Given:
Total number of marbles in the bag = 150
There are 21 blue marbles for every 4 white marbles.
To find:
The number of blue marbles in the bag.
Solution:
Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.
Let the number of blue marbles be 21x and white marbles be 4x.
Total number of marbles in the bag = 150


Divide both sides by 25.


Now,



Therefore, the number of blue marbles is 126.
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then 
when x= -1 then 
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
To get the value of n u have to set n by itself, first we have to set teh smallest n to teh other side this will give you 0=8+2n now subtract the 8 from both sides because it is positive and the only way to get rid of a positive is with a negative this will give you -8=2n, now to set n by itself divide by 2 in both sides because in order to get rid of a multiplication you have to divide, this will give you n=-4, so your answer will be letter A
Hope this helps
Answer:The quotient of -100 and -5 is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.
Step-by-step explanation:
-100/-5 = 20
100/5 = 20