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Art [367]
3 years ago
14

Una compañía de fabricación de muebles suele emplear 18 horas para ensamblar 12 muebles. Para determinar el número de muebles qu

e se lograrán ensamblar en 3 horas, se propusieron los siguientes cálculos; aquel que permite verificar de manera correcta esta relación es
Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

The time required is 4.5 hours.

Step-by-step explanation:

A furniture manufacturing company typically takes 18 hours to assemble 12 pieces of furniture. To determine the number of pieces of furniture that will be assembled in 3 hours, the following calculations were proposed; the one that allows to verify this relationship correctly is

The 12 pieces of furniture assembled in 18 hours

So, 1 piece assembled in 18 / 12 hours = 1.5 hours  

And 3 pieces assembled in 3 x 1.5 = 4.5 hours

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Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

3 0
3 years ago
Given f (x) = 3x - 5 find f (x - 2)
antiseptic1488 [7]

Answer:

3x-11

Step-by-step explanation:

f (x) = 3x - 5

f(x-2)

Replace x in the function with x-2

f (x-2) = 3(x-2) - 5

           =3x-6 -5

           =3x-11

3 0
2 years ago
There is a Saturday performance at a local theater. A theater charges $9 for an adult ticket and $4 for a child ticket. All 1020
Whitepunk [10]
Let x tickets sold be adults, then (1024-x) were of childrens tickets, 9x+(1024-x)4 = 7680. The above equation is for total money solve it you will get x=720 hence, number of adult tickets were 720 and number of child tickets were 300 :)
5 0
3 years ago
Read 2 more answers
Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid
marishachu [46]

Answer:

Density = 1.094g/cm^3

Step-by-step explanation:

Given

Length = 17.7cm

Width = 8.3cm

Height = 13.0cm

Mass = 2090g

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

5 0
3 years ago
1.Which expression is equivalent to 3(k x k x k)? Show your work
zhuklara [117]

Answer:

3 k^3

Step-by-step explanation:

3(k x k x k)

k*k*k = k^3

3(k x k x k) = 3 k^3

5 0
3 years ago
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