Divide 141 by 2, getting 70.5. Since 70.5 is halfway between two consecutive integers, 70 and 71, these are the locker numbers. (P.S. This method only works with odd numbers.) 70+71=141.
4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8
By just changing the x and numbers you can solve it:
-4x=-8 => x=2
Transformation required to change from red to blue, y = y - 7
Step-by-step explanation:
We are given two parallel lines on a graph.
We know that vertical line is known as the y axis and horizontal line is known as the y axis.
In the given graph the difference between the red and blue lines is 7 blocks towards down which can be noted by moving the point 2 on y axis to the point -5 on y axis will make the parallel lines intersect. So, we have to transform the y coordinates to y - 7 (- for downward movement) factor. So a transformation of y = y-7 on the red line is required to transform it to the blue line.
Answer:
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
Step-by-step explanation:
Let
x ---> ounces of the 18% solution
y ---> ounces of the 45% solution
we know that
The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces
so
----> equation A
The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)
so

-----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (4,8)
see the attached figure
therefore
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8