Answer:
A) p = 2x - 4 for the expression. B) Your team scored 44 points.
Step-by-step explanation:
Let <u>P</u> represent the points your team made.
Since the question says "Your basketball team scored 4 fewer than twice as many points as the other team." this is how I came up with the expression.
p = 2x - 4 ( our points = 2 times more then the other teams points minus 4.
Using this expression and the given information that the other team made 24 points, I solved B.
44 = 2(24) - 4.
Answer:
b 20.6
Step-by-step explanation:
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20
0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds
0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues
Answer:
379.94 mi²
Step-by-step explanation:
The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).
We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.
The equation now becomes
3.14(11²)
11 squared is 121.
3.14(121)
I recommend splitting the 121 into 100, 20, and 1.
(3.14 * 100) + (3.14 * 20) + (3.14 * 1)
Multiply 3.14 by 100, 20, and 1.
314 + 62.8 + 3.14
Add 314 and 62.8.
376.8 + 3.14
Add 376.8 and 3.14
379.94 mi² is the area of a circle with a 22-mile diameter.
1/50 = x/1500
Cross multiply:
50x = 1500(1)
50x = 1500
x = 1500/50
x = 30 people
Therefore, the answer is b as 30 people will receive free admissions.