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.
Answer:
proportion= 1:23
answer= 414 miles
Step-by-step explanation:
115/5 to see how many miles per gallon the car gets
23
18×23 to see how far they will get
414 miles
8 minus 3 equals 5
Negative 1 minus 9 is negative 10
5 times negative 10 is <u>negative 50.</u>
Answer:
1. 27
2. 27
3. 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
we have
Solve for h
That means ----> isolate the variable h
step 1
Multiply by 6 both sides
step 2
Divide by 
both sides
