Step-by-step explanation:
Let the present age of father = x years
and the present age of son = y years
according to the first condition
x + y =44 ........(i)
according to the second condition
x+8 = 2(y+8)
or x+ 8 = 2y + 16
or x- 2y = 8 ............(ii)
solve the equation (i) & (ii) we get
x + y =44
x- 2y = 8
••••••••••••••••••••••••
3y = 36
or y = 12
put the value of y in equation (i), we get
x + 12 =44
or x = 32
so the present age of father = x =32 years
and the present age of son = y = 12 years.
Answer:
7 ft 1 1/4 in
Step-by-step explanation:
The total width of 3 paintings and 2 spaces is ...
(10.5 in) + (3 in) + (3 ft 6 in) + (3 in) + (2 ft 2 3/4 in)
= (10.5 +3 +6 +3 +2.75) in + (3 +2) ft
= 25.25 in + 5 ft = 1.25 in + 24 in + 5 ft
= 7 ft 1 1/4 in
The total width of wall space needed for the paintings is 7 feet 1 1/4 inches.
_____
If two more 3-inch spaces are added, one on each end, then the total width is 7 feet 7 1/4 inches. The problem isn't clear about that, saying only that there are spaces between the paintings.
Answer: The total cost was $13,585.00.
Step-by-step explanation:
13 * 425 = 5,525
13 * 620 = 8,060
8,060 + 5,525 = 13,585
Answer:
t= -1.33 recurring and -2
Step-by-step explanation:
3t²+4t+8=-6t
3t²+4t+6t+8
3t²+10t+8
This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.
-b±√(b²-4ac)/2a
Where a=3, b= 10 and c=8
-10±√(10²-4(3)(8))/2(3)
-10±√(100-96)/6
(-10±√4)/6
(-10±2)/6
-10+2/6 or -10-2/6
-8/6 or -12/6
-1.3333 recurring or -2
u is at (1,-2)
V is at (-6,-6)
using distance formula it is about 8.06 long
so Answer is C