Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:
We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:
=
Then we can divide by the coefficent of x, which is 4, to get our answer:
=
This is our answer! Hope this helps! :3
To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.
The scale factor applied to the model is 8000. 8000 times one equals 8000
To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]
V = 5 * 2 1/2 * 1 1/2
V = 12 1/2 * 1 1/2
V = 18 3/4cm³
Now that we know the volume, we can check each answer choice.
Option A:
5 ∙ 2 1/2 ∙ 1 1/2
12 1/2 * 1 1/2
18 3/4cm³
Option B:
12 1/2 ∙ 1 1/2
18 3/4cm³
Option C:
1 1/2(5 + 2 1/2)
1 1/2(7 1/2)
11 1/4cm³
Option D:
1/2(12 1/2 ∙ 1 1/2)
1/2(18 3/4)
9 3/8cm³
Therefore, the only correct options are A and B.
Best of Luck!
