She can arrange the photos as 4 rows of 10 photos and 1 row of 3 photos or arrange the photos as 5 rows of 8 photos and 1 row of 3 photos.
R^2+2r-33=0 move constant to other side by adding 33 to both sides
r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one
r^2+2r+1=34 now the left side is a perfect square...
(r+1)^2=34 take the square root of both sides...
r+1=34^(1/2) subtract 1 from both sides
r=-1+34^(1/2) and -1-34^(1/2)
Answer: (4, 5)
Work:
Substitute the y in the second problem with y=x+1
3x-2(x+1)=5
3x-2x+1=5
x=4
Now solve for y
y=4+1
y=5
Answer:
The answer is 3.6 acres per day
Step-by-step explanation:
To find the unit rate divide the number of acres by number of days
∴ Unit rate = 
÷ 
= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8
= 27/4 × 8/15 = 18/5 = 3.6 acres per day
