The answer is 2.6 m/s
The speed (v) is distance (d) through time (t).
v = d/t
We know:
d = 390 m
t = 150 s
v = d/t
v = 390 m / 150s
v = = 2.6 m/s
Answer:
Xena earns $144 per a week.
Step-by-step explanation:
Harry earns - $ h
Xena earns - $ x
George earns -$ g
Harry earns $45 a week more than Xena. h= x+45
George earns $18 a week less than Xena. g = x - 18
If Harry earns the same amount in two weeks that George earns in three weeks
2h = 3g
So, we have the system of 3 equations:
h= x+45
g = x - 18
2h = 3g (*)
Substitute values of h and g into equation (*)
2(x+45) = 3(x-18)
2x + 90 = 3x - 54
90+54 = 3x- 2x
x= 144
Answer:
hey
Step-by-step explanation:
to calculate perimeter, you require length,breadth
since points are given,find distance between points using distance formulae
<h2>root over (x2-x1)² +(
y2-y1)²</h2>
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<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>
Now find distance between HI and IJ
HI gives the distance - length of rectangle
IJ gives the distance - breadth of rectangle
use the formulae ,2(length+breadth) to get perimeter
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HI= root over 144+256= root 400
HI=20
IJ= root over 16+9= root 25
IJ=5
PERIMETER =2(20+5)
2×25
=50
Solve for x:x/5 - 2 = x/2 + 3
Put each term in x/5 - 2 over the common denominator 5: x/5 - 2 = x/5 - (10)/5:x/5 - (10)/5 = x/2 + 3
x/5 - (10)/5 = (x - 10)/5:(x - 10)/5 = x/2 + 3
Put each term in x/2 + 3 over the common denominator 2: x/2 + 3 = x/2 + 6/2:(x - 10)/5 = x/2 + 6/2
x/2 + 6/2 = (x + 6)/2:(x - 10)/5 = (x + 6)/2
Multiply both sides by 10:(10 (x - 10))/5 = (10 (x + 6))/2
10/5 = (5×2)/5 = 2:2 (x - 10) = (10 (x + 6))/2
10/2 = (2×5)/2 = 5:2 (x - 10) = 5 (x + 6)
Expand out terms of the left hand side:2 x - 20 = 5 (x + 6)
Expand out terms of the right hand side:2 x - 20 = 5 x + 30
Subtract 5 x from both sides:(2 x - 5 x) - 20 = (5 x - 5 x) + 30
2 x - 5 x = -3 x:-3 x - 20 = (5 x - 5 x) + 30
5 x - 5 x = 0:-3 x - 20 = 30
Add 20 to both sides:(20 - 20) - 3 x = 20 + 30
20 - 20 = 0:-3 x = 30 + 20
30 + 20 = 50:-3 x = 50
Divide both sides of -3 x = 50 by -3:(-3 x)/(-3) = 50/(-3)
(-3)/(-3) = 1:x = 50/(-3)
Multiply numerator and denominator of 50/(-3) by -1:Answer: x = (-50)/3
