1. 3x-5<19
3x-5+5<19+5
3x<24
3x/3<24/3
x<8
2. -2x+12<-4
-2x+12-12<-4-12
-2x<-16
-2x/-2>-16/-2
x>8
3. Because the numbers are positive when divided.
4. The inequality sign is reversed because the 2nd to last step is divided by by a negative number. (This is also the same for multiplication)
5. -7d+8>29
-7d+8-8>29-8
-7d/7>21/-7
d>-3
6.12-3b<9
12-12-3b<9-12
-3b/-3>-3/-3
b>1
7.z/7-6=>-5
z/7-6+6=>-5+6
z/7*7=>1*7
z=>7 (what grade are you in?!)
<em>Answer:</em>
<em>$0.38 per yard</em>
<em>Step-by-step explanation:</em>
<em>Step 1:</em>
Given; A 9-yard roll of string that costs $3.42.
Required; To find the unit price
<em> Step 2:</em>
Convert $3.42 to cents
<em>Step 3:</em>
<em>Find the unit price</em>
<em>Convert to dollars</em>
Hence the unit price is $0.38 per yard.
Answer:
Monday, at 12:15 AM
Step-by-step explanation:
Do this question in parts. First, add 2 days to Friday to get Sunday at 5:45 PM. Then, add 6 hours to 5:45 to get 11:45 PM. Finally, add 30 minutes to 11:45 PM. That takes you to 12:15, and since you passed midnight, Sunday is now Monday. That means the bus arrives Monday, at 12:15 AM.
Answer:
0.000025
Step-by-step explanation:
PEMDAS (Exponets first.)
10^5 = 100,000
10^10 = 10,000,000,000
rewrite
2.5 x 100,000 divided by 1.0 x 10,000,000,000
PEMDAS (multiplication next.)
2.5 x (10^5) = 250,000
1.0 x (10^10) = 10,000,000,000
rewrite.
250,000 divided by 10,000,000,000 = 0.000025
0.000025
0.06 = 6/100
When simplified, that's 3/50 .
0.06666666666 = 6,666,666,666/10,000,000,000
When simplified, that's 3,333,333,333/5,000,000,000 .
