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Ronch [10]
4 years ago
15

Dakota lives 1,500 meters from school. She leaves for school, walking at a speed of 60 meters per minute. Write an equation for

her distance d in miles the car can travel on g gallons of gas.
Mathematics
1 answer:
Stella [2.4K]4 years ago
5 0

Total  distance walked =  1500  meters.

Dakota's  r ate is  60  meters per minute.

The equation for  distance walked over time =  r ⋅ t .

Therefore the distance walked over  t ime =  60 ⋅ t

The equation for distance remaining (let's call it  R  is  1500 − ( 60 ⋅ t ).

so the remaining distance to walk after a time  t  can be written as

R = 1500 − ( 60 ⋅ t )


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To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.

The speed will be:

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Now, calculating the time, we have:

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Hence, the planes will pass each other in 1.14 hours.

Have a nice day!

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3 years ago
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Step-by-step explanation:

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Gekata [30.6K]

Answer:

Converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

Step-by-step explanation:

we are given quadratic equation: x^2-20x+13=0

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Completing the square method is of form: a^2-2ab+b^2=(a-b)^2

Looking at the given equation x^2-20x+13=0

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So, 20x in form of 2ab can be written as:  2(x)(10)

So, we need to add and subtract (10)^2 on both sides

x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87

So, converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

4 0
3 years ago
R subtracted from 378 is the same as 223
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4 years ago
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Step-by-step explanation:

8 0
3 years ago
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