Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
Answer:
31 raffle tickets
Step-by-step explanation:
23.25 divided by 0.75 = 31
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Answer:
y-b/m = x
Step-by-step explanation:
y = mx + b
~Subtract b to both sides
y - b = mx
~Divide m to both sides
y-b/m = x
Best of Luck!
Let's assume
shorter side as x
so, first side =2x
third side =x+19
now, we can find perimeter of triangle
perimeter of any triangle is
first side + shortest side + third side
so, we get
we are given perimeter=187
so, we can set it to 187
and then solve for x
so,
shortest length is x=42 feet
First side =2x=2*42=84feet
third side =x+19=42+19=61 feet
so, dimensions are
first side is 42 feet
second side is 84 feet
third side is 61 feet................Answer