Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
A prime number only has the factors: 1 and itself.
1057 in this case a composite number because it has factors of: 1,7,151,1057
Answer: 5425
Step-by-step explanation:
Answer:
subtract 61 from 90
Step-by-step explanation:
thatb will be your answer
Complete question:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill
The solution x=60 represents the total food bill
Step-by-step explanation:
Given the following :
Total amount spent = $76
Amount paid as tip = $16
Number of friends = 8
Total Cost of lunch consists of:
Actual Cost of food + amount of tip
Let actual cost of food = x
Total cost of lunch is thus :
x + $16 = $76
If the friends are to each the bill equally:
Then:
Divide both sides by 8:
(1/8)* (x + 16) = 76/8
Therefore,
(x + 16) / 8 = 76/8
x + 16 = 76 / 8
(x + 16)/8 = 9.5
x + 16 = 9.5 * 8
x + 16 = 76
x = 76 - 16
x = 60
