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:
<h2> Amount in liters is 47.9 liters</h2>
Step-by-step explanation:
The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer
Step one:
Given data
Taryn Bought 12.6gallons of gasoline
1 gallon of gasoline is 3.8 liters
We want to convert from gallons to liters
Step two:
----if 1 gallon has 3.8 liters
then 12.6 gallons will have x liters
cross multiply we have
x= 12.6*3.8
x=47.88 liters
Hence the estimated amount in liters is 47.9 liters
Answer:
1.23625 rounded would be 1.24
Answer:
t = 28 minutes
Step-by-step explanation:
Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.
45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance
The equation is given as
45 = 17 + t
Solving for t
t = 45 - 17
t = 28 minutes
Shes spent 28 minutes tap dancing
Answer:
11
Step-by-step explanation:
5+6 11
