Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Step-by-step explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16
Answer:
3 times
Step-by-step explanation:
Given
18-white socks
18 blue socks
36 socks total
First time reached in,
18/36 ( =1/2=(50%)) chance of getting a white sock, 18/36 (=1/2=(50%)) chance of getting a blue sock
assuming you got a white sock,
17-white socks
18-blue socks
35 socks left in
Second time reached in,
17/35 (<1/2=(50%)) chance of getting a white sock, 18/35 (>1/2=(50%)) chance of getting a blue sock
You would be more likely to get a blue sock, assuming you did,
17-white socks
17-blue socks
34 socks left
Third time reached in,
17/34(=1/2=(50%)) chance of getting a white sock, 17/43(=1/2(50%)) chance of getting a blue sock
Regardless of what sock is picked you would have a matching pair of socks in hand
Answer:
(-21,-19)
Standard form
Step-by-step explanation:
We are given the equation of circle
General equation of circle:
Centre: (-g,-f)
Radius: 
Compare the equation to find f, g and c from the equation
Centre: (-21,-19)
Radius (r) 
Standard form of circle:
The centre of circle at the point (-21,-19) and its radius is .
The general form of the equation of a circle that has the same radius as the above circle is standard form.
B 9.5 to the nearest 10th
C 20 to the nearest whole number
= 2 x 
x 6 = 12