Answer:
1. 360 cubic inches
2.(a)360 Cubic Inches, the owner is wrong
(b)6 in X 1 in X 1 in.
Step-by-step explanation:
1. Dimension of the box
Length=9 inch
Width=1 inch
Height=1 inch
Volume=LWH
=9*1*1 =9 Cubic Inches
Volume of the stack( of 40 candles)
=40*9
=360 Cubic Inches
2. Dimensions of Ella' Box are:
Length=10 inch
Width=6 inch
Height=6 inch
Volume=LWH
=10*6*6
=360 Cubic Inches
(a)The owner is not correct. The Volume of Ella's box is equal to the volume of the stack.
(b)Since the Width of the box is 6 Inch, the owner could cut the boxes into dimensions of 6 inX1 inx1 in.
It means each level will contain
(6*10) candles.
There will be 6 layers which equals the exact volume of Ella's box.
Answer:
200.65
Step-by-step explanation:
147 plus 75% or 110.25 minus 22% or 56.59
Answer:
(c) 4
Step-by-step explanation:
Given
The piecewise function
Required
The value in f(x) domain
The domain of f(x) is:
and 
Combine both inequalities:
List the values of the inequality
From the list of given options
Only 4 is among the domain
Others are not
Answer:
12 years
Step-by-step explanation:
The formula to solve the above question i.e to find the time is given as:
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.25%/100 = 0.0225 per year,
then, solving our equation
t = (1/0.0225)((12700/10000) - 1) = 12
t = 12 years
Therefore, if she does not add or withdraw from the account, the time it
will take to have a balance of 12,700 in her account is 12 years
I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
