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2 years ago

A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?

Mathematics

2 answers:

marusya05 [52]2 years ago

7 0

0.8 oz.
4x0.20=0.8
I hope this helps

andrey2020 [161]2 years ago

7 0

Answer:

The answer will be:- ( 0.8 oz ).

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a 4-meter ladder leans up a wall the foot of the ladder is 2 meters away from the wall how far up the wall will the ladder reach

svlad2 [7]

The answer is 3.46 meters

You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.

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2 years ago

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

lesya692 [45]

Answer:

$(-x+2, -\frac{1}{2}y-4})$

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Since we know that the midpoint is (3, -2), let's substitute that for M:

$(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Let's solve for each coordinate individually:

X-Coordinate:

We have:

$3=\frac{x_1+x_2}{2}$

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

$3=\frac{(x+4)+x_2}{2}$

Solve for our second x-coordinate x₂. Multiply both sides by 2:

$6=x+4+x_2$

Subtract 4 from both sides:

$2=x+x_2$

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

$x_2=-x+2$

Y-Coordinate:

We have:

$-2=\frac{y_1+y_2}{2}$

Substitute 1/2y for y₁. This yields:

$-2=\frac{\frac{1}{2}y+y_2}{2}$

Solve for y₂. Multiply both sides by 2:

$-4=\frac{1}{2}y+y_2$

Subtract 1/2y from both sides. So:

$y_2=-\frac{1}{2}y-4$

Therefore, the other coordinate expressed in terms of x and y is:

$(-x+2, -\frac{1}{2}y-4})$

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A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?​

A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?