Tenth have to make answer longer for this app sorry
3(y+10) = 3(3). For additional simplification, the answer may be written as
y+10 = 3
Answer:
For two night in the hotel, you would pay $333 (including tax)
Step-by-step explanation:
Without tax, the price for 2 nights would be $150 times 2. So the price without tax would be....
$150 x 2 = $300
But then we have to be aware of 11% tax so we would multiply the price for two nights by 1.11 and get...
$300 x 1.11 = $333
Answer:
15N + 21
Step-by-step explanation:
We are given that,
Amount of carpet bought by Peter = N meter²
The cost per meter square of the carpet = $15
So, the cost of 'N' meter square of carpet = 15N dollars.
Also, the delivery charge for the carpet = $21
Thus, the total cost of the carpet is given by,
Total cost = Cost per square meter + Delivery charge
i.e. Total cost = 15N + 21 (in dollars).
Hence, the expression representing the cost in dollars is '15N + 21'.
Answer:
± 
, 
Step-by-step explanation:
See the attached image
This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are: 
that correspond to the force of resistance on the mass by the action of the spring and 
that is an external force with unknown direction (that does not specify in the enounce).
For determinate we can use Hooke's Law given by the formula 
where 
correspond to the elastic constant of the spring and 
correspond to the relative displacement of the mass-spring system with respect of his rest state.
We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...
Now we apply Newton's 2nd Law and obtaint that...
± = 
Finally... ±
We know from the problem that there's not initial displacement and initial velocity, so... and
Finally the Initial Value Problem that models the situation describe by the problem is
