Answer:
X= 1, Y= 4, Z= -2
Step-by-step explanation:
(3(6x-2y-3z=4)) + (-2(9x-3y+3z=-9))
Z=-2
Substitute in Z
(6x-2y+6=4) + (3x+2y-4z=7)
X=1
Substitute in Z and X
3+2y-4=7
Y=4
<span>part A:
Let
t = total the liquid in the bottle including lemon juice and water
so t = lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1
part B:
from part A, you have equation t = 0.6t +1
solve for t
t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5
2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
Answer; 47.27 Inches
Let the height of Dagne be x.
Now we are told that she can do a vertical jump that is 27.5% of her height. This is represented as 0.275x.
Now we are told the height she can jump is 13.2. Thus;
0.275x = 13.2
x = 13.2/0.275
x = 47.27 inches
Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
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Three. Reflection, Rotation, and Point