Answer:
The given series can be written as
4
∑ (5)^i
i = 0
We know that the series is
1+5+25+125+625
This is equal to
(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4
Thus,
For i from 0 to 4,
We get the general representation.
56348372828282828348484959382829594
Let
x-----> the number of hours that Candice spent doing her homework
y-----> the number of hours that Ronald spent doing his homework
we know that

convert mixed number to an improper fraction

so
-------> equation A
------> equation B
Substitute equation A in equation B

convert an improper fraction to a mixed number

therefore
<u>the answer is the option B</u>

Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3, 
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x +
+ z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3
+ 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
4.50x = 900
x = 200
Teens (y):
y =
=
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
Answer: 7 inches
Step-by-step explanation:
4 times 1 3/4 is 7