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joja [24]
2 years ago
14

A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan cos

ts
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?​
Mathematics
2 answers:
USPshnik [31]2 years ago
8 0
They would have sent 5
guapka [62]2 years ago
6 0

Answer:

Step-by-step explanation:

a)

30=20+0.2m

10=0.2m

50=m

So after sending 20 messages the plans would cost the same.

b)

Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.

Unlimited plan costs $30 while the other plan costs

20+0.2(200)=$60

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A circle with a area 9 pie has a sector with a central angle of 60 degrees
goldfiish [28.3K]

Answer:

4.71 square units

Step-by-step explanation:

central \:  \angle \: ( \theta) = 60 \degree \\  \\ area \: of \: sector \\  =  \frac{\theta}{360 \degree }  \times area \: of \: circle \\ \\   =  \frac{60 \degree }{360 \degree }  \times 9\pi \\  \\  =  \frac{1}{6}  \times 9\pi \\  \\  = 1.5\pi \\  = 1.5 \times 3.14 \\  = 4.71 \:  {units}^{2}  \\  \\ \red{ \bold{ area \: of \: sector = 4.71\:  {units}^{2} }} \\

4 0
3 years ago
the total cost of a bus ride and a ferry ride is $8.00. in one month, bus fare will increase by 10% and ferry fare will increase
ipn [44]
The bus fare is x, and the ferry fare is y.

x + y = 8

The bus fare will increase by 10% and the ferry fare will increase by 25%.

1.1x + 1.25y = 9.25

Multiply the first equation by -1.1:

-1.1x - 1.1y = -8.8

Add this to the original second equation.

0.15y = 0.45

y = 3

x + y = 8

x + 3 = 8

x = 5

The bus fare is $5, and ferry fare is $3.
8 0
3 years ago
Cómo hago una gráfica de barras con datos de una tabla de frecuencia
Diano4ka-milaya [45]

Answer:

En el eje vertical, coloque las frecuencias. Etiquete este eje como "Frecuencia". En el eje horizontal, coloque el valor más bajo de cada intervalo. ... Dibuja una barra que se extienda desde el valor más bajo de cada intervalo hasta el valor más bajo del siguiente intervalo.

8 0
3 years ago
Evaluate the expression when x = 6
ivolga24 [154]

Answer:

76

4+2×6×6(x=6)

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4 0
2 years ago
Solve for x.<br> Help ASAP please!!!
sattari [20]

Answer:

The value of x is 4

Step-by-step explanation:

In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then

∵ The length of one side of the right triangle = (x + 2)

∵ The length of the hypotenuse = x + 5

∴ (x + 2)² = x (x + 5)

∵ (x + 2)² = (x + 2)(x + 2)

∴ (x + 2)(x + 2) = x(x + 5)

→ Simplify the two sides

∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)

∴ x² + 2x + 2x + 4 = x² + 5x

→ Add the like terms in the left side

∴ x² + 4x + 4 = x² + 5x

→ Subtract x² from both sides

∵ x² - x² + 4x + 4 = x² - x² + 5x

∴ 4x + 4 = 5x

→ Subtract 4x from both sides

∴ 4x - 4x + 4 = 5x - 4x

∴ 4 = x

∴ The value of x is 4

3 0
2 years ago
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