Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.
ANSWER
She can make 19 batches of oatmeal.
EXPLANATION
First we can change the mixed number into an improper fraction:
In this problem, r = 2/3. The division is:
Using the KFC rule:
Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:
Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then
( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165
For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
