Answer:
13 bottles of soap
Step-by-step explanation:
71.5/5.5=13
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
Answer
22 WHOLE bicycles
Step by step explanation
If you divide 100.50 by 50 you get how much it cost for each bicycle which is 2.01 and when you divided 45 by 2.01 you get 22 and a bunch of random numbers but you can’t get that part of a bicycle because you are not going to cut a bicycle into pieces so you will be able to buy 22 and you will have some left over money but that doesn’t matter you can get 22 whole bicycle with 45 dollars
Well, first... you want to factor out the GCF, (Greatest Common Factor), which will end up being 8.
Then, you divide both 16a and 24b by 8.
Simplify each term, and your answer will be:
8(2a+3b)
Hope this helps. If you have any further questions, feel free to email me at (
[email protected])
Answer:
A. 
Step-by-step explanation:
A. The problems asked for 2 ways to solve it, expanding the equation with the substitution x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.
Expanding and differentiating:
We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:

So, in the path that the hiker chose:

Chain rule:
We start differentiating h(x,y) using chain rule as follows:

Now, it´s easy to find all these derivatives:
Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:




This will be our answer