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RideAnS [48]
3 years ago
9

a motorcyclist traveled a distance of 120 miles in 2 hours. traveling at the same speed how far would this motorcyclist travel i

n 5 hours?
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0
120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs
cross multiply
(2)(x) = (120)(5)
2x = 600
x = 600/2
x = 300....the motorcyclist would travel 300 miles in 5 hrs

or u could do it this way..
120/2 = 60 miles per hr
60 * 5 = 300 miles
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Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
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case 1 = 2592

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case 1 + case 2 =  2916

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Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

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case 2)

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the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

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we can put those two togheter and get that the total number of combinations is:

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4 0
3 years ago
A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the​ mother's
svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be x+5.

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Square of 4: 4^2=16

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Square of mother's age: 1681

To find mother's age, we need to take positive square root of 1681 as:

\sqrt{1681}=41

Therefore, the mother is 41 years old.

4 0
3 years ago
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