To solve for a variable, we simply need to isolate the variable and simplify all other terms. We can do this by performing the opposite operations to both sides.
In this case, we also need to remember that if our fractions have different denominators, we multiply the numerator and the denominator by whatever value makes them have equal denominators. That is 3, here.
z-4/9-1/3=5/9
+4/9 +4/9
z-1/3=9/9
z-3/9=9/9
+3/9+3/9
z=12/9
Using the math above, we can see that z=12/9 or 1 1/3.
Answer: 26.8
Step-by-step explanation:
4.5x6.4=28.8m
1.2x0.6=0.72m
1.6x0.8=1.28m
0.72+1.28=2m
28.8-2=26.8
Answer:
833.25 or 877.59
Step-by-step explanation:
I solved this in two different ways because I wasn't sure on how the question was meant to be read.
Attempt 1:
(833.3/1)-(1+0.00833)^-360
(1+0.00833)^-360 = 0.0505
so:
833.3 - 0.0505 = 833.25
Attempt 2:
833.3/(1-(1+0.00833)^-360)
1- 0.0505 = 0.9495
833.3/0.9495 = 877.59
6 quarters and 7 half dollars
6(.25)=1.5
7(.5)=3.5
1.5+3.5=5
Answer:
(I can not see the options, so I will answer in a general way)
When we have a system of linear equations:
y = a*x + b
y = c*x + d
We have 3 possible options:
One solution: This happens when the lines intersect only one time, and the solution of the system is the point where the lines intersect.
No solutions: This happens when the lines do not intersect, is the case for parallel lines (lines with the same slope but different y-intercept)
Infinite solutions: This happens when the lines do intersect at infinite points, is the case for two equal lines (so both equations represent the same line)
Now we have the system:
y = m*x + b
y = -2*x + A
We want to find values of m and b, such that this system has no solutions.
Then we know that the lines must be parallel, again, the lines must have the same slope but different y-intercept.
Then we can use:
m = -2, b = A + 1
we will get:
y = -2*x + (A + 1)
y = -2*x + A
This system has no solutions.
Other pair can be:
m = -2, b = A + 3
we will get
y = -2*x + (A + 3)
y = -2*x + A
This system has no solutions.