T/3+9=12 what does this mean in algerba

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

7 0

Answer:

t=9

Step-by-step explanation:

subtract 9 from both sides

t/3=3

t=9

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

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1 year ago

A pail hold 6 3/4 gallon of water. how much is this in cups

Ber [7]

There are 16 cups in 1 gallon so you would have to turn the denominator in the fraction into a 16 meaning you would multiply by 4 (because 4 goes into 16, 4 times). Your new fraction is 12/16. now you do 6 gallons*16 cups and you get 96 cups. Then you add the fraction onto 96 and you would be adding 12. Your final answer is 108 cups in 6 3/4 gallons

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3 years ago

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Sauron [17]

Answer:

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