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lana66690 [7]
3 years ago
14

5 STARS!!!

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Since it is given that Boris takes x minutes to run 5 miles it means that Boris' speed will be given as: \frac{5}{x}.

Now, if Dylan runs slower than Boris and takes 12 more minutes to complete the 5 miles run, then that would mean that Dylan takes (x+12) minutes to complete the same run.

In this case we can see the Dylan's speed will be \frac{5}{x+12}.

Thus, the denominator represents the time Dylan takes to run 5 miles if he takes 12 minutes more than Boris.

Therefore, out of the given options, the second option is the correct option.

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I'll give brainliest to whoever answers first and is correct!!
Nina [5.8K]

Answer:

(a) y=8x+5

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

y=8x+5

Therefore, the equation y=8x+5 represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

61=8x+5

Let us subtract 5 from both sides of our equation.

61-5=8x+5-5

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Let us divide both sides of our equation by 8.

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Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

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