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.
Answer:
so in all it's 4.
Step-by-step explanation:
1: for the drink size.
1: for the kind of drink you want.
1: for the lid or no lid.
1: for the straw or no straw
Answer:
6%
Step-by-step explanation:
Step 1
The fist step is to define the probabilities.
The events are independent from each other. Each team wins with probability
and looses with probability
Let
be probability that Roses win and
be the probability that Roses loose.
Step 2
The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.
The calculation is shown below,

Step 3
The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

Step 4
The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.
Answer:
Estoy prediendo espanol, as translate.
Step-by-step explanation:
Area of fountain is 147.58 and area of path is 28.26