Firstly, we need to find how many cups of butter is needed to bake
batches. We will need
cups of butter. This is
cups. Since we can only buy butter in boxes with 2 cups of butter in it, we will have to buy 3. This will give us 6 cups of butter, which will be enough. If we only buy 2, then we will only have 4 cups of butter, which won't be enough to bake 15 batches of cookies.
So, the answer is
Solution
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=−
6
3
x+
6
5
y=−
2
1
x+
6
5
The slope of our first line is equal to −
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −
x
1
.
The negative reciprocal of −
2
1
is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
I don't know if my answer is correct but I hope it helps
A would be the correct answer:) hope this helps!!
Answer:
= 3.5 x 10^ -12
Step-by-step explanation:
i hope this helps :)
Answer:1442
Step-by-step explanation:
Given,
Mean is,
Standard deviation,
,
Margin of error(E) = 0.54,
For 98% level of confidence,
Thus, the sample size would be,
