Answer:
A) 5
Step-by-step explanation:
6(2x+a)=12x+30
6*2x+6*a=12x+30
12x+6x=12x+30
6a=12x+30-12x
6a=30
a=30/6
a=5
Answer:
the answer is D. she loses 75
Step-by-step explanation:
Answer:
Step-by-step explanation:
a|c means that c=a*k k is some positive integer. We know that b|c so b| ak and (a,b)=1, so it must be b|k, i.e k=b*r, r is some positive integer number. Now we have that c=abr, so ab| c.
B) if x and x’ are both solution then we have that
mi | x-x’ for every i.
By a) we have that m1m2...mk| x-x’, so x and x’ are equal by mod od m1m2...mk.
Answer:
She needs about 398 more dollars
Step-by-step explanation: The price of the whiteboard is $989. Add the money from what she collected and the fundraising. 485+106 then you take that and subtract it from 989.
Hope this helped!
Answer:

Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:

You can notice that:

In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:

Substituting those values into the second equation and solving for "y", you get:

You can idenfity that:

Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:

If you substitute those values into the second equation and then you solve for "y", you get:

You can identify that:

Therefore, they are the same line.