If all the cheese slices have same mass, say m grams
and mass of 3 cheese slices is 27
so,
m+m+m=27
3m=27
or m=27/3
m=9
thus
mass of one cheese slice is 9 grams
Answer: $1,842
Step-by-step explanation:
John wants to earn 25% of his investment of $50,000 which is:
= 25% * 50,000
= $12,500
He has expenses of $9,600 yearly so the rent he should charge per year in order to make his 25% requirement as income is:
= Expenses + Return
= 9,600 + 12,500
= $22,100
Rent per month is:
= 22,100 / 12
= $1,842
Answer:
0.44444444 or 4/9
Step-by-step explanation:
Since we know the value of 
, we can rewrite the equation replacing the variables.
Now solve. While solving, remember the order of operations.
or 
Answer:
(-8, -6)
Step-by-step explanation:
Given the Point G is (-8,6) if Point J is a reflection of point G and is reflected across the x axis, to get the coordinate of point J, we will negate the y coordinate while retaining the x coordinate value
J = (-8, -(6))
J = (-8, -6)
Hence the required coordinate of J is (-8, -6)
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
