Answer:
three times the sum of a number and 4, if n were to represent the unknown number, is:
3(n + 4)
18 more than a number is:
n + 18
If these two are the same, then they are equal to each other, then:
3(n + 4) = n + 18
*Do the distributive property on the left*
3n + 12 = n + 18
*Combine like terms*
2n = 6
*Divide both sides by 2*
n = 3
The number is 3.
Answer:
Step-by-step explanation:
#1 Number of ways picking 2 from 6 = 6C2 = 15
#2 Arranging them in a circle (consider 1 pair AB)
can be done
1,5 (ABBBBB) or (5,1)
2,4 ( AABBBB) or (4,2)
3,3
1,1 (ABABAB)
all up = 7 ways
#3 = product of #1 and #2 = 15x7 = 105
Answer: choice C
Step-by-step explanation:
sorry if wrong
Answer:
x = 0
y = -12
Step-by-step explanation:
Plug in what y is equal to into the second equation
-3(x - 12) = 2x + 36
Distribute the -3
-3x + 36 = 2x + 36
-36 -36
-3x = 2x
They cannot be equal so x = 0
Plug in 0 into the y equation
y = 0 - 12
y = -12
The given circumference is C = 12*pi
The formula for the circumference of any circle, with radius r, is
C = 2*pi*r
Plug in the given value of C and solve for r
C = 2*pi*r
12*pi = 2*pi*r ... C has been replaced with 12*pi
12 = 2*r ... divide both sides by pi (they cancel out)
6 = r ... divide both sides by 2
So r = 6 is the radius
