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algol13
3 years ago
15

2. En el sobre de un jugo instantáneo aparece la siguiente información: “prepare un delicioso litro de jugo de naranja”. Si con

el litro de jugo se llenaron 5 vasos, ¿Cuál es la capacidad de cada vaso en mililitros?
3. Consultar sobre unidades de masa y un ejemplo

Mathematics
1 answer:
babunello [35]3 years ago
8 0

2) 200 mL

3) 0.2 kg

Step-by-step explanation:

2)

In this problem, we know that:

- With 1 liter of juice, we can fill a total of 5 cups

So we know that the total volume of 5 cups is equal to

V = 1 L

This means that the volume of each cup is equal to the total volume divided by the number of cups (5), therefore:

V_1=\frac{V}{5}=\frac{1L}{5}=0.2 L

And keeping in mind the equivalence between liters and milliliters:

1 L = 1000 mL

This means that the capacity of each cup is

V_1=0.2 L \cdot 1000 mL/L = 200 mL

3)

Here we want to find the mass contained in each cup.

We know that the mass of a substance is related to each volume by the equation

d=\frac{m}{V}

where

d is the density

m is the mass

V is the volume

In this problem, we have:

V = 0.2 L is the volume of juice in each cup

d=1kg/L is the density of juice (assuming it is the same as the density of water)

So, the mass of juice in one cup is:

m=dV=(1)(0.2)=0.2 kg

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3 years ago
(-5,3);5×=4y+9 can you help me solve ​
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Answer:

-25 ≠ 21

Step-by-step explanation:

it looks like the question is asking you to solve 5x=4y+9 when given the ordered pair (-5,3)

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3 years ago
What is the area of a triangle with vertices (1,0) (5,0) (3,4)
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Answer:

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Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

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The area of the triangle is of 8 units of area.

3 0
3 years ago
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