Answer:
8
Step-by-step explanation:
4 ÷ 1/2
~Turn the 4 into a fraction
4/1 ÷ 1/2
~Copy Dopt Flip
4/1 * 2/1
~Multiply
8/1
~Simplify
8
Best of Luck!
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
NOTE.- just substitute values and resolve
Answer: A
golden ratio approximately equals:
(1+sqrt(5))/2=1.618
5/3=1.667
7/5=1.4
10/8=5/4=1.25
17/11=1.545
Change everything to decimal form and see what is closest.
So we can see that the photograph size of 5x3 is the best choice as it is the closest in size to the golden ratio.
Any questions at all please feel free to ask! Thank you so much!
Answer:
Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say 
, which we can rewrite in logarithmic form as 
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so 
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation using the product rule for logarithms to get the equation
And using the fact that 
and our assumption that 
, we see that 
as we wanted.
Answer:2x-5y=-15
Step-by-step explanation:
