Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
Answer:
6: d, 7: b and c, 8: a
Step-by-step explanation:
6) The answer is (d).
We have,
0.00001131 =1.131×0.00001
= 1.131/100000
= 1.131×10^-5.
So, this is correct answer.
7) This question have two answers (b) and (c), both are correct.
(b) 480000-97000
= 4.8x100000-9.7x10000
=4.8x10^5-9.7x10^4
(c) 4.8x10^5-9.7x10^4
= 4.8x10^5-0.97x10^5
= (4.8-0.97) x10^5
=3.83x10^5
8)(a)
(4 x 10^3)(5x10^7).
= 4x5x10³x10^7
= 4x5x10^(3+7).
7/5 = 14/10 = 28/20
Numerator = x
Denominator = x-4
Add 3 to both:
x +3 / (x-4+3)
x+3 = 14
(x-4 +3) = 10 = x-1 = 10
x = 11
Check:
11 -4 = 7 ( denominator is 4 less than the numerator.)
add 3 to both:
11+3 = 14
7+3 = 10
14/10 reduces to 7/5
The original fraction would be 11/7
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.
2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)
3. So let a denote the remaining side, then 6 < a < 22, which means a can be any number in between 6 and 22 inches.
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation: