3/4= j-1/2
first to add 1/2 to both sides to solve for j
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so
3/4 + 2/4 = 5/4
so 5/4 =j
to check your answer you plug 5/4 in for j
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so
5/4 - 2/4 = 3/4
so j = 5/4
Answer:

Step-by-step explanation:

Bring constants to one side, simplify:

*Note that the inequality sign only changes when you divide the whole inequality by a negative number.
Answer:
7 is the greatest number of bags Jason can fill.
Step-by-step explanation:
Given: Jason has 14 raspberry scones and 35 blackberry scones.
Now, finding the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.
∴ we will be using Greatest common factor (GCF) for knowing the number of bags.

∴ 
7 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.
Answer:
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has negative 6 points a the result would be a score of 0
Step-by-step explanation
multiply negative 2 by the 3 incorrect questions, and you get negative 6.
divide 6 by 3 to get 2 to find the number of questions she needs to make correct to break even.
9514 1404 393
Answer:
x + 3y = 9
Step-by-step explanation:
The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.
x + 3y = (6 +3(1)) = 9
The equation of the parallel line is ...
x + 3y = 9