Answer: 912
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Work Shown:
The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is
an = a1+d(n-1)
an = 3+5(n-1)
an = 3+5n-5
an = 5n-2
Plug n = 19 into the formula to find the 19th term
an = 5n-2
a19 = 5*19-2
a19 = 95-2
a19 = 93
Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96
Multiply this by n/2 = 19/2 = 9.5 to get the final answer
96*9.5 = 912
I used the formula
Sn = (n/2)*(a1 + an)
where you add the first term (a1) to the nth term (an), then multiply by n/2
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As a check, here are the 19 terms listed out and added up. We get 912 like expected.
3+8+13+18 +23+28+33+38 +43+48+53+58 +63+68+73+78 +83+88+93 = 912
There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.
Answer:
8
Step-by-step explanation:
Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.
Hope that this helps!
X^3 = 216
by taking cubic root for both sides
![\sqrt[3]{x^3} = \sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%20%20%5Csqrt%5B3%5D%7B216%7D%20)
x = 6
Answer:
The number of hamburgers is 109.
Step-by-step explanation:
Let h = number of hamburgers
Let c = number of cheeseburgers
The total number sold gives us the equation below.
h + c = 327
"The number of cheeseburgers sold was two times the number of hamburgers sold.
This gives us the equation
c = 2h
Now we substitute c with 2h in the first equation and solve for h.
h + 2h = 327
3h = 327
h = 109
The number of hamburgers is 109.
Hi there!
In order to find your answer, you'll need to use the cross product method :
150 miles → 2 1/2 hours = 150 minutes
x miles → 3 hours = 180 minutes
(150 × 180) ÷ 150 = x miles
27,000 ÷ 150 = x miles
180 = x miles
Your answer is: A train would cover 180 miles in 3 hours.
There you go! I really hope this helped, if there's anything just let me know! :)
