Hey there!
1a. Let c=cost of dinner, 5=the # of people, and P=the cost of person
P=C/5
b. <span>P = (1000)/5 </span>
<span>P = 200
</span>
2a. For 1= 19, 2= 38, 57= and so on ( you just multiply the number of season by 19)
b. T= 19n
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We know that:</u>
<u>Surface area is the area of the faces of the cuboid.</u>
<u>Work:</u>
- => 2(7 x 4) + 2(5 x 4) + 2(5 x 7)
- => 2(28) + 2(20) + 2(35)
- => 56 + 40 + 70
- => 166 units²
Hence, <u>Option C is correct.</u>
Hoped this helped.

Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
The answer to this question <span>What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is (7/65/128)</span>
(2x - 1) (x + 7) is the answer to your question!