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Andrej [43]
3 years ago
12

Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. T

hey plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

The second part of the trip took 1.5 hours.

Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:

Average Speed = total distance ÷ total time

Given that the distance from the house to the tournament is 210 miles, hence:

Total distance = 210 miles

Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:

Total time = t + 2

The average speed of 60 miles per hour, hence:

60 = 210 ÷ (t + 2)

60(t + 2) = 210

60t + 120 = 210

60t = 90

t = 1.5 hours

Therefore the second part of the trip took 1.5 hours.

Find out more at: brainly.com/question/9834403

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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

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4 0
2 years ago
Find the square root of the following using division method . iv) 36360
sveticcg [70]

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

    ,    1       \dot{3} \overline{63}  \overline{60}

       , 1       1

2,       <u>9</u>      2  \overline{63}

         9      261  

38,      <u>0</u>            2 60

          0            0

         .    

380,    6            26000

        ,  6           22800

3806,  8          320000

         ,  8          304480

38068, 4       1552000

           ,4

Which gives 190.684

3             63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

7 0
3 years ago
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It also belongs to set of natural numbers.
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3 years ago
How many feet of fencing would a farmer need if she wanted
Sauron [17]

Answer:

Well, it's the perimeter, so...40.

You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

P = 2L+2W

or you can factor it out.

7 0
3 years ago
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