a. 
b. 
c. 
Step-by-step explanation:
Step 1; First, we convert the given fractions into improper ones. To do this, we multiply the whole number with the denominator of the fraction and add with it the same fraction's numerator whereas the denominator remains unchanged. To convert the fraction
3
= (3 × 4) + 1 / 4 =
,
2
= (2 × 3) + 1 / 3 =
,
6
= (6 × 5) + 1 / 5 =
,
4
= (4 × 4) + 1 / 4 =
,
5
= (5 × 7) + 2 / 7 =
,
4
= (4 × 3) + 1 / 3 =
.
Step 2; Now we subtract, using LCM to arrive at the answer
3
- 2
=
-
=
=
,
6
- 4
=
-
=
=
,
5
- 4
=
-
=
=
.
The anwser is 44 in because 5×2=10 for the length and 4×3=12 for the width and since its a square the equation looks like this 12+12+10+10 and thats how you get your anwser p.s. I hope this makes sense XD
hope this helped and dont forget to hit that heart :)
34 Degrees because -7 - 27 = -34
The population increases by a factor 1.0167 every year so the require figure is:
103 * 1 . 0167^5 = 112 million
The first number is positive, so the second has to be positive too so that their product can be a positive number which is 48.
Suppose the first number is x and the second number is y.
We know that:
y = 4 + 2x (4 more meaning adding 4 to sthing and that sthing is twice x hence the 2x)
Moving on, we have x.y = 48 (we replace y by its other value that has x in it so that we have only one unknown variable that we need to find)
<=> x.(4 + 2x) = 48
<=> 4x + 2x^2 = 48
<=> 2x^2 + 4x - 48 = 0 (we add (-48) on both sides)
Now we have to solve the second degree equation, I don't know the exact names of things since I didn't study math in English, but we have to calculate the value of, say, b^2 - 4ac (ax^2 + bx + c)
in this case b = 4 , a = 2, c = -48
so b^2 - 4ac = 16 + 384 = 400, so the square root of that equals 20
now, we have two possible values for x, suppose x1 and x2
x1 = (-4 + 20)/2.a = (-4 + 20)/4 = 16/4 = 4
x2 = (-4 - 20)/2.a = (-4 - 20)/4 = (-24)/4 = (-6) (which is impossible giving that the two numbers must be positive)
So x has to be equal to x1 => x = 4
We find x, and since y = 4 + 2x <=> y = 4 + 2.4 = 4 + 8 = 12
As a conclusion, x = 4 , y = 12