The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
<em>Cost</em><em> of e-book = $5 each.</em>
<em>Cost of paperback = $12 each</em>
<em>Number of</em><em> e-books</em><em> = x</em>
<em>Number of paperbacks = y</em>
Therefore, the equation that can be used to model the situation regarding the <em>e-books </em>and <em>paperback</em> will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
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If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.
Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2) -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2
Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2
Area of walkway
----------------
A = 530.93 - 50.27
A = 480.66 ft2
Then the cost would be
Cost = $4.25 * 480.66
Cost = $2,042.81
To rearrange you must first simplify
aq-ac=d
add ac to each side:
aq=d+ac
then divide by a:
q=(d/a)+c and this is your answer
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial 
being divided by a factor in the form of 
, then the remainder of the polynomial is given by 
.
We have the polynomial:
And it is being divided by:
We can rewrite our factor as:
Therefore:
Then our remainder will be:
Evaluate:
So, our remainder will be 8.
