Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
Answer:
49
Step-by-step explanation:
When you look at the square of a binomial, you see ...
(x +a)^2 = x^2 +(2a)x +a^2
The constant value (a^2) is <em>the square of half the x-coefficient</em>.
(14/2)^2 = 49 . . . . the value to be added.
Adding 49 gives ...
x^2 +14x +49 = (x +7)^2
Answer:
12,400
Step-by-step explanation:
Let the current employees be x
65% increase in number = 0.65x
If the total number of employees after the increase is 20,460, then;
x + 0.65x = 20,460
1.65x = 20,460
x = 20,460/1.65
x = 12,400
Hence the current number of employees is 12,400
Answer:
4 ÷ 6/9 is also equal to 4 x 9/6. This is because when you divide by a fraction, you change the division sign to multiply and reverse the numerator and the denominator of the fraction. For example, if x/y was a fraction, it would become y/x. THIS IS ONLY DURING DIVISION!
So, we now that 4 ÷ 6/9 is equal to 4 x 9/6. 4 x 9/6 = (4x9)/6 = 36/6 = 6.
