Answer:
code = 56
Step-by-step explanation:
E = GCF(22,30) = 2
F = LCM(3,8) = 24
Given
3 * (7+10) = G +30 => 51 = G + 30 => G = 21
5 * (3+H) = 15 + 45 => 3+H = (60/5) = 12 => H = 12 - 3 = 9
Sum E + F + G + H = 2 + 24 + 21 + 9 = 56
Hope this helps!!!!!!!!!!!
30 mile per hour is the speed suzzy's reference frame is.
Answer:
a) 45
b) 8
Step-by-step explanation:
There are a couple of ways to look at this.
1) Looking at the ratio, you can figure one number from the other.
2) Find what number the ratio must be multiplied by to give the ratio numbers you need
__
<h3>a) </h3>
The ratio tells you the number of children is 9 times the number of adults. If there are 5 adults, there can be 9×5 = 45 children.
You recognize that multiplying the number of adults by 5 will give 5 adults. Then multiplying the number of children by 5 will give the corresponding number of children:
1 : 9 = 5 : 45 (both numbers multiplied by 5)
There can be 45 children.
__
<h3>b)</h3>
The number of adults needed is 1 for every 3 children, or 1/3 of the number of children. When there are 24 children, 1/3×24 = 8 adults are needed.
We recognize that 24 is 3 times 8, so the ratio must be multiplied by 8 to make the children number match:
1 : 3 = 8 : 24 (both numbers multiplied by 8)
8 adults are needed.
Answer:
The inequality representing how many hours he should work in order to reach his goal would be
where 
represents the number of hours Sean works.
Step-by-step explanation:
Hourly earnings of Sean from after school job = $6.70
Let Sean work for hours in order to earn at least $155.
We will use unitary method to find earning for hours.
If 1 hour earnings = $6.70
∴ in hours earnings in dollars would be = 
Now, we know Sean needs at least $155 to buy a new video game.
This means his earnings working hours must be at least $155.
Thus, the inequality representing how many hours he should work in order to reach his goal would be
Dividing both sides by 6.7.
(Answer)
Thus, Sean should work a minimum of 23.14 hours to earn at least $155.
