Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Hey there! I'm happy to help!
To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).
The radius is half of the diameter.
12.6/2=6.3
We square this.
6.3²=39.69
We multiply by 3.14
39.69×3.14=124.6266
We round to the nearest hundredth, giving us an area of 124.63 in².
Now you can find the area of a circle! Have a wonderful day! :D
A graphing calculator shows it takes 3.25 seconds for the shoe to hit the building.
_____
200 -16t^2 = 31
169 = 16t^2
√(169/16) = t
t = 13/4 = 3 1/4
Answer: $32.38
Explanation:
64.75 = 100%
So that mean 50% would be half of 64.75
64.75 ÷ 2 = 32.375
C because K is 1,-8 so if you go up 1, -7, and right 4,5. So you get k(5,-7)
