The team has played 24 home games.
Let h be the number of home games and a be the number of away games. The total number of games is 49; this gives ush+a=49
They won 2/3 of the home games and 2/5 of the away games; there were 26 games won. This gives us2/3h + 2/5a = 26
In the first equation we isolate h by subtracting a from both sides:h+a-a=49-ah=49-a
Substitute this into the second equation:2/3(49-a)+2/5a = 26
Using the distributive property, we have2/3*49 - 2/3*a + 2/5a = 2698/3 - 2/3a + 2/5a = 26
Finding a common denominator to combine like terms, we have98/3 - 10/15a + 6/15a = 2698/3 - 4/15a = 26
We want to convert the whole number to thirds as well; 26 = 26*3/3 = 78/3:98/3 - 4/15a = 78/3
Subtracting 98/3 from both sides:98/3 - 4/15a - 98/3 = 78/3 - 98/3-4/15a = -20/3
Divide both sides by -4/15:a = -20/3 ÷ -4/15a = -20/3 × - 15/4 = 300/12 = 25
There were 25 away games.
This means there were 49-25 = 24 home games.
1) 37.5%
2) 41/50
3) 0.8333333333...
4) 4%
5) 1/5
6) 1.52
7) 1/4, 32%, 0.4
8) 0.015, 15%, 1/5
9) 1.62, 15/20, 16.2%
10) 17/20, 0.8, 75%
11) 1.9%, 1/8, 0.14
12) 66%, 2/3, 0.67
Answer:
when x=1, y=6. etc.
Step-by-step explanation:
x y
1 6
2 7
3 8
4 9
Answer:
b. 337.5
Step-by-step explanation:
= $1464.71