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AveGali [126]
3 years ago
5

En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,

sin mezclar, en el menor número posible de recipientes con la misma capacidad. ¿Cuál es la menor cantidad de frascos que se requieren?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

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the population of a city has decreased by 36% since it was last measured. if the current population is 17600 what was the previo
Savatey [412]

Answer:

23,936

Step-by-step explanation:

so get your 17600 times it by 0.36 which gets you 6,336 then add that to 17,600 =23,936

That's how you get your answer

5 0
3 years ago
which graph represents a hyperbola centered at the origin, with a transverse axis of length 6 and a focus at (square root 14,0)
dem82 [27]

Answer:

Is the second graph :)in edg2020

Step-by-step explanation:

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3 years ago
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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?
Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

5 0
3 years ago
Find the area of the triangle. Round the answer to the nearest tenth. A. 4.4 square units B. 5.2 square units C. 6.8 square unit
icang [17]

Answer:

A. 4.4 units²

Step-by-step explanation:

Area of a Triangle: A = 1/2bh

sin∅ = opposite/hypotenuse

cos∅ = adjacent/hypotenuse

Step 1: Draw the altitude down the center of the triangle

- We should get a perpendicular bisector that creates 90° ∠ and JM = KM

- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle

Step 2: Find <em>h</em>

sin70° = h/3.7

3.7sin70° = h

h = 3.47686

Step 3: Find <em>b</em>

cos70° = JM/3.7

3.7cos70° = JM

JM = 1.26547

Step 4: Find entire length base JK

JM + KM = JK

JM = KM (Definition of Perpendicular bisector)

2(JM) = JK

2(1.26547) = 2.53095

b = 2.53095

Step 5: Find area

A = 1/2(3.47686)(2.53095)

A = 4.39988

A ≈ 4.4

8 0
3 years ago
Work out the percentage change when 1.20 is increased to 1.80
exis [7]

Answer:

Step-by-step explanation:

PERCENT CHANGE

The percentage change from 1.20 to 1.80 is 50 %

 

Our percent calculator uses this formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((1.80 - 1.20) / 1.20) * 100 = 50 %

8 0
3 years ago
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