Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $14 plus $5 per hour. Darlene's Dog Sitting charges $18 plus $3 per hour.54 42
Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. In your equation, use x to represent the number of hours of dog sitting.
The equation is .
The total cost will be the same for the two services at hours.
Answers
Answer:
The Equation is .
The total cost will be the same for the two services at 2 hours.
Step-by-step explanation:
Given:
Fixed charge of Derrick = $14
Hourly charge of Derrick = $5
Fixed charge of Darlene = $18
Hourly charge of Darlene = $3
Let number of hours be 'x'.
Hence We can say that Total Charges of Derrick's Dog Sitting will equal to sum of Fixed charge of Derrick and Hourly charge of Derrick multiplied by Number of hours.
Framing in equation form we get;
Total Charges of Derrick's Dog Sitting =
Now We can say that Total Charges of Darlene's Dog Sitting will equal to sum of Fixed charge of Darlene and Hourly charge of Darlene multiplied by Number of hours.
Framing in equation form we get;
Total Charges of Darlene's Dog Sitting =
we need to find the number of hours used at which both the total cost would be same.
we can say;
Total Charges of Derrick's Dog Sitting = Total Charges of Darlene's Dog Sitting
Hence the Equation is
On Solving the equation we will find the numbers of hours for the same we get;
Combining like terms
Now dividing both sides by 2 using Division property we get;
Hence, The total cost will be the same for the two services at 2 hours.
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75 percent of the number 140 is 105.
Let the unknown number be x.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 75% of x is 105
75% of x= 105
75/100 ×x= 105
0.75x=105
x=105/0.75
x= 140
Therefore, 75 percent of the number 140 is 105.
To learn more about the percentage visit:
brainly.com/question/24159063.
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The graph from the image attached that has an Euler Circuit is option d.
Note that Euler circuit path must have at least 2 odd Numbers and the others can be even numbers. From the above image (Option d), we can see that the Vertices have
- A = 3
- B = 3
- C = 2
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- E = 2
What is a Euler circuit?
An Euler circuit is known to be a kind of circuit that moves over all the edges at once and is said to often takes place once and begins and ends its process in the same place/point.
From the above, we can see 2 odd numbers (3) and the rest are even. So therefore, option d is correct.
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Answer:
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Step-by-step explanation:
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