Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- <em>Separate the constant terms from the x by subtracting 25 from both sides.</em>
15x=100
15x/15=100/15 --<em> Isolate the x variable by dividing 15 from both sides.</em>
x=6.6.. <em>-- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15. </em>
x=6 Hours
Let's build the equation counting how many x's and 1's are there on each side.
On the left hand side we have 5x's and 8 1's, for a total of 
On the left hand side we have 3x's and 10 1's, for a total of 
So, the equation we want to solve is
Subtract 3x from both sides:
Subtract 8 from both sides:
Divide both sides by 2:
The general term of an arithmetic sequence is,
Where , 
= nth term.
= First term
and d = common difference.
The given sequence is: 57, 66, 75, 84, 93, ...
Here = 57,
d = 66 - 57 = 9
We need to find the 250th term. So, n = 250.
Next step is to plug in these values in the above formula. Therefore,
= 57 + 249 * 9
= 57 + 2241
= 2298
Therefore, 250th of this sequence is 2298
Hope this helps you!
a + b = 88 <span>
<span>
</span><span>ab = y
</span><span>
</span><span>a = 88 - b
</span><span>
</span><span>y = (88 - b)*b
</span>
<span>y = -b^2 + 88b
</span><span>
</span><span>Take the derivative and set equal to 0
</span><span>
</span><span>y' = -2b + 88 = 0
</span><span>
</span><span>2b = 88
</span>
<span>b = 44 </span></span>
<span><span>a=44</span></span>
<span><span> both numbers are 44</span></span>
Given : Kishore bought a basket containing 30 oranges for rs 310. If he sells the oranges at rs 12 each , what Would be it's profit or loss?
Solution :
Cost price of oranges = rs.310
As we know that each oranges cost rs.12
So, selling price of oranges is 30 × 12 = rs.360
Now, <u>finding profit or loss</u>
Profit = Selling Price - Cost Price
Profit = rs.360 - rs.310
Profit = rs.50
