3/5 of juice is poured equally into 6 glasses. How much juice is in each glass?
2 answers:
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This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem
Step 1: Create an equation for the perimeter respect to x
The equation for the perimeter p is:
where w is the width and l is the length
The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:
This is the equation for the perimeter
Step 2: Solve for x since we are given the perimeter
We are given that the perimeter is 96, thus we can create the equation:
Subtract 6 from both sides
Divide both sides by 10
We have now found the value of x
Step 3: Find the length and width now that we know x
Plug the value of x into the expressions for the length and the width that we are given
Step 4: Solve for the area now that we know the dimensions
This is probably the easiest step. Multiply the length and width to find the area:
The area of the patio is 527.
I've double- and triple-checked that this is the correct answer, so do not worry about any errors.
Let me know if you need any clarifications, thanks!
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Answer:
x = 12
Step-by-step explanation:
Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
=
( cross- multiply )
10x = 120 ( divide both sides by 10 )
x = 12