Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2
Now we just have a simple equation to solve:
1/3x = 1/2
x = (1/2) / (1/3)
Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore
x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5
To check this answer, test the statement. Half is a third of x, where x=1.5:
1.5 / 3 = 0.5 = 1/2
Answer:
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Answer:
3, -3, -1/2
Step-by-step explanation:
There is no need to distribute, just set each parenthesis to equal to zero.
p(x)= (x-3)(x+3)(2x+1)
X-3=0 x+3=0 2X+1=0
+3 +3 -3 -3 -1 -1
X=3 X=-3 2x=-1
x=-1/2
So your answers are 3, -3, -1/2
Step-by-step explanation:
4347 ÷ 21 = 207
4715 ÷ 23 = 205
5200 ÷ 25 = 208
5356 ÷ 26 = 206