Answer:
Let's choose the three odd consecutive numbers 1, 3, and 5.
3^2=9
1•5=5
9-5=4
Let's try the same thing, but with the numbers 101, 103, and 105.
103^2=10609
101•105=10605
10609-10605=4
So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Answer: 2x+5y=100 and x+y=38
Step-by-step explanation:
Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9) 
Grouping similar terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
11) 
Rearranging the terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
<u>Multiply:</u>
19) 
Multiplying both fractions:

Dividing numerator and denominator by 3 and simplifying:
This is the answer
21) 

Operating with cross product:


Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29) 

Simplifying:
This is the answer
33) 

Factoring numerator and denominator:

Simplifying:
This is the answer
37) 

Applying the distributive property in numerator and denominator:

Grouping similar terms and factoring by common factor:

Dividing by
in numerator and denominator and simplifying:
This is the answer
Answer:
(d) y= (1 1/9)x
Step-by-step explanation:
A proportional relation is described by the equation ...
y = kx
Dividing by x shows how to find the value of k:
k = y/x
For the given values of y and x, the value of k is found to be ...
k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9
The relationship is represented by the equation ...
y = (1 1/9)
Answer:
(4-1)•n=n•(4-1)
Step-by-step explanation:
It should equal each other so no matter what n equals it will equal each other :3