Answer:
Step-by-step explanation:
The first step is to take p on both sides:
On the right hand side, cancel p and -p, since . The equation will be:
Then, divide both sides of the equation by p*t:
On the right hand side, p*t can be cancelled:
Answer:
r=A-p (the line is the bar so this is a-p over pt)
pt
Step-by-step explanation:
P+Prt=A
Prt=A−P isolate the term which contains r
Prt=A−P
divide pt by each side
b + -78 = 10
Answer:
Step-by-step explanation:To convert part-to-part ratios to fractions:
Use the total number as the denominator: 6 + 8 = 14.
Use each of the ratio terms as the numerator in a fraction: ...
Reduce each fraction to lowest terms: ...
The part-to-part ratio 6 : 8 converts into the fractions:
length that is 1/2 the side length of Pat’s cube. What is the volume, in cubic inches, of Carly’s cube?
Answer:
Explanation:
The volume of a cube is calculated as the length of the side raised to the cube:
1. Cube drawn by Owen
From the drawing:
2. Cube drawn by Pat
Side length is 3 units greater than the side length of Owen’s cube:
3. Cube drawn by Carly
Side length is 1/2 the side length of Pat’s cube:
63³-343 = 261801
Factor the following integer:
261'801
The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.
261801 = 9×29089:
261801 = 9×29089
9 = 3^2:
261801 = 3^2×29089
Because 29089 is odd, only test odd numbers for divisibility.
29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.
29089 = 19×1531 which means 29089 is divisible by 19:
261801 = 3^2×19×1531
3 is prime:
261801 = 3^2×19×1531
Because 19 is odd, only test odd numbers for divisibility.
19 is not divisible by 3.
Since 19 is not divisible by any integer up to 4, it is prime:
261801 = 3^2×19×1531
Because 1531 is odd, only test odd numbers for divisibility.
1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.
Since 1531 is not divisible by any integer up to 39, it is prime:
261801 = 3^2×19×1531
There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:
Answer: 261801 = 3^2×19×1531