Answer:
A. 16
Step-by-step explanation:
We can use a ratio to solve
4 bracelets x bracelets
----------------- = -------------
12 minutes 48 minutes
Using cross products
4 * 48 = 12x
192 = 12x
Divide by 12 on each side
192/12 =12x/12
16 =x
Answer:
C
Step-by-step explanation:
Let the first term be a and the common ratio be r.
ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3
1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
If Jordan has $55 and she earns $67 by doing chores, you can calculate how much money does Jordan have now using the following step:
$55 + $67 = $122
Result: Jordan has $122.
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
