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Sergio [31]
3 years ago
11

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of

synthetic oil. If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Mathematics
1 answer:
Svetach [21]3 years ago
5 0
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.

What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L

Now, add both synthetic oil and natural oil to find amount of petrolyn oil.

355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
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Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

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Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

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