Answer:
Austin has been the goalie in 6 games.
Step-by-step explanation:
The diagram that models the ratio in the story is a fraction diagram.
Let's represent Austin playing forward as F and Austin being the goalie as G.
According to the story, Austin has played forward in 4 games for every 3 games he has been the goalie. This can be represented as the fraction 4/3.
Now, we know that Austin has played forward in 8 games.
To find out how many games he has been the goalie, we can set up a proportion using the ratio from the story:
4/3 = 8/x
To solve for x, we can cross-multiply:
4x = 3 * 8
4x = 24
Dividing both sides of the equation by 4, we get:
x = 6
Therefore, Austin has been the goalie in 6 games
A
Because trying to move the 14x and 23 to each side with just cancel themselves out and youll get 0=0
Answer:
Set up an equation as 0.2x = 8, which means 20 percent of x equals 8. Solve the equation by dividing each side by 0.2. Dividing 0.2 from each side results in x = 40. Eight is 20 percent of 40.
Step-by-step explanation:
Answer:
30 ft
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Perimeter = x
Length = 1/3x + 2
Width = 1/10x
Length = 9 + 1/10x
Perimeter of the deck = 2(length + width)
x = 2(1/3x + 2 + 1/10x)
x = 2(10x+3x/30 + 2)
x = 2(13/30x + 2)
x = 26/30x + 4
x - 26/30x = 4
30x-26x/30 = 4
4/30x = 4
Divide both sides by 4/30
x = 4 ÷ 4/30
= 4 × 30/4
x = 30 ft
Length = 1/3x + 2
= 1/3(30) + 2
= 30/3 + 2
= 10 + 2
= 12 ft
Width = 1/10x
= 1/10(30)
= 30/10
= 3 ft
Length = 9 + 1/10x
= 9 + 1/10(30)
= 9 + 30/10
= 9 + 3
= 12 ft
The perimeter of the deck = x = 30 ft
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Isolate x:
3x + 2 = 6x - 13
Subtract 3x from both sides:
2 = 3x - 13
Add 13 to both sides:
15 = 3x
Divide each side by 3:
5 = x