450 t
back d 400 1-t
Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
Answer:
#4
These are the nonvascular plants or bryophytes (mosses, liverworts, and hornworts), the seedless vascular plants (clubmosses and ferns including, horsetails, club mosses, and whisk ferns), gymnosperms (conifers, cycads, Ginkgo, and gnetophytes), and angiosperms, or flowering plants.
Answer:The equation that models the solution will be
33 = 22k / 6
Step-by-step explanation:
The two types of variation involved in this problem are direct variation and inverse variation.
In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.
In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.
From the information given,
c varies directly with b
If we introduce a direct proportionality constant, k, then,
c = kb
c also varies inversely with a
If we introduce an inverse proportionality constant, k, then,
c = k/b
Therefore, c = kb / a
When a=6 , b=22 and c=33.
The equation that models the solution will be
33 = 22k / 6
Answer:
33
Step-by-step explanation:
The product of the secant segment lengths is a constant.
... TC×CV = UC×CW
... 14(2x+2) = 12(2x+5) . . . . substitute the values from the diagram
... 28x +28 = 24x +60 . . . . eliminate parentheses
... 4x = 32 . . . . . . . . . . . . . . add -28-24x
... x = 8 . . . . . . . . . . . . . . . . divide by 4
UW = 12 + 2x + 5 = 17+2·8 . . . . UW = UC + CW
UW = 33
