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kotykmax [81]
3 years ago
5

A plane can fly 305 miles downwind in the same amount of time as it can travel 215 miles upwind. Find the velocity of the wind i

f the plane can fly 260 mph in still air.
Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

We can compute this in 2 ways:

305 downwind - 260 still air = 45 mph wind velocity

260 still air - 215 downwind = 45 mph wind velocity

Step-by-step explanation:

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0
2 years ago
The drop down is the same for both questions. (15 points!) Please don't do fake answers or you WILL Be reported
Bezzdna [24]

Answer:

Step-by-step explanation:

Less and Greater? I don't know what the drop down menus say. Please don't report me. Can you take a pic of drop down menus for me to see?

4 0
2 years ago
How do i solve tis in need help <br> slope=2/7 y-intercept=-4
Thepotemich [5.8K]

Answer:

y=2/7x-4

Step-by-step explanation:

Write in Slope intercept form

y=mx+b

m = slope

b = y intercept

x = x intercept

y = (0,-4)

So,

y = 2/7x+(-4)   substitute

y = 2/7x-4

5 0
2 years ago
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us
iVinArrow [24]

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

7 0
3 years ago
Write 0.3 as a fraction in simplest form.
s344n2d4d5 [400]
The question is asking to convert the said decimal value in a simplest fraction form, base on my research and further calculation, I would say that the answer would be 3/10. I hope you are satisfied with my answer and feel free to ask for more 
6 0
3 years ago
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