Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, ....
Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]
Substitute the known values,
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0
d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924
Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4) OR (-6 - √13924) / 2(4)
= (-6 + 118) / 8 OR (-6 - 118) / 8
= 112/8 OR -124/8
= 14 OR -15.5
As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.
In short, Your Answer would be 14 [ Remaining root ]
Hope this helps!
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Estimate to nearest hundreds is 600
Estimate to nearest tens is 610 or 520
Answer:
$82.56
Step-by-step explanation:
Earnings for mowing 2 lawns on Peach St
= 2 x $15.32
= $30.64
Earnings for mowing 4 lawns on Onion St
= 4 x $12.98
= $51.92
Total earnings
= $30.64 + $51.92
= $82.56
Before you start the job, gather up your tools.
You need three tools for this job. Let's make sure
you remember how to use them:
#1). 3 is the same thing as 3/1
#2). When you need to divide fractions, turn the
second one upside down, and then multiply them.
#3). When you're multiplying fractions, multiply the numerators
to get the numerator of the answer, and multiply the denominators
to get the denominator of the answer.
Those are the tools you need to solve this problem.
1). 3/4 divided by 3 is the same as 3/4 divided by 3/1 .
2). To divide by 3/1, multiply by 1/3 .
Now you have 3/4 times 1/3 .
3). That's the same as (3 x 1) / (4 x 3) = 3/12 =<em> 1/4</em>
