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3 years ago

3х + бу = 24 figure out x and y intercept

Mathematics

2 answers:

____ [38]3 years ago

6 0

Answer:

x int... (8,0)

y int... (0,4)

Step-by-step explanation:

valkas [14]3 years ago

3 0

Answer: i did this because it helps me better understand the intercepts so i thought it might help you too

y=-1/2x=4

Step-by-step explanation:

3x+6y=24

6y=-3x+24

divide by 6

y=-3/6x+4

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3 years ago

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

Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls. About how many containers will Casey use?

lisov135 [29]

Answer:

Step-by-step explanation:

If we have total around 281 items, and we can divide them into groups of 3.

We can make around 281/3 groups which is about 90

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3 years ago

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