Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>
-3/4 = -0.75
5/8 = 0.625
-1/2 and 0.9 are between them
Answer is y = 3sin2(x - pi/4).
Answer:
7/20
Step-by-step explanation:

Answer:
The number of days is at most 5 days
= d ≤ 5 days
Step-by-step explanation:
A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:
She plans to drive 500 miles.
• She has at most $220 to spend.
At most means Less than or equal to $220
The inequality for expressing this = ≤
Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.
$31 × d + $0.13 × 500 miles ≤ $200
The inequality is given as:
31d + 65 ≤ 220
Solving further
31d ≤ 220 -65
31d ≤ 155
d ≤ 155/31
d ≤ 5
Therefore, the number of days is at most 5 days