Answer:
F) A=(12*12)+((6*12)/2)
Step-by-step explanation:
We can find the answer by breaking up the area into to parts: the square and the triangle
To find the area of the square we use the formula length * width or side^2
This gives us 12*12 which is shown in the first part of each equation
To find the area of the triangle, we must use the formula A= (base * hight)/2
We know the hight is 12 because the hight is the same as the hight or side length of the square, but we still need to find the length of the base of the triangle
Since we know the total length of the bottom of the combined square and triangle is 18 and we know the side length of the bottom of the square is 12 (given to us at the top side of the square and we know the side of a square are of equal length)
Using this information to find the length of only the triangle base we can say
Length of triangle base = Length of total/combined base - length of square base
Plugging in these numbers we get:
Length of triangle base = 18-12 which equals 6
So length of triangle base is 6
Going back to our equation for area of a triangle A=(base*hight)/2
We can plug in our numbers using 6 for the base and 12 for the height
A=(6*12)/2
Now we combine this with our equation for the area of the square (A= 12 * 12) to get our final answer
A= (12*12) + ((6*12)/2)
Hope this helps :)
The definition of a function is that for each input, there is only one output.
Thus, the answer to your question is A, as it is the only answer option that each input has only one output.
In answer choice B, the input -1 has outputs of both -2 and -5.
In answer choice C, the input 4 has outputs of both 3 and 0.
Finally, in answer choice D, the input -4 has outputs of both -4 and 4.
Therefore, answer A is the only function because it is the only option that follows the definition.
Hope this helps! :)
I did the math and it is 4x
Answer:
The answer to your question is Yes, he can buy it.
Step-by-step explanation:
Data
Money saved = $35
Original Price = $42
Discount = 30%
Tax = 5 %
Process
1.- Calculate the price of the Video game with the discount
$42 --------------------- 100%
x --------------------- 30%
x = (30 x 42) / 100
x = $ 12.6
Price with discount = 42 - 12.6
= $ 29.4
2.- Calculate the price of the Video game plus taxes
$29.4 ------------------- 100%
x ------------------- 5%
x = (5 x 29.4) / 100
x = 147 / 100
x = 1.47
Price plus taxes = 29.4 + 1.47
= $ 30.87
3.- Conclusion
Bruce can buy the Video game because he saved $35 and the video game plus taxes cost $30.87.
Answer:
Suppose that the batch has N liters of paint.
we know that the recipe is:
1/2 of red paint
1/3 of yellow paint
1/6 of white paint.
Then, out of the N liters, 1/2 is red.
This means that we must use:
N/2 liters of red paint.
And the same for the other two colors:
N/3 liters of yellow paint
N/6 liters of white paint.
When we add those 3, we have:
(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.
Now, if for example N = 2
Then the batch has 2 liters of paint, this would mean that we must use:
2/2 liters of red paint
2/3 liters of yellow paint
2/6 liters of white paint.
