Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step explanation:
We are given:
Y is inversely proportional to x, when Y = 7, x = 4.
We need to tell if the statement is True or False: the constant of proportionality, k, is 20.
Y is inversely proportional to x
We can write it as: 
Now, we need to check when Y=7, x = 4 is true or false
We are given k = 20
Now, I can find value of y, by putting values of k and x in the equation:

When we put x = 4, and k =20, we get Y=5 and not Y=7
So, The given statement Y = 7, x = 4 is False.
Answer:
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Answer:
a =9
b= 28
Step-by-step explanation:
The parts of the ratio must be equal
5:7:a = 20:b:36
How do we get from 5 to 20
We multiply by 4
So multiply the first by 4
5*4:7*4:a*4 = 20:b:36
Ratio 1
5*4 =20 true
Ratio 2
7*4 =b
28 = b
Ratio 3
4a = 36
Divide by 4
4a/4 = 36/4
a = 9
Answer:
Is there an image?
Step-by-step explanation:
Answer:
Length = 12
Width = 6
Step-by-step explanation:
Width = 6 miles less than length;
L = L
W = L - 6
Area = 72 ft²
Area = Length * width
Area = (L * L-6)
Area = L² - 6L
-
L² - 6L = 72
L² - 6L - 72 = 0
L² - 12L + 6L - 72 = 0
L(L - 12) +6(L - 12) = 0
L = 12 or L = - 6
L cannot be negative
Width = L - 6
Width = 12 - 6 = 6
Hence,
Dimension of rectangle :
Length = 12
Width = 6