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3 years ago

Anita and Leah each had a bottle of water. The fraction of the bottle that Anita

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

Answer:

5/8

Step-by-step explanation:

5/8 is the answer beacuse point A is 7/8 on the number line and leah drank 1/4 or 2/8 less than anita so 7/8-2/8=5/8

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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

2 years ago

A field has a perimeter of 1.48 kilometers it is 460 meteres long how wide is the field

Vika [28.1K]

280 meters wide.
Step 1: Convert kilometers to meters. 1.48=1480
Step 2: Multiply the side length that you have by 2. 2x460=920
Step 3: Subtract 920 from 1480. 1480-920=560.
Step 4: Divide 560 by 2. 560/2=280
There is your answer!

6 0

3 years ago

Read 2 more answers

In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

Anastaziya [24]

Answer:

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG. Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

6 0

3 years ago

What is the peremeter of this tile 3in 3in 3in 3in I ready

Leokris [45]

Answer:

12 in.

Step-by-step explanation:

The perimeter is calculated by adding all up the sides of a shape. In this case, the shape is a square, considering that all the sides are the same measurements. 3+3+3+3 can be simplified to 3x4. This gives you 12 in. as the perimeter.

8 0

3 years ago

X^3+2/3x^4-1/2x^2 integral

Irina-Kira [14]

$\frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c$

simplified form =

$\frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c$

5 0

3 years ago