All categories

3 years ago

Alisa had 1/2 L of juice in a bottle. She drank 3/8 L of her juice. What

Mathematics

1 answer:

Elina [12.6K]3 years ago

3 0

Answer:

3/16

Step-by-step explanation:

By drinking 3/8 liters of 1/2 liter juice it means the question tests the ability to multiply fractions. Since she drank 3/8*1/2=3/16

We multiply the numerators and denominators separately ie 3*1/(8*2)=3/16

Therefore, Alisa consumed 3/16 or 0.1875 or 18.75% of the juice.

Since the question was in fractional form, it is prudent to also express answer in fractions hence the right answer is 3/16

You might be interested in

The function y = 3.75 + 1.5 (x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. Give the number whi

Degger [83]

Answer:

rate of change = 1.5 dollars per mile

Step-by-step explanation:

cost for travelling 1 mile = 3.75

cost 2 miles = 5.25

cost 3 miles = 6.75

cost 4 miles = 8.25

8 0

3 years ago

Read 2 more answers

On this corrdinate plane UVW has been transformed to form image U’ V’ W’.

egoroff_w [7]

Answer:

Step-by-step explanation:

Translate the image 2 units right and 1 unit up. Then rotate the image 180°.

Take the coordinate W, it is at (2, 4).

Translate 2 units right (add 2 to the x coordinate) and 1 up (add 1 to the y coordinate)

(2, 4) ------> (2 + 2, 4 + 1) -------> (4, 5)

A rotation of 180° (doesn't matter the direction) makes the coordinates their opposites. Positives become negatives and negatives become positive.

(4, 5) -------> (-4, -5)

8 0

2 years ago

4^3sqrt(3x-3)^2+2=38

vlada-n [284]

Here, 4³√(3x-3)² + 2 = 38

= 4³ (3x - 3) = 38 - 2

= 192x - 192 = 36

= 192x = 192 + 36

= x = 228/192

= x = 1.1875 [ Final Answer ]

Hope this helps!

4 0

4 years ago

Eight point zero one divided by 3

zmey [24]

Answer:

2.67

Step-by-step explanation:

This is right trust if not then alright.

5 0

2 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

3 years ago