-6(12-8) <br> Use the distributive property

I beg of you solve it. A small Plane can travel 120 mph in still air. The plain can fly 700 miles with the wind in the same that

Fiesta28 [93]

Answer:

speed of the wind, w = 20 mph

Step-by-step explanation:

Let,

s = speed in still air = 120 mph

w = wind speed = ?

t = travel time in hours

Plane traveling with the wind, we have:

(v + w)t = 700

(120 + w)t = 700 ------------------(equation 1)

Plane traveling against the wind, we have:

(v - w)t = 500

(120 - w)t = 500 --------------------(equation 2)

From equation 1, make t subject of formula,

t = 700/(120 + w) -------------------(equation 3)

From equation 2, make t also subject of formula,

t = 500/(120 - w) ---------------------(equation 4)

It is the same t in both equations, so equating equation 3 and 4

700/(120 + w) = 500/(120 - w)

Solve for w.

500(120 + w) = 700(120 - w)

60000 + 500w = 84000 - 700w

500w + 700w = 84000 - 60000

1200w = 24000

w = 24000/1200

w = 20 mph

3 0

3 years ago

The tables show the number of points scored by two basketball teams this season.

masya89 [10]

The answer is, The means differ by only about 0.5, but the standard deviations shows that the hurricanes' number of points is generally closer to the mean.

Step-by-step explanation:

Red hawks and Hurricane in two columns.
Total of both Red hawks and Hurricane 725 and 716.
Mean is the measure of centrality.
Mean = Adding total number of points / by games played.
Formula is Ex/N.
Result mean of Red hawks and Hurricane is 45.31 and 44.75.
The difference between the mean is 0.56 as mentioned.
Standard deviation shows, how much of data is away from mean.
Standard deviation shows the variability of data.
Standard deviation of Red hawks and Hurricane is 8 and 4.
Red hawks is 8 further away from mean.
Hurricane is 4 further away from mean.
Hurricane is closer because they are consistent.

7 0

3 years ago

Construct an equilateral triangle of side 7cm and construct circumcircle.

zalisa [80]

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

With a ruler and a pencil, draw a 7cm line.
With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
With the same compass, still at 7cm, draw an arc centered around the left end of the line.
These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.

<em>You now have an equilateral triangle with 7cm sides. Next you need to draw the circle</em>

Measure the halfway point on two of your three lines.
Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.
Centered on that middle point, trace a circle with the selected radius.

And you're done!

6 0

3 years ago

Wich one is greater 7.6 or 7.41

svetlana [45]

7.6 is greater than 7.41

4 0

4 years ago

Read 2 more answers

the bottom of a ladder must be placed 3 feet from a wall. the ladder is 12 feet long. how far above the ground does the ladder t

Kitty [74]

Use the formula a squared plus b squared =csquared in this case you will come out with an equation like this 3sqaured + bsqaured =12squared 9+bsqaured =144 144-9= b= 135 B=approximately 11.5

5 0

3 years ago

-6(12-8) Use the distributive property