48 = 48 * 1 = 24 * 2 = 16 * 3 = 12 * 4 = 8 * 6
So the factors of 48 are: 1, 2, 3, 4, 6, 89, 12, 16, 24 and 48.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48,...
Answer:
Multiples of 4 that are not factors of 48 are: 20, 28, 32, 36, 40, 44.
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
Start with

Separate the variables:

Integrate both parts:

Which implies

Solving for y:

Since
is itself a constant, let's rename it
.
Fix the additive constant imposing the condition:

So, the solution is

Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In your case this theorem sounds as

Solve this equation:

Answer: correct choice is C.