Answer:
260 gallons
Step-by-step explanation:
An estimate of 26.5% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning,
Percentage of water used for cleaning= 26.5%
Gallons of water used for cleaning= 68.9
Let the number of gallons used everyday be represented by g. This will give:
26.5% of g = 68.9
26.5/100 × g = 68.9
0.265 × g = 68.9
0.265g = 68.9
Divide both side by 0.265
0.265g/0.265 = 68.9/0.265
g= 260
260 gallons of water are used everyday
3w-7w-12=2w-6
-4w-12=2w-6
-12=6w-6
-6=6w
w=-1
Answer:
reflect y = cos x over the x-axis
Step-by-step explanation:
When a function is reflected over the x-axis, the transformation is:
y = -f(x)
If it were reflected over the y-axis, the transformation would be:
y = f(-x)
Two matrices are the same if the entries of the two matrices in the same row and column are the equal.
For this equation to hold, we need
5x - 8 = 2
5x = 10
x = 2
X+y=2
y=1/2x+5
x+ y=2
-1/2x+y =5
Subtracting the two equations;
3/2x=-3
x=-2
Replacing in the first equation;
-2+y=2
y=4
They would intersect at (-2, 4)
