Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park? 12+5h≥3h+18 12 plus 5 h is greater than or equal to 3 h plus 18 5h+12>18+3h 5 h plus 12 is greater than 18 plus 3 h 12+5h<3h+18 12+5h<3h+18 12+5h≤18+3h 12 plus 5 h is less than or equal to 18 plus 3 h

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

For P:

Since D is at most of P;

This implies that:

So, we have:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)