Answer:
(x,y) = (-2,7)
Step-by-step explanation:
7x+2y=0
9x+4y=10
y = -9x/4 + 5/2
7x+2 (-9x/4 + 5/2) = 0
5x/2 = -5
5x = -10
x = -2
use x and substitute to get y
y = -(9/4) (-2) +5/2 = 7
Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let 
, 
, 
be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
(1)
(2)
Final ratio
(3)
After some algebraic handling we get the following system of linear equations:
(1)
(2)
(3)
The solution of the system of linear equations is:
, 
, 
There are 150 blue marbles in Alex's bag.
Answer:
63/24
Step-by-step explanation:
First you change the whole 2 to have a fraction of 48/24.
Next you have change 5/8 so its denominator has a 24. So you multiple the 8 by 3 to get 5/24. But then you have to multiply the 5 by 3 also so it is still the same fraction just bigger and you get 15/24. Now add the 15/24 with 48/24 to get 63/24.
Hope this helps!
Since the 9 is greater than or equal to 5, we'll round our number up by adding 1 to the 3 in the hundreds place, making it a 4. And also by changing all digits to the right of this new 4 into zeros.
And our rounded number would be 400
Answer: 180 degrees
Step-by-step explanation:
The measure of the arc of a semicircle is 180 degrees.
