7 7/8 + 5 13/16
We must have a common denominator between the 2 fractions.
8 can go into 16.
7 x 2 = 14
8 x 2 = 16
The fraction is now 14/16 rather than 7/8.
14/16 + 13/16 = 27/16 = 1 11/16
7 + 5 = 12
12 + 1 11/16 = 13 11/16.
The final sum is 13 11/16.
The population after 16 years will be 224758
Regarding question number 47, which is what I can read well ...
Equation 4 (3x-2) ² = 36 It can be solved in the following way:
-Apply distributive property
4 (9x ²-12x +4) = 36
-We order the terms and equalize to zero
36x² -48x +16 -36 = 0
36 x ² -48x -20 = 0
The roots of this equation are
(-48 + √(48 ²-4 ×36 × -20)) / 2 ×36
and
(-48 - √(48 ²-4 × 36 ×-20)) / 2 ×36
Finally the solution is:
option C
x = -1 / 3
x = 5/3
Multiply across for example 3/20= x/100
3*100=300
x*20=20x
then divide by 20 on each side
300/20=15
15=x
<span>88
This problem can be solved two ways. Since the ratio of each side is 3:8, you can use that ratio to calculate the length of each side of the larger triangle and then add them up to get the perimeter. Or you can realize that the perimeter will also have the ratio 3:8 and calculate the perimeter of the smaller triangle and then use the ratio to calculate the perimeter of the larger triangle. Since I'm lazy, I'll be using the second approach.
Perimeter of smaller triangle is 8 + 11 + 14 = 33 cm.
Now we can setup an equation to calculate the perimeter of the larger triangle:
33/3 = X/8
11 = X/8
88 = X
So the perimeter of the larger triangle is 88.</span>
