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babunello [35]
3 years ago
14

¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras decafé común que se vende a $2 la lib

ra, para hacer una mezcla que se venda a $3 la libra?
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

Necesitamos agregar 40 libras del café La Finca

Step-by-step explanation:

Sea x el número de libras de café de La Finca a mezclar.

Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.

Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.

Matemáticamente;

5 (x) + 2 (80) = 3 (x + 80)

5x + 160 = 3x + 240

5x -3x = 240-160

2x = 80

x = 80/2 x = 40

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Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

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

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0
2 years ago
Plz help last one ty!!!!!!!
azamat

My apologies on answering late...

Same situation as the previous problem, but this time, all you need to do is state the degree of the angle instead of just providing the angle itself.


ΔABC ≅ ΔDEF

Now, we can see that ∠C ≅ ∠F. Using this information, we can find ∠C on the first triangle ( which is 75° ).

Since ∠C ≅ ∠F,

m∠F is 75°.


Hope I caught your question in time!

Have a good one! If you need anymore help, let me know.

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