The differential equation y−4y^7=(y^6+6x)y′
can be written in differential form:
M(x, y)dx+N(x, y)dy=0
where
M(x, y)=
, and N(x, y)=
.

The term M(x, y)dx+N(x, y)dy becomes an exact differential if the left hand side above is divided by y^7. Integrating that new equation, the solution of the differential equation is
=C.

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Aremote-controlled boat can travel at 4 feet per second in calm water. the boat traveled 48 feet with the current, and then it traveled 16 feet against the current in the same amount of time. how fast is the current?

Plz answer asap! i will reward brainliest and 12 points for these three questions!take notice: these three questions are completely different! 1) what is the percentage of sugar in the syrup made of 10 kg of water and 4 kg of suugar? 2) what was the original price if after 10% discount it became $450? 3) at first a price was decreased by 12%, then it was disounted again by an additional 5%. what is the percent of the total discount? , and remeber i will award brainliest and 12 points!