Answer:
The correct option is;
![\dfrac{x + 40}{x + 160} = 0.333](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%20%2B%2040%7D%7Bx%20%2B%20160%7D%20%3D%200.333)
Which is of the form of option C with 2 replaced by x and the characters formatted
Step-by-step explanation:
The given parameters are;
Jose's present batting average = 0.250
The number of times he was at bat = 160
The number of times he made a hit = 40
The batting average he wants to improve to = 0.333
If he makes a hit the next x times he was at bat is represented as if he makes a hit each time, for the next x time he was at bat. We have;
The number in times he makes a hit the next x times he was at bat = x
Therefore, we get;
New total number of hits Jose makes = 40 + x = x + 40
New total number of time Jose was at bat = 160 + x = x + 160
Therefore, given that Jose intends to improve his batting average to 0.333, and that the batting average is given by the relation;
![Batting \ average = \dfrac{The \ number \ of\ hits}{The \ number \ of\ at \ bat }](https://tex.z-dn.net/?f=Batting%20%5C%20average%20%3D%20%5Cdfrac%7BThe%20%5C%20number%20%5C%20of%5C%20hits%7D%7BThe%20%5C%20number%20%5C%20of%5C%20at%20%5C%20bat%20%20%7D)
To find x, we have;
![0.333 = \dfrac{x + 40}{x + 160}](https://tex.z-dn.net/?f=0.333%20%3D%20%5Cdfrac%7Bx%20%2B%2040%7D%7Bx%20%2B%20160%7D)
Therefore, the correct option is most likely C. where the 2 is supposed to be x.
Answer:10 10 = 100
Step-by-step explanation:
count to 10 10 times
It is indeed justifiable that the operation involved in this task is combination because the arrangement of the assignments are not important. The combination may be solved directly from a scientific calculator using the function,
nCr
where in this item the value of n is 8 and that of r is 3. Substituting and solving the combination,
8C3 = 56
Therefore, there are exactly 56 combinations possible.
The prime factorization of 6000<span> = 2^4</span>•3•5^3.
<span>The prime factors of </span>6000<span> are 2, 3 and 5.</span>
Answer:
percentage decrease is 70%
Step-by-step explanation:
To find percentage decrease of 2 quantities, we have to find the difference of the quantities and divide by the original quanity. Then we multiply by 100 to find the PERCENTAGE.
We will use formula:
![\frac{New-Old}{Old}*100](https://tex.z-dn.net/?f=%5Cfrac%7BNew-Old%7D%7BOld%7D%2A100)
Where
"New" is the latest quantity
"Old" is the first (previous) quantity
Here, New = 5.3 & Old = 17.71
We substitute into formula and find:
![\frac{New-Old}{Old}*100\\=\frac{5.3-17.71}{17.71}*100\\=-0.700*100\\=-70](https://tex.z-dn.net/?f=%5Cfrac%7BNew-Old%7D%7BOld%7D%2A100%5C%5C%3D%5Cfrac%7B5.3-17.71%7D%7B17.71%7D%2A100%5C%5C%3D-0.700%2A100%5C%5C%3D-70)
So we can say that the percentage decrease is 70%