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barxatty [35]
2 years ago
14

(d) Jim walks three miles in 45 minutes. How long does it take for him to walk 5 miles?​

Mathematics
1 answer:
kramer2 years ago
6 0

Answer:

  • 5 miles = 75 minutes

Step-by-step explanation:

<u>We know that:</u>

  • 3 miles = 45 minutes

<u>Solution:</u>

  • 3 miles = 45 minutes
  • => 1 mile = 45/3 minutes
  • => 5 miles = 45/3 x 5
  • => 5 miles = 15 x 5
  • => 5 miles = 75 minutes

Hence, it takes 75 minutes for Jim to walk 5 miles.

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Find 9P9 and 9C9. Why do the answers differ?​
sveta [45]

We have been given two expressions 9P9\text{ and }9C9. We are asked to find the value of each.

To find 9P9, we will use permutations formula.

^nP_r=\frac{n!}{(n-r)!}, where

P = Number of permutations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

9P9=\frac{9!}{(9-9)!}

9P9=\frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{(0)!}

9P9=\frac{362880}{1}                   Using 0!=1

9P9=362880

To find 9C9, we will use combinations formula.

^nC_r=\frac{n!}{r!(n-r)!}, where

C = Number of combinations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

9C9=\frac{9!}{9!(9-9)!}

9C9=\frac{9!}{9!(0)!}

9C9=\frac{9!}{9!\cdot 1}     Using 0!=1

Cancelling out 9!, we will get:

9C9=\frac{1}{1}

9C9=1

The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.  

3 0
3 years ago
D=h+9 The variable H represents the number of hours worked, and the variable d represents the amount of dough prepared how many
Marta_Voda [28]

Answer:

  12 hours

Step-by-step explanation:

If we assume that the units of D are kg, then we can put the given number into the equation and solve.

  21 = h +9

  12 = h . . . . . subtract 9

Eli worked 12 hours to prepare 21 kg of dough.

8 0
3 years ago
Identify the slope and y-intercept of the graph of the equation.
Aleksandr [31]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
3 years ago
The circle below is centered at (2, 3) and has a radius of 4. What is its
OLEGan [10]
C. Is try correct answer
See example in the attached picture
6 0
3 years ago
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