Answer:
The number of cups of milk does dairy produce is 8192
Step-by-step explanation:
Given as :
The average per day production of milk = 512 gallons
We know that the measure of 1 gallons is equivalent to 16 cups
So, The conversion of gallons in cups as
<u>1 gallons = 16 cups</u>
Now ,
∵ 1 gallons = 16 cups
∴ 512 gallons = 16 × 512 cups
I.e 512 gallons = 8192 cups
Hence The number of cups of milk does dairy produce is 8192 Answer
Answer:
Step-by-step explanation:
STEP 1: Rewrite 
as 
.
STEP 2: Let 
. Substitute 
for all occurrences of 
.
STEP 3: Factor using the AC method.
STEP 4: Replace all occurrences of with 
.
STEP 5: Rewrite 
as 
.
STEP 6: Since both terms are perfect squares, factor using the difference of squares formula,
where 
and 
.
STEP 7: Rewrite 
as 
.
STEP 8: Factor.
Answer:
6
Step-by-step explanation:
You have to add like terms. So the 5n and -5n would cancel each other out (because 5-5=0) and 9-3=6.
First, multiply both sides by m:
s*m = w - 10e
Then add 10e to both sides to isolate w:
s*m + 10e = w
or
w = s*m + 10e
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
