An internet service provider is implementing a new program based on the number of connected devices in each household. Currently
, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
2 answers:
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
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Dita spent 35 % of total amount.
35% of x = 0.35x
So amount spent by Dita = 0.35x
% of money spent by Benton = 20 % of x = 0.2x
We are given that Benton spent $12 more than Claire,
so making equation we have ,
Money spent by Dita = Money spent by Claire +12
x=80
So total amount spent was $80.
Money spent by Benton = 0.2x = 0.2 * 80= $16
So amount spent by Benton is $16.
a, b, c - side lengths (a ≤ b ≤ c)
If , then is Obtuse triangle.
If , then is Right triangle.
If , then Acute triangle.
Check to see if the sum of the first two sides is greater than the third.
, therefore is Scalene triangle.
It's Obtuse triangle.
The right answer is Option B:
Step-by-step explanation:
Given,
Current value of car = $5500
This is 55% of the original value.
Let,
p be the original price of car.
Therefore,
55% of p = 5500
Dividing both sides by p
The equation can be used to find the price Mrs. Merson paid for the car.
The right answer is Option B:
Keywords: percentage, division
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