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It takes 6 hoursto complete the work for both Lisa and Tom working together.
Step-by-step explanation:
step 1 :
Let us assume that,
Total work = 130 units (take a number that can be divisible by both 10 and 13)
step 2 :
Lisa completes the work in 10 hours.
Lisa's work per hour=total work / time taken to complete the work
= 130 / 10 = 13 units per hour
step 3 :
Tom completes the work in 13 hours.
Tom's work per hour =total work / time taken to complete the work
= 130 / 13 = 10 units per hour
step 4 :
Both Lisa and Tom can work per hour = 13 units + 10 units
= 23 units per hour
step 5 :
Working together can complete the total work in = total work / time taken to complete the work together
= 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).
∴ Time taken by working together = 6 hours.
Yes, parallel lines do not touch each other ever.
Parallellines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
We are given that Ali says if two lines share a point they cannot be parallel .
Horizontal refers to something that goes parallel to ground level. Of course it depends on from where you see that thing.
When you slice an object horizontally, you cut it parallel to ground.
We know that parallel linesdo not touch each other ever.
so that's make ali statement correct.
Learn more about parallellines here:
#SPJ5
Answer:
There are 16 games in a season.
Step-by-step explanation:
8 games per month
The season is played for 2 months.
There are 2 * (Games per month) games in a season.
Substitution
There are 2 * (8) = 16 games in a season.
There are 16 games in a season. Hope this helps :)
Answer:
x =-2 and z =-4
Step-by-step explanation:
We need to solve the following systems of equation
-3x-2y+4z = -16 eq(1)
10x+10y-5z = 30 eq(2)
5x+7y+8z = -21 eq(3)
Multiply eq(1) with 10 and eq(2) with 3
-30x-20y+40z = -160
30x+30y-15z = 90
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10y+25z = -70
Divide by 10
2y+5z = -14 eq(4)
Multiply eq(1) with 10 and eq(3) with 6
-30x-20y+40z = -160
30x+42y+48z = -126
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22y+88z = -286
Divide by 11
2y+8z = -26 eq(5)
Subtract eq(4) and eq(5)
2y+5z = -14
2y+8z = -26
- - +
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-3z = 12
z = 12/-3
z = -4
Putting value of z in eq(4)
2y+5z = -14
2y +5(-4) = -14
2y = -14 +20
2y = 6
y = 3
Putting value of z and y in eq(1)
-3x-2y+4z = -16
-3x-2(3)+4(-4) = -16
-3x -6 -16 = -16
-3x = -16+16+6
-3x = 6
x = 6/-3
x = -2