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Lemur [1.5K]
3 years ago
6

John owns a hotdog stand. He has found that his profit is represented by the equation P=-x^2+78x+89, with P being the profit in

dollars,and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
He must sell 158 hot dogs
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A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0
3 years ago
A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?
NikAS [45]
Answer: 2
Explaintion/
24/8 =3
6/3=2
7 0
3 years ago
Plz help will give brainliest!
natita [175]

Answer:

8.7

Step-by-step explanation:

4 0
3 years ago
2. El perimetro de un rectangulo es 64 pies. Su largo es 12 pies mas que 3 veces su ancho. Halla las dimensiones del rectangulo
Afina-wow [57]
Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")

<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.

(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5

Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.



4 0
3 years ago
PLZ HURRY IT'S URGENT!!
Y_Kistochka [10]

Answer:

n + 6 = 7n

Step-by-step explanation:

"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.

n − 6 = 7n is not right because the statement says the sum of a number and six.

7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.

n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.

8 0
4 years ago
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