Answer:
The answer is D 400 ÷ 10
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
128 cubes.
Step-by-step explanation:
Volume of each cube = (1/4)^3 = 1/64 cubic units.
Number of cubes that will fill the prism
= 2 / 1/64
= 2*42
= 128 answer
During year 1, Franklin's sign read "Franklin: Population of 20,000", while Chester's sign read
"Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by
5% each year, and Chester's population grew by 500 people each year.
What is the first year in which Franklin's sign shows a larger number than Chester's sign?
Answer:
Franklin's population < Chester's population by 4500
Step-by-step explanation:
Franklin: 20000 (1 + 0.05) = 21000 (21000 - 20000 = 1000 grew)
Chester: 25000 + 500 = 25500 (500 increase)
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we set up an equation and solve for the year. The first year is year 6.
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we need to set up an equation and solve for the year. Let's denote the year as 'y'.
Franklin's population can be represented as: 20000 + (20000 * 0.05 * y).
Chester's population can be represented as: 25000 + (500 * y).
Setting up the equation, we have: 20000 + (20000 * 0.05 * y) > 25000 + (500 * y).
Simplifying the equation, we get: 1000 * y > 5000.
Dividing both sides of the equation by 1000, we find that y > 5.
Therefore, the first year in which Franklin's sign shows a larger number than Chester's sign is year 6.
#SPJ2
RootIndex 4 x StartRoot 16 EndRoot cubed
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Answer:
Option A
Step-by-step explanation:
We want to find an expression that is equivalent to
Recall that:
We apply this property of exponents to rewrite our expression:
We set a=16, n=4 and m=3x
This implies that:
The first choice is correct.
Answer:
A
Step-by-step explanation:
edg review 2020
Answer:
$969.70
Step-by-step explanation:
The deductions add up to $580.30. So deduct $580.30 from $1,550, which equals 969.70