Answer:
455
Step-by-step explanation:
To simplify this, you would have to turn b^-2 into a positive exponent.
To do this, we have to flip b^-2, which would get rid of the negate from the exponent: -2
3a^4 b^-2 c^3 / b^-2
Then we get the answer:
3a^4 c^3
------------
b^-2
I have a picture to clarify!
I hope this helped, let me know if you don't understand! ^.^
Answer:
3135
Step-by-step explanation:
Givens
a1 = 6
Use t4 - t3 to get d
t4 = 27
t3 = 20
Step One
Find a1 and d
a1 = 6
d = t4 - t3
d = 27 - 20
d = 7
Step Two
Find the 30th Term
tn= a1 + (n -1 )*d
t30 = 6 + (30 - 1) * 7
t30 = 6 + 29*7
t30 = 6 + 203
t30 = 209
Step Three
Find the sum using Sum = (a + t30)*n/2
n = 30 given
a1 = 6 given
t30 = 209 calculated from step 2
Sum = (a1 + t30)*n/2 Substitute
Sum = (6+ 209)*30/2 Combine like terms and divide by 2
sum = 215 * 15 Multiply
Sum = 3135 Answer
Radius = 13 inches
Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches
1 revolution = 81.64 inches
30 revolutions = 2449.2inches
Answer:
65
Step-by-step explanation:
Let x be the number and y be the another one.
x=4y-3
x-y=48
Substitute x=4y-3 into x-y=48
(4y-3)-y=48
3y=51
y=17
[Since we know x is larger than y (4y-3), we need to use y to calculate out x.]
Substitute y=17 into x=4y-3
x=68-3
x=65