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bija089 [108]
3 years ago
6

marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t

o run marathon
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

<span>26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.</span>
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9.6.2: Converting from decimal to non-decimal bases. info About A number N is given below in decimal format. Compute the represe
larisa [96]

Answer:

g

Step-by-step explanation:

a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We we can't divide anymore. So we have:

217/2 = 108 + 1

108/2 = 54 + 0

54/2 = 27 + 0

27/2 = 13 + 1

13/2 = 6 + 1

6/2 = 3 + 0

3/2 = 2 +1

2/2 = 1

The binary equivalent to 217 is 11011001

b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:

99/16 = 6.1875

The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.

c) We follow the same steps as in item b:

344/16 = 21.5

The most significant number is 0.5*16 = 8

21/16 = 1.3125

The next number is 0.3125*16 = 5

Since we can't divide it anymore we have our result wich is 158 in hex.

d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.

136/7 = 19.428571

The most significant number is 0.428571 * 7 = 3

19/7 = 2.71428571

The next number is 0.71428571*7 = 5

Since we can't divide it anymore we have our result wich is 253.

e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.

542/5 = 108.4

The most significant number is 0.4*5 = 2

108/5 = 21.6

The next number is 0.6*5 = 3

21/5 = 4.2

The next number is 0.2*5 = 1

Since we can't divide it anymore we have our result that is 4132.

f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.

727/8 = 90.875

The most significant number is 0.875*8 = 7

90/8 = 11.25

The next number is 0.25*8 = 2

11/8 = 1.375

The next number is 0.375*8 = 3

Since we can't divide anymore we have our result wich is 1327

g) Following the same steps as before:

171/16 = 10.6875

The most significant number is 0.6875*16 = 11

Since we can't divide anymore we have our result wich is 1011

h) Following the same steps as before:

91/3 = 30.333333333

The most significant number is 0.333333*3 = 1

30/3 = 10

The next number is 0

10/3 = 3.3333333333

The next number is 0.333333*3 = 1

3/3 = 1

Since we have the final value remainder as 0 the least significant number is 1

Since we can't divide anymore we have our result that is 10101.

i) Following the same steps as before:

840/9 = 93.333333

The most significant number is 0.33333*9 = 3

93/9 =  10.3333333

The next number is 0.333333*9 = 3

10/9 = 1.11111111

The next number is 0.11111111*9 = 1

Since we cant divide anymore we have our result that is 1133

8 0
3 years ago
6*5*2 use parantheses and multiplication properties , then find the product
Mrrafil [7]

Answer:

The answer is 60

Step-by-step explanation:

6 times 5 is 30, then you multiply 30 times 2, which is 60


4 0
3 years ago
A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Using the quadratic function h
Illusion [34]

Answer:

5 seconds

1220 ft

Step-by-step explanation:

Step 1: Know when the stone reaches the maximum height

We know the maximum or minimum height of a parabola is at the vertex so we need to find the vertex

Step 2: Calculate the vertex

The t coordinate of the vertex can be calculated with \frac{-b}{2a}

b = 160

a = 16

t=\frac{-(160)}{2(-16)}\\t=\frac{-160}{-32}\\t=5

Step 3: We know the t coordinate we can find the height at that time

h_{(t)} =-16(5)^{2} +160(5)+20\\h_{(t)}=16(25)+ (800)+20\\h_{(t)}=400+ 800+20\\h_{(t)}=1220

Therefore the stone reaches its maximum height of 1220 ft in 5 secs

7 0
3 years ago
phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total
maxonik [38]

Answer:

We cannot know.

Step-by-step explanation:

It only mentions that Phineas has more jolly ranchers than Alan. Since Alan has 10 jolly ranchers, the number of jolly ranchers Phineas could have is 11, 12, 13, 14... and so on. Phineas could have 1 billion jolly ranchers.

5 0
2 years ago
Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward
larisa [96]

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

The expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours. Select True or False for each of the following.

1. The friends home is 10 miles from Ilonas home

2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

3.The negative sign in the term indicates that Ilona is walking toward her home

4. Ilona is walking at a rate of 10 miles per hour

Answer:

Statements 1 & 2 are correct.

Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

Now, from the expression -2t + 10

It's clear that 2t is a distance value.

This means that the speed used in going home is 2 miles/hr

This means that at t hours, she has walked 2t miles from her friends home.

Thus, statement 2 is true because an absolute value of -2t will be 2t.

Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

Thus, statement 1 is also true

7 0
3 years ago
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