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garri49 [273]
3 years ago
9

Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. Carpenters charge $28 per hour and p

ainters charge $32 per hour
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

A.28x+32y

B.199 hours

Step-by-step explanation:

Let carpenters work for  x hours and painters work for y hours.

Nelson must spend money <$7500

Carpenters charge per hour=$28

Painters charge per hour=$32

A.We have to write inequalities which represents this situation

According to question

28x+32y

B.If hires carpenters work  for total time=40 hours

We have to find the maximum number of hours for which painters can work without exceeding the budget.

Substitute the value in above inequality equation then, we get

28(40)+32y

1120+32y

Subtracting 1120 on both sides

32y

32y

Divide by 32 on both sides then we get

y

y

Hence,painters can work for  maximum 199 hours.

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Step-by-step explanation:

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Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor
omeli [17]
<h3>The total money earned by Rita on Monday   = $158</h3>

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = 1\frac{1}{2}    = 1.5 times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

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So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

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(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

= 12 hour 90 minutes  = 1 :  30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked  =  30 minutes + 15 minutes  +4 hours  

= 4 hours 45 minutes  .... (2)  

So, by adding (1) and (2) the total hours worked by Rita  

= 4 hours 30 minutes + 4 hours 45 minutes    

= 8 hours  75 minutes  = 9 hours 15 minutes

9 hours  15 minutes   = ( 8 +  1 .25 )     ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

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Step-by-step explanation:

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En la división sintética sólo son tomados en cuenta los coeficientes del divisor?
Airida [17]

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3  será el <u>numerador</u>

x - 2 será el <u>denominador.</u>

Para poder aplicar la división sintetica, el maximo exponente en el <u>denominador </u>debe ser uno.

Así, nuestro cociente es:

\frac{x^3 - 2x^2 + 5x + 3}{x-2}

Procedemos a igualar el <u>denominador</u> a cero:

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Ahora veremos los coeficientes del <u>numerador</u> (el <u>numerador </u>es el <u>divisor</u>).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

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Multiplicamos esto por el valor de x, que es 2:

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Sumamos esto al ultimo coeficiente, que es 3.

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Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

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Si quieres aprender más, puedes leer:

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