Answer:
-1.6
Step-by-step explanation:
4x-2/5
=-8/5
=-1.6
Answer:
It will be 3 in by 4 in
Step-by-step explanation:
Original dimension is 6 in by 8 in
If he scale it down by a factor of 1/2
The new dimension will be
1/2(6) by 1/2(8)
= 3 by 4
= 3 in by 4 in
Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13

x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
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