Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12
Step-by-step explanation:
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
for example :-
3x + 4y – 7, 4x – 10, etc.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign
let the quantity mentioned in the question be 'x'
therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is
⇒2x - 12 (answer)
more on algebraic expression at
brainly.com/question/20660076
#SPJ10
So, if k/9=3/9, then k=3, because it is a variable substituting 3. :D Hope I could help!
If 19 out of 28 renters keep a pet, there are 
renters who don't keep a pet.
Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute
So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes
Answer:
Step-by-step explanation:
Add 20 to both sides:
Multiply 8 on both sides:
Divide by 13 on both sides:
