Multiply: (4x – 7)(2x – 9)
1 answer:
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The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
Price for 150 bag = $38
Cost per bag = $40 / 150 = $0.25
Also:
Price for 50 bag = $15
Cost per bag = $15 / 50 = $0.30
Difference in price = $0.30 - $0.25 = $0.05
The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag
Find out more on equation at: brainly.com/question/2972832
Answer:
10√2 inches (second option)
Explanation:
visualise a square in your head. then, imagine a diagonal running through it. that diagonal would separate the square into two triangles. so to find the diagonal, we first need to find the length of the square (which would serve as the base and height of the triangle).
we can simply divide the perimeter by 4 to get the length of each side, which would then be 40 ÷ 4 = 10.
next, we can use the formula of the pythagorus theorum! it states that a² + b² = c², where a, b and c are represented by the following image:
for our equation, this would translate to 10² + 10² = c², and c would be the length of the diagonal.
100 + 100 = c²
200 = c²
in radical form, the square root of 200 would be 10√2. therefore, the length of the diagonal is 10√2 inches, which is the second option.
i hope this helps! :D
Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is
.
- The product of the two numbers is
.
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to
, thus:
Substituting that information from in
, we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.