Answer:
B. 4
Step-by-step explanation:
Cross multiply:
1x64 and 16 times x gives you 16x = 64.
Now solve for x. 16 x 4 is 64 so x is equal to 4.
Hope it helps!
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
Answer:
Simple and best practice solution for 4(-4x-6)=4(8x+4) equation.Step-by-step explanation:
Check how easy it is, and learn it for the future
Check if the equation is exact, which happens for ODEs of the form
if .
We have
so the ODE is not quite exact, but we can find an integrating factor so that
<em>is</em> exact, which would require
Notice that
is independent of <em>x</em>, and dividing this by gives an expression independent of <em>y</em>. If we assume is a function of <em>x</em> alone, then , and the partial differential equation above gives
which is separable and we can solve for easily.
So, multiply the original ODE by <em>x</em> on both sides:
Now
so the modified ODE is exact.
Now we look for a solution of the form , with differential
The solution <em>F</em> satisfies
Integrating both sides of the first equation with respect to <em>x</em> gives
Differentiating both sides with respect to <em>y</em> gives
So the solution to the ODE is