Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
The easiest way think of .36 as 36/100 and then divide by 2's.
36/100
18/50
9/25
Answer:
Step-by-step explanation:
12 + 4c + c = c + 4
12 + 5c = c + 4
12 + 4c = 4
4c = -8
c =-2
The exact length of the arc is 226.08 inches.
<h3 /><h3>Length of arc:</h3>
where
∅ = central angle
m ABC = 324 ° = ∅
length of arc = 324 / 360 × 2 π × 40
length of arc = 25920π / 360
length of arc = 25920 × 3.14 / 360
length of arc = 81388.8 / 360
length of arc = 226.08 inches.
learn more on length of arc here: brainly.com/question/16117492
Answer:
5.0575
Step-by-step explanation:
1.75 x 2.89 = 5.0575