Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that
and that
. Plugging that in into our identity, we get:

And so solving for
:

Answer:
263
Step-by-step explanation:
take the start amount 315 and subtract 78 then add 26 which would amount to 263
Answer:
Step-by-step explanation:
Note. The original question is attached.
<u>Solution:</u>
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
<u>The value of x is:</u>
Correct option is C
Answer:
A 5040
B 35
Step-by-step explanation:
A There are 7 ways to put the first picture. There are 6 pictures left and 6 ways to put the 2nd picture. There are now 5 pictures left and 5 ways to put the 3rd picture. And so on
7 * 6*5*4*3*2*1
5040
B If we can only have 3 pictures and order does not matter
7 choices for the first * 6 *5
But
We have to take into account order
The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6
(7*6*5)/ (3*2*1)
35
<em>x = 4</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>use </em><em><u>Thales theorem</u></em>
<em>x/(x + 8) = 4/12</em>
<em>12x = 4x + 32</em>
<em>12x - 4x = 32</em>
<em>8x = 32</em>
<em>x = 32 : 4</em>
<em>x = 4</em>
<em />
<em>4/(8 + 4) = 4/12</em>
<em>4/12 = 4/12 (true)</em>
<em />
<em>Good luck !</em>