Answer:
6x + -12 = 3x + 9
Reorder the terms:
-12 + 6x = 3x + 9
Reorder the terms:
-12 + 6x = 9 + 3x
Solving
-12 + 6x = 9 + 3x
Step-by-step explanation:
12 + 6x = 9 + 3x
-12 + 6x = 9 + 3x
-12 + 6x + -3x = 9 + 3x + -3x
6x + -3x = 3x
-12 + 3x = 9 + 3x + -3x
3x + -3x = 0
-12 + 3x = 9 + 0
-12 + 3x = 9
-12 + 12 + 3x = 9 + 12
-12 + 12 = 0
0 + 3x = 9 + 12
3x = 9 + 12
9 + 12 = 21
3x = 21
Divide each side by 3
x = 7
Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
Answer:
Step-by-step explanation:
let x and y be length and width of rectangle.
Perimeter=2(x+y)
area=xy
2(x+y)=1/2 xy
4(x+y)=xy
4x+4y=xy
x y-4y=4 x
y(x-4)=4 x
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
