Answer:
- one orange costs $0.35 and one grapefruit costs $0.45
Step-by-step explanation:
<em>let grapefruits be g , let oranges be o</em>
so first equation:
→2g + 3o = $1.95
→g = ($1.95 - 3o)/2
so second equation:
→ 3g + 2o = $2.05
→ g = ($2.05 - 2o)/3
Solving simultaneously:
→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2
→ 2($2.05 - 2o) = 3($1.95 - 3o)
→ 4.1 - 4o = 5.85 - 9o
→ - 4o + 9o = 5.85 - 4.1
→ 5o = 1.75
→ o = $0.35
Therefore one orange costs $0.35
Then one grapefruit costs g → ($1.95 - 3o)/2
→ g = ($1.95 - 3(0.35))/2
→ g = 0.45
Therefore one grapefruit costs $0.45
first is proportional. y is 1 and 1/4 times x
second is not proportional.
reason? divided any y value by its corresponding x value and you'll keep getting 1.25, or 1 and 1/4. and the second one is not proportional because dividing the y values by their corresponding x value will give different answers.
maybe im wrong maybe im right you choose to trust me or not.
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
