If you put this info into a distance/rate/time table, you would have "against the wind" and "with the wind" as your 2 situations. If the distance from PA to AZ is 1800 miles, then the distance backwards, from AZ to PA is 1800 miles also. That number would go into the distance category for both situations. The rate is what we are looking for. The rate for "against the wind" is the speed of the plane minus the speed of the wind since the wind is blowing into the plane, slowing it down a bit. That looks like this: p - w where p is the speed of the plane and w is the speed of the wind. The rate for "with the wind" is p + w since the wind is pushing the plane along with it, making it fly faster. It took 3.6 hours to get from PA to AZ (you have to convert the 36 minutes into hours) and it took 3 hours to go from AZ to PA. In table form that looks like this:
distance = rate x time
against wind 1800 = p - w x 3.6
with wind 1800 = p + w x 3
Since distance = rate times time, then the first equation going along in the first row is 1800 = 3.6(p - w) and
1800 = 3.6p - 3.6w
Going along in the second row we have 1800 = 3p + 3w. Let's solve this equation for p: 1800 - 3w = 3p and dividing everything by 3 we have
600 - w = p. Now we have a viable substitution to make into the first equation we wrote. If p = 600 - w, then 1800 = 3.6(600 - w) - 3.6w
and 1800 = 2160 - 3.6w - 3.6w. Combining like terms we have
-360 = -7.2w and solving for w we have that w = 50. That means that the speed of the wind is 50 mph. Now we can sub that value in for w to solve for p. 600 - w = p so 600 - 50 = p. That means that p = 550mph. The wind blows at a rate of 50 mph while the plane travels at a rate of 550 mph. There you go!
The value of expression is 63 when e = 4 and g = 6
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to solve the expression
Given that e = 4 and g = 6
<em><u>Substitute e = 4 and g = 6 in given expression</u></em>
Thus value of expression is 63
Answer:
Option D. about 
inches
Step-by-step explanation:
we know that
To find how long is the room in inches multiply the length of the shoe by the number of shoe lengths
so
therefore
the length of the room is about inches
9514 1404 393
Answer:
480 ft
Step-by-step explanation:
The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.
The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.
8 × 60 ft = 480 ft
The lighthouse is 480 feet away.
0 < 2/15 < 1/2 < 2
Each number is decimal form:
0 = 0.00
2/15 = 0.13(repeating 3)
1/2 = 0.50
2 = 2.00
How far from each number closet to 2/15:
0.13 - 0 = 0.13
0.50 - 0.13 = 0.37
2/15 is closer to 0.
