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RideAnS [48]
3 years ago
8

Two friends, Hailey and Jenna bought two tickets to see a play at a local theater . Each ticket cost $17.25. Each friend donated

$1 to the theater's youth program. The friends paid a total of $40.50 which it also includes convenience . How much did each friend paid for the convenience fee?
Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0
If you let the convenience fee equal x, then...

(2×17.25)+(2×1)+(2×x)= 40.50

There are 2 girls so we multiply all the charges by 2. Add them together and you'll get 40.50. Now if we solve for x, we will get the amount of the convenience fee.

2×17.25 + 2×1 + 2x = 40.50
34.50 + 2 + 2x = 40.50
36.50 + 2x = 40.50
2x = 40.50 - 36.50
2x = 4
x = 2

Each girl paid a 2 dollar convenience fee.
You might be interested in
Step 1: (6×10^3) ÷ (2×10^2)
Nookie1986 [14]

Answer:

Error is in between the second and third step

the exponents must be subtracted

Step-by-step explanation:

8 0
2 years ago
PLEASE ANSWER ASAP CORRECT ANSWER GETS BRAINLIST
geniusboy [140]

I guess the number 2 is to indicate the question...

Then the equation would be 1/3 - 1/2x = -2/3

1/3 - 1/2x - 1/3 = -2/3 - 1/3

-1/2x = -3/3

-1/2x = -1

-1/2x *2 = - 1*2

-x = -2

-x * -1 = -2 * -1

x = 2

Good luck

5 0
3 years ago
Which expressions are equivalent to − 56 z + 28 −56z+28minus, 56, z, plus, 28? Choose 2 answers: Choose 2 answers: (Choice A) A
Dmitrij [34]

Answer:

(D)-2(28z-14) \: and\:\\(E) -7(8z-4)

Step-by-step explanation:

We are to determine which of these expressions are equivalent to: -56 z + 28

(A)\frac{1}{2}\cdot(-28z+14) \\(B)(-1.4z+0.7)40\\(C)(14-7z)\cdot(-4)\\(D)(8z-4)(-7)\\(E)-2(-28z-14)

-56 z + 28

  • If we factor out -2

-56 z + 28=-2(\frac{ -56 z}{-2} + \frac{28}{-2})=-2(28z-14)

  • If we factor out -7

-56 z + 28=-7(\frac{ -56 z}{-7} + \frac{28}{-7})=-7(8z-4)

Therefore, the two equivalent expressions are:

-2(28z-14) \: and\: -7(8z-4)

5 0
3 years ago
los miembros de un club social se pueden agrupar en sin que ninguno quede suelto, por parejas, por trios y por grupos de 7. ¿ cu
mote1985 [20]

Answer:

El club tiene 84 miembros.

Step-by-step explanation:

El mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números. Es decir, el mínimo común múltiplo de dos números a y b es el número más pequeño que es múltiplo de a y múltiplo de b. Recordar que los múltiplos son el resultado de multiplicar un número por todos y cada uno de los números naturales.

Para calcular el mcm se descompone los números para escribirlos como un producto de números primos. Para descomponer un número se divide el número sucesivamente entre números primos hasta llegar a 1.  La descomposición es el producto de las potencias de los números primos, siendo sus exponentes el número de veces que se ha dividido por dicho primo.

El mínimo común múltiplo se obtiene escogiendo todos los factores (comunes y no comunes), elevados a la máxima potencia. Es decir eliges todos los factores, pero los que se repitan serán elevados a la máxima potencia.

En este caso, los miembros de un club social se pueden agrupar, sin que ninguno quede suelto, por parejas, por tríos y por grupos de 7. Para calcular la cantidad de miembros que tiene el club, entonces debes calcular el mcm entre los números 2,3 y 7

No podemos descomponer los números como producto de primos porque ya son números primos., por lo que el mínimo común múltiplo es el producto de comunes y no comunes al mayor exponente:

mcm (2,3,7)= 2*3*7= 42

Pero sabes que los miembros son más de 80 pero menos de 90, por lo que calculas un múltiplo del mcm obtenido.

Múltiplo de 42= 2*42= 84

<u><em>El club tiene 84 miembros.</em></u>

5 0
3 years ago
Which sequence represents an arithmetic sequence?
MArishka [77]

Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …  

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

plz mark brainliest

7 0
3 years ago
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