Answer:
<em>Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.
Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.
Gift bags are sold in packs of 6. Bows are sold in packs of 9.
List the prime factors of 6: 2,3
List the prime factors of 9: 3,3
Multiply: 2*3*3=18
The LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.
The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310
Given:
Charge per day = $54.35
Charge per mile = $0.09
Total miles = 425 miles
Amount to spend = at most $310
let
d = number of days
The inequality:
54.35 × d + 0.09 × 425 ≤ 310
54.35d + 38.25 ≤ 310
54.35d ≤ 310 - 38.25
54.35d ≤ 271.75
d ≤ 271.75 / 54.35
d ≤ 5 days
Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days
Read more:
brainly.com/question/11166576
Answer:
Step-by-step explanation:
A = the area of the region outside the semicircle but inside the rectangle
w = the width of the rectangle or diameter of the semicircle
Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).
A(w) = (area of rectangle) - (area of semicircle)
Where,
lenght of rectangle (l) = w + 5
width of rectangle (w) = w
r = ½*w = 
Plug in the values:
Simplify
Answer: look at the picture
Step-by-step explanation: Hope this help :D
