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joja [24]
3 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]3 years ago
8 0
They would have sent 5
guapka [62]3 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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P, Q and R are points in the same
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Answer: 119°

Step-by-step explanation:

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2 years ago
10. In right triangle FGH shown below,
Vikki [24]

Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

<h3>What is the Leg Rule?</h3>

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

Learn more about the leg rule on:

brainly.com/question/25016594

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2 years ago
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Answer:

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