Step-by-step explanation:
rc = planted rows of carrots
rt = planted rows of tomatoes
h = number of hours
rc = 4h + 1 (starting with 1 already finished row there will be 4 additional rows every hour)
rt = 3h + 8 (staying with 8 already finished rows there will be 3 additional rows every hour).
when will they have planned the same number of rows ?
when rc = rt, of course.
so,
4h + 1 = 3h + 8
h = 7
4×7 + 1 = 28 + 1 = 29 rows
after 7 hours Quincy and his mom will each have planted 29 rows of vegetables.
If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.
"Twice the largest is 20 less than the sum of all three" translates to
2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20
Solve for <em>x</em> :
2<em>x</em> + 8 = 3<em>x</em> - 10
<em>x</em> = 18
Then the three numbers are {18, 20, 22}.
<em>It depends how many days you'ill watch the dog, but let's suppose you watch the dog for a week, Your friend #1 will pay you $10 + 2 Per day (10 + 2x = Y) and friend #2 will pay you $15 plus 1 per day ( 15 + 1x = y)
So a week has 7 days so you plug in 7 in "x"
Friend #1 = 10 + 2(7) = 24
Friend #2 = 15 + 1(7) = 22
I'll take friend #1 offer because it pays you more than friend #2.
Hope this answer helps!</em>