Three math questions. i answered 2 of them, tell me if they are right or not ?
the last 'm not sure how to solve,
the major league baseball regular season consists of 162 games. after playing 54 of their games, your favorite team has won 26 wins.
1. if this trend continues, how many wins will your team have at the end of the season?
162 - 54 games = 108 games left
they have 26 wins
162 divided by 54 = 3
3 x 26 = 78 wins.
2. what is the percentage of games won by the team so far this season? (round to the nearest tenth of a percent.)
26 divided by 54 =0.48
rounded = .50%
3. use your answer to question 1 to find the percentage of games that the team is projected to win for the entire season. (round to the nearest tenth of a percent.)
number 3 is the one i'm having trouble figuring out so explain it to me,
following how you came to it. I think this would have been
a perfect opportunity to use a proportion.
(26 wins so far)/(54 games so far) = ('x' total wins)/(162 total games) .
Cross multiply the proportion: 54x = (162 x 26)
Divide each side by 54: x = (162 x 26) / (54) = 78 total wins.
#2). You need to be a bit more careful with your percents.
26 divided by 54 = 0.4814...
= 48.14 % .
Rounded to the nearest tenth of a percent:
48.14 % ==> 48.1 % .
In #1, you calculated that the team would win 78 games
out of the 162 in the whole season. Now, #3 is asking you
what that percentage will be.
Percentage = (games won) / (games played)
= (78) / (162)
Go ahead and do that division now, and be surprised.
Be very surprised !
How did you calculate the 78 wins for the whole season
in #1 ? How can anyone predict how many they'll win in
the future ? Realistically, they can't. But for the sake of
math, the question gave you a very powerful tool to use.
The question said "If this trend continues ... ".
What's the trend ?
The trend is winning 26 of every 54 games they play.
In #2, you found that this trend translated into 48.1% .
"If this trend continues", then they'll continue to win 48.1%
of all the games they play.
Answer is 2.77012 x 10²⁴
The formula of copper(II) phosphate is Cu₃(PO₄)₂. Hence, 1 Cu₃(PO₄)₂ has 2 P atoms. The stoichiometric ratio between Cu₃(PO₄)₂ and P atom is 1 : 2.
moles of P atoms = moles of Cu₃(PO₄)₂ x 2
= 2.30 mol x 2 = 4.60 mol
According to the Avogadro's constant, 1 mole has 6.022 x 10²³ particles.
Hence, number of P atoms = Avogadro's constant x number of moles
= 6.022 x 10²³ mol⁻¹ x 4.60 mol
= 2.77012 x 10²⁴
It's a - (minus) sign.
This is because √9 is 3, and therefore 6-3=3.
Hope I helped :)
Staying without food for some hours gives a response to the body and the individual feels it that something is not normal because the body starts to experience discomfort from within knowing fully well that that which is needed is lacking.
Food builds us and our immune system, fueling the body with required energy to function properly and live healthy. It boosts our body to fight toxins and sicknesses that might come in to work against health. The reason we feel totally rewarding after eating is because our body feels complete and fully active to function. Using the analogy of a vehicle without gas, it won't have the ability to start and move to anywhere not until gas is filled and once started it answers. This is how food does to our body and without it the required energy to function is lost. We are advised to feed well and also monitor things we eat to avoid getting into our system what will break it down instead of building it, so it is necessary we give ourselves the proper food so as to live a healthy life free from sicknesses.
The equation for the trend line would be y = -1/100x + 25
In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - 25)/(2500 - 5)
m = -25/2500
m = -1/100
Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.
y = mx + b
y = -1/100x + 25
2.30 mol Cu3(PO4)2 ( 2 mol P / 1 mol Cu3(PO4)2) ( 6.022 x 10^23 atoms / mole) = 2.77 x 10^24 atoms P
so the domain of y=6 would be all real numbers and the range would be 6
- = it should equal =
the last 'm no...