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2 years ago

Which conversion requires multiplication?

Mathematics

1 answer:

Veronika [31]2 years ago

8 0

Answer:

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

How would i calculate 1.9 minus 11/12?

Levart [38]

Answer:

59/ 60

Step-by-step explanation:

1.9 can be expressed as 19/10

Thus, our equation becomes

19/10 -11/12.

This becomes (228 -110) / 120

= 118 / 120

Simplify by 2 to get

59/60

4 0

3 years ago

Read 2 more answers

HELP ME PLEASEEE UGHHH I HATE IXL HELP ME GUYS !!!!!!!!

Sedaia [141]

Yea what the other guy said

4 0

3 years ago

What is the value of the exponential expression below? 36 1/2

Aleksandr [31]

36 1/2 = 6

Given: the exponential expression

6 0

3 years ago

Read 2 more answers

Each statement describes a transformation of the graph of y = lnx. Which statement correctly describes the graph of y = ln(x - 7

vodomira [7]

Hello!

The parent function, y = ln(x), has a vertical and horizontal translation.

y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.

If ln(x + k), then the graph is translated left k units.

If ln(x) + h, then the graph is translated up h units.

If ln(x) - h, then the graph is translated down h units.

Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.

7 0

3 years ago