First we need to get some expressions:
"Four times the number of white marbles" = 4*w
"9 times the number of red marbles" = 9*r
"...exceeded...by 10": So 4*w is 10 more than 9*r or 4*w = 9*r +10
"ratio of blue marbles to red marbles is 3 to 1" : b/r = 3/1
b=3*r
"there is a total of 65 marbles": b+r+w=65
So our system becomes
b = 3*r
65 = b+r+w
4*w = 9*r+10
The first equation allows us to substitute immediately into the second equation so
65 = 4*r+w
however, we can divide the third equation by 4 to get w:
w = (9*r)/4+10/4
This can then be plugged into the second to get:
65 = 4*r+(9*r)/4+10/4 = (16*r)/4 + (9*r)/4+10/4 = (25*r+10)/4
260 = 25*r+10
250 = 25*r
r=10
Now we simply plug this result into the substitutions to get w and b:
w = 90/4+10/4 = 100/4 = 25
b=30
So there are 10 red marbles, 25 white marbles, and 30 blue marbles
Now it sounds like we should be picking some out at random ;)
Answer: Consider the equation
Taking square root on both the sides of the equation, we get
Consider
adding '1' to both sides, we get
Dividing by '3', we get
Consider
adding '1' to both sides, we get
Dividing by '3', we get
So, the solution set for this equation is and .
Question 2:
Consider the equation
We will use quadratic formula, we get
So, the solution set for this equation is .
Question 3:
Consider the equation
By using the quadratic formula, we get
so, the solution set for this equation is .
Step-by-step explanation:
Answer:
x=28
y= -4
Step-by-step explanation:
9x+6y= -12
-x-4y= -12
multiply -x-4y=-12 by 9 so the x's are equal
9x+6y= -12
-9x-36y= -108
add the equations so the x's cancel out
-30y=120
y= -4
plug y into an equation to find x
-x-4(-4)=-12
-x+16= -12
-x= -28
x=28
Answer:
(Y-5)=-2/5(x+8)
Step-by-step explanation:
Point slope form is (y2-y1)=m(x2-x1)
Answer:
1) 3/13
2)? im not sure
3) 2/7
4)2/14
im not sure they might be wrong