Answer:
x = -1
y = -2
Step-by-step explanation:
5x + 2y = -9 2y = -9 - 5x y=(-9-5x)/2
3x + 4y = -11
3x+4[(-9-5x)/2] = -11
3x+( -36-20x)/2 = -11
3x-18-10x = -11
-7x = 7
x = -1
y = -2
= 3x + 9x = 6x + 42
= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )
= 12x - 6x = 42
= 6x = 42
= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )
= x = 7
Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :
= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42
= 21 + 63 = 42 + 42
= 84 = 84
= LHS = RHS
Hence proved we have derived the correct value of x .
Therefore , the value of x = 7 .
Okay, Chemistry runs every 10 minutes and the Recycling runs every 6 minutes. In order to find what time they both start at the same time you must find the lowest common multiple (if you are using mathematical terminology). To do this the long but visual way you can write out each of the times and find the first ones that are the same.
Chemistry: 10:00 10:10 10:20 10:30
Recycling: 10:00 10:06 10:12 10:18 10:24 10:30
As you can see both Chemistry and Recycling both have a LCM of 10:30 which tells us that the time for which both Chemistry and Recycling start at the same time during the show is 10:30AM.
The answer to this question would be: 5 second
In this question, you are given the initial distance (300ft), car velocity(48ft/s) and the final distance(60ft). You are also given the equation to calculating the distance, so this question should be easier. The question is when the time where the distance is 60 ft. So the answer would be:
distance= 300-48t
60 = 300ft- 48t
48t= 300- 60=240
t= 5
Answer: 60
Step-by-step explanation:
V = w h l = 3 x 5 x 4 = 60
Hope this helped, if not i can do the problem again :)!