Answer:
5/9
Step-by-step explanation:
fraction: 20/45
lcd of 25 and 45 is 5
25 ÷ 5 = 5
45 ÷ 5 = 9
therefore; 5/9
<span>Center (1,-4) and radius =22
General form of a circle is
</span><span>(x -a)² + (y -b)² = r²
where a & b are the (x, y) points of the center
</span>
<span>(x -1)² + (y - - 4)² = 22²
Source:
http://1728.org/circle.htm
</span>
<span>3.12
First, write an equation to express what you know.
g = number of girls
b = number of boys
b * 2.52 + g * x = 2.88(b+g)
Solve for x, first substitute known values for g and b
12 * 2.52 + 18 * x = 2.88(12+18)
Add and multiply what you already know
30.24 + 18x = 86.4
Subtract 30.24 from both sides
18x = 56.16
Divide both sides by 18
x = 3.12
Therefore the GPA of the girls is 3.12</span>
<em>Part A: </em>
Let c represent the total amount of chocolate there is in lbs.
c = 0.25c + 0.75c
<em>Part B: </em>
0.75c represents milk chocolate, and we know that there are 3 lbs of milk chocolate, so you can replace the 0.75c with 3 (representing 3 lbs):
c = 0.25c + 3
Divide all the terms by c:
1 = 0.25 + 3/c
Subtract 0.25 from both sides to combine the like terms:
0.75 = 3/c
Multiply all the terms by c to make the equation easier to work with:
0.75c = 3
Divide both sides by 0.75 to isolate the c and find the total amount of chocolate in pounds.
c = 4
Substitute c for 4 in the term that defines dark chocolate (which was 0.25c)
0.25(4) = 1 pound
Therefore, there was exactly 1 pound of dark chocolate present in the chocolate.
This makes sense, as 1 pound of dark chocolate + 3 pounds of milk chocolate = 4 pounds of chocolate in total, and 1 is 25% of 4 and 3 is 75% of 4.
Answer:
1260
Step-by-step explanation:
sorry if it's wrong