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mylen [45]
3 years ago
14

Jose can run 1 miles in 1/6 of an hour. How far can he run in one hour?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:

He can run 8 miles in one hour.

Step-by-step explanation:

We have,

Jose can run 1 1/3 miles in 1/6 of  an hour.

We need to find how far he can run in one hour.

1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}

Now using unitary method,

1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}

or

1\ \text{hour}=8\ \text{miles}

So, he can run 8 miles in one hour.

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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
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ikadub [295]

Answer:

Quadratic

Step-by-step explanation:

Linear has a constant growth and exponential cannot be negative.

6 0
3 years ago
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prisoha [69]
His balance was originally $367 
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3 years ago
MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!
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Answer:

Bottom prism: 126*11=1386    

Top Prism: 2*45=90

Total volume: 1386+90= 1746 cubic cm

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3 years ago
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Please Help.. !!!!! i need to show my work too. Brainliest accompanied!
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Okay so this problem basically is saying if the value is 90000 and per every 1000 she has to pay 31$ in tax

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