Answer:
L = 12 S = 5
Step-by-step explanation:
L+S=17
3L+2S=46
Multiply the first equation by -2
-2L -2S = -34
Then add it to the second equation
-2L -2S = -34
3L+2S=46
------------------
L = 12
Now we can find S
L+S = 17
12 + S = 17
Subtract 12 from each side
S = 17-12
S = 5
Hi Cherise1cherhop lets break this equation down with these steps:
1) add the whole numbers first
2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication
3) make the denominators (bottom numbers) the same as the LCD (42)
4) simplify it, now the denominators are equal
5) join the denominators together
6) simplify it (3 + 65/42)
7) convert 65/42 to mixed fraction
8) now that we made it a mixed fraction, simplify it
Answer: 4 23/42
Answer:
G) -12
Step-by-step explanation:
x is increasing by 2
y is decreasing by 24
-24 / 2 = -12
Answer: rate of train A = 120 km/h
rate of train B = 101 km/h
Step-by-step explanation:
Let x = the speed of train A
Let y = the speed of train B
One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,
x = y + 19 - - - - - - - - - -1
Recall
Speed = distance/time
Distance = speed × time
If they meet in 3 hours, it means that train A has travelled a distance of
x × 3 = 3x km
And train B has travelled a distance of y × 3 = 3y km
Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,
3x + 3y = 663 - - - - - - - - - 2
Substituting x = y + 19 into equation 2, it becomes
3(y + 19) + 3y = 663
3y + 57 + 3y = 663
6y + 57 = 663
6y = 663 - 57 = 606
y = 606/6 = 101 km/h
x = y + 19 = 101 + 19
x = 120 km/h
