Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
Angelo recently opened a bank account and deposits the same amount each week. After 8 weeks, he deposited $280. He wants to deposit a total of 420 in his account. How many weeks will it Angelo to deposit a total of $420
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x ----> the number of weeks
y ----> the total deposit in the bank account
In this problem we have a proportional relationship between the variables x, and y.
we have the ordered pair (8,280)
Find the constant of proportionality k or slope of the linear equation
so
The linear equation is
For y=420
Substitute in the linear equation
Solve for x
Part A:
Given that a<span>t a gymnastics meet, twenty gymnasts compete for first, second, and third place. The number of ways </span><span>first, second, and third place can be assigned</span><span> is given by
Part B:
</span>Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the t<span>hird place has been announced the number of ways that the remaining two places can be assigned</span> is given by :
<span>
</span>
Part C:
Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the third and second places have been announced the number of ways that the <span>first place</span> can be assigned is given by :
Answer:
14/45
Step-by-step explanation:
So we have the fraction:
We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:
Since there is only 1 digit repeating, let's multiply everything by 10. So:
Now, subtract n from both sides:
On the left, substitute the number for n. On the right, combine like terms:
All of the 1s will cancel. So:
Subtract:
Divide both sides by 9:
Remove the decimal by multiplying both sides by 10:
Reduce:
And we're done!
Use a calculator to check:
