What percent of 75 is 8?

We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.

We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.

We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.

$4\text{ hr }5\text{ min }73\text{ sec }-4\text{ hr }3\text{ min }18{ sec }= 2\text{ min }55\text{ sec }$

We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.

4 0

3 years ago

In how many ways could 12 people be

laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

Keywords: permutation, combination

Learn more about permutation and combination from brainly.com/question/12953847

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8 0

2 years ago

A total of $76,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds

Anestetic [448]

Answer:

The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000

Step-by-step explanation:

Given as :

The total amount to be invested as bonds and certificates of deposit (CD) = $76,000

Let the amount invested as bonds = $ x + $6000

And The amount invested as CD = $ x

Now, According to question

The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000

Or, $ x + $ x + $6000 = $76,000

Or, $ 2x = $76,000 - $6000

So, $ 2x = $70,000

∴ x = $\frac{70000}{2}$ = $ 35,000

And $ x + $6000 = $ 35,000 + $6000 = $ 41,000

Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer

4 0

2 years ago