Answer:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )
And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.
You can work it out by using trial and error
so you get
x=3 , y=2
Answer:
Step-by-step explanation:
The standard way of writing equation of a line in a point-slope form is as given;
y - y0 = m(x-x0)
m is the slope of the line
(x0,y0) is a point on the line.
Given the point (-2,-6), in order to determine with of the equation that correctly uses the point, we will substitute the point into the formula and get the necessary equation.
y - y0 = m(x-x0)
y - (-6) = m(x-(-2))
y+6 = m(x+2)
Since we are not given the slope, let's assume the slope is 5/2
The equation becomes y+6 =5/2(x+2). Option D is correct
Given:
The given number is:
To find:
The product of prime factors of given number.
Solution:
We have,
The prime factors of given number are:
<u>2 | 96</u>
<u>2 | 48</u>
<u>2 | 24</u>
<u>2 | 12</u>
<u>2 | 6</u>
<u>3 | 3</u>
| 1
So, 96 can be written as:
Therefore, the 96 as the product of prime factors is .
Answer:
Step-by-step explanation:
