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Shkiper50 [21]
4 years ago
12

The manager of a store that specializes in selling tea decides to experiment with a new blend.She will mix some Earl Grey tea th

at sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 600 pounds of the new blend. the selling price of the new blend is $4.50 per pound and there was something to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of the Earl Grey tea and orange Pekoe tea are required?
​
Mathematics
1 answer:
Marizza181 [45]4 years ago
3 0

Answer:

  • Earl Grey: 150 pounds
  • Orange Pekoe: 450 pounds

Step-by-step explanation:

Let "e" represent the number of pounds of Earl Grey tea required for the mix. Then (600-e) is the number of pounds of Orange Pekoe tea required. The total cost of the mix is ...

  6·e + 4·(600 -e) = 4.50·600

  2e = 600·(4.50 -4.00) . . . . . simplify, subtract 4·600

  e = 300/2 = 150 . . . . . . . . . . divide by the coefficient of x

Required are 150 pounds of Earl Grey and 450 pounds of Orange Pekoe.

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Answer:

Ver explicacion

Step-by-step explanation:

La frecuencia de una onda se define como el número de ciclos completos que realiza una partícula en un segundo.

f = n / t = 15 ciclos / 3 segundos = 5 ciclos por segundo o Hertz

El período de una onda es el tiempo que tarda la onda en realizar una oscilación o ciclo completo.

T = t / n = 3/15 = 0,2 segundos

6 0
3 years ago
A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofF
aleksley [76]

Answer:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

Step-by-step explanation:

                             Protein      Carbohydrates    Iron      calories

Food 1  (x₁)               10                       1                   4              80

Food 2 (x₂)               15                       2                  8              120

Food 3 (x₃)               20                       1                  11              100

Requirements         40                        6                 12

From the table we get

Objective Function z :

z  =  80*x₁   +  120*x₂   +   100*x₃     to minimize

Subjet to:

Constraint 1.  at least 40 U of protein

10*x₁  +  15*x₂ + 20*x₃  ≥  40

Constraint 2. at least  6 U of carbohydrates

1*x₁  +  2*x₂  + 1*x₃    ≥  6

Constraint 3.  at least  12 U of Iron

4*x₁   +  8*x₂  +  11*x₃  ≥  12

General constraints:

x₁    ≥  0     x₂   ≥  0    x₃   ≥  0    all integers

With the help of an on-line solver after 6 iterations the optimal solution is:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

3 0
3 years ago
A box contains 5 red, 2 pink and 3 blue beads.
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Answer:

Answer is 10 beds

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3 years ago
If 15 workers can paint 18 houses in 24
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Answer: 11

Step-by-step explanation:

If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?

--------------

# of days are inversely related to # of workers and directly related

to # of houses.

--------------

d = kh/w

---

Solve for "k" using "15 workers can paint 18 houses in 24 days"

24 = k*18/15

k = 15*24/18 = 15*(4/3) = 20

--------------

Equation:

d = 20h/w

---

Solve: How many days will 40 workers take to paint 22 houses?

d = 20*22/40

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balu736 [363]

Answer:

18.=400%

Step-by-step explanation:

80/20 we get 4 then we multiple 4 ×100 we get 400 and we check the answer 400% ×20 =80

3 0
3 years ago
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