a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
in this case, 10 video games cost $145
the question's basically asking what you have to multiply 10 by to get 145
y= 145; x=10
k= y/x = 145/10=14.5
the constant of proportionality is 14.5
15 = 3*5
64= 2*2*2*2*2*2
There are no common factors so the GCF is 1
Equation for perimeter is 2L +2W
perimeter of the lot is 390 ft
so we have 390 = 2L +2w
divide all terms by 2:
195 = L + W
rewrite this as L = 195-W ( eq.1)
cost of fence for the length = 36 per foot so we have 36L
cost of fence for width = 6 per foot so we have 6W
the fence was 1 length and 2 sides
so we have 36l + 6w +6w = total cost
total cost is 4980
so we have 4980 = 36L + 6w +6w
combine like terms:
4980 = 36L +12w
replace L with eq1 from above:
4980 = 36(195-w) +12w
distribute:
4980 = 7020 -36w +12w
combine like terms:
4980 = 7020-24w
subtract 7020 from both sides:
-2040 = -24w
divide both sides by -24:
-2040 / -24 = 85
width = 85 feet
using eq1 L = 195 - 85
Length = 110 feet
lond = 110 feet
short = 85 feet
Answer:
You were 5 years old.
Step-by-step explanation:
Brother is 5+x
X is your age.
5+x=10
-5 -5
x=5
Answer :
Option B
Step by step explanation :
As we can see in figure, Triangle is right angled at A
In ∆ABC
By Pythagoras theorem,
BC² = AC² + AB²
=> BC² = (3)² + (4)²
=> BC² = 9 + 16
=> BC² = 25
=> BC = 5 cm
We know,
=
Here,
base = AC = 3cm
height = AB = 4cm
=> =
=> 
=> 
As BC = DE
And then BD = EC
it shows the property of rectangle
So BD = 6 cm
Now,
=> Area of rectangle = 6cm x 5cm
=> 
Now,
Area of the figure = Area of rectangle + Area of triangle
=> Area of the figure = 30cm² + 6cm²
=> 
Therefore, <u>option B</u> is the correct answer for this question.
