Answer:
1 ¹/₉ hours
Step-by-step explanation:
Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.
1 = 2 (L + C)
1 = 1 ⅔ (C + M)
1 = 1 (L + C + M)
Solve the system of equations. First, simplify the equations:
1 = 2L + 2C
3 = 5C + 5M
1 = L + C + M
Double the third equation and subtract the first equation from it:
2 = 2L + 2C + 2M
1 = 2L + 2C
1 = 2M
M = 1/2
Plugging into the second and third equations, we get:
C = 1/10
L = 2/5
Therefore, the time it takes Larry and Moe together is:
1 = t (L + M)
t = 1 / (L + M)
t = 1 / (2/5 + 1/2)
t = 1 / (4/10 + 5/10)
t = 1 / (9/10)
t = 10/9
t = 1 ¹/₉ hours
It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.
Answer:
x = 5
Step-by-step explanation:
8x-9=7x+6-2x
We move all terms to the left:
8x-9-(7x+6-2x)=0
We add all the numbers together, and all the variables
8x-(5x+6)-9=0
We get rid of parentheses
8x-5x-6-9=0
We add all the numbers together, and all the variables
3x-15=0
We move all terms containing x to the left, all other terms to the right
3x=15
x=15/3
x = 5
You just add up all of the sides to find the x
Answer:
Q= 126°
Step-by-step explanation:
Using the picture given, because these are parallel lines broken by a transversal, we can say the following
M=A=Q=F
B=C=D=G
Since, for example, M and C are the same line, we can say that M+C=180 and so on.
M=Q
Q= 126°
Answer:9
Step-by-step explanation:
8 * 9 = 72
8, 16, 24, 32, 40, 48, 56, 64, 72
1, 2, 3, 4, 5, 6, 7, 8, 9