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Ulleksa [173]
3 years ago
7

A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text

Mathematics
1 answer:
olasank [31]2 years ago
8 0

Hey!

---------------------------------------

Solution:

77.50 = 0.15x + 10

77.50 - 10 + 0.15x + 10 - 10

67.50 = 0.15x

0.15x = 67.50

0.15x/0.15 = 67.50/0.015

x = 450

---------------------------------------

Check:

77.50 = 0.15(450) + 10

77.50 = 67.50 + 10

77.50 = 77.50

---------------------------------------

Answer:

450 text messages can be sent when the monthly charge is $77.50!

---------------------------------------

Hope This Helped! Good Luck!

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Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

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Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

V_R= 280 m^3/h * 3h=840\ m^3

To get the best estimate of the total volume, let us find the average of the two values, hence:

Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3

3 0
3 years ago
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
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Answer:

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If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla
erastovalidia [21]

Answer:

Option b) \frac{17}{260}

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

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We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}

\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}

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Option b) \frac{17}{260}

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