You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.
After plugging it into the second, you get:
3x + 6*4x = 9 => 27x = 9 => x=1/3
Putting this solution back into y=4x gives us y=4/3
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 45.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 45.5 is 100%, so we can write it down as 45.5=100%.
4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.
5. Now we have two simple equations:
1) 45.5=100%
2) x=6.81%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
45.5/x=100%/6.81%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.81% of 45.5
45.5/x=100/6.81
(45.5/x)*x=(100/6.81)*x - we multiply both sides of the equation by x
45.5=14.684287812041*x - we divide both sides of the equation by (14.684287812041) to get x
45.5/14.684287812041=x
3.09855=x
x=3.09855
now we have:
6.81% of 45.5=3.09855
Hope this helps!
Given:
The expression is
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,

Now,




There are more ways to apply the parenthesis, but we do not get 19.



And many more possibilities.
Therefore, the expression after inserting the parentheses is
.
Answer:
in. by 10 in.
Step-by-step explanation:
2 ft by 3 ft, inches is:
2 * 12 = 24 inch
3 * 12 = 36 inch
24 * 36
Thus, to make 36 into 10, we divide 36 by 3.6 to get 10:
36/3.6 = 10
To keep ratio equal, we need to divide 24 by 3.6 to get:
24/3.6 = 
Thus, Third answer choice is right.
Answer: x=-1 and y= -3
Step-by-step explanation:
Solve for x, x+y=-4
Minus y from both sides so it'll be X=-y-4
Now substitute -y-4 in x-y=2 and solve for y
-y - 4 -y=2
Add like terms, -2y - 4=2
Add 4 to both sides -2y=6
Divide both sides by -2
y= -3
Substitute -3 in x=-y - 4
x=-(-3) - 4
- × (-3)= 3
3 - 4= -1
x= -1