Answer:
Option A - Permutation; number of ways = 210
Step-by-step explanation:
Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.
To find : How many ways are there to award the medals?
Solution :
There are 7 runners but medals are three.
The first runner up got first medal as one is locked.
The second runner up got second medal as second is locked.
The third runner up got the third medal.
So, There is a permutation.
Number of ways to award the medals is 
We know, 
Substitute the values,
Therefore, Option A is correct.
Permutation; number of ways = 210
When rounding any number anything greater than 5 you go up and anything less than 5 you round down.
nearest ones 86120 ( 4 is lower than 5 you go down)
nearest tens 86100 ( 2 islower than 5 you go down)
nearest hundreds 86000( 1 is lower than 5 you go down)
nearest thousands 87000 ( 6 higher than 5 you go up)
nearest ten thousands 90000 ( 8 is higher than 5 you go up)
Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
My estimated answer for 1 is x=1.59 or x=-1.26 and my exact answer is (in word form) x= 1 plus or minus the square root of 73 over 6. my estimated answer for 2 is x=-0.34 or x=1.74 and my exact answer (in word form) is x= -7 plus or minus the square root of 109 over -10. I took a picture of my work and hopefully you can read it
<span> write out all the factors of each number or draw out a factor tree
24:1,2,3,4,6,8,12,24
44:1,2,4,11,22
the GCF is the largest number in both the lists so in this case it is 4 </span>
