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DiKsa [7]
3 years ago
7

Stuck with a current word problem

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.

<u>SOLUTION: </u>

First, I will set up my table. I will fill in the unknowns with variables x and y.

The table is attached below

From the table attached below, we can easily set up the two equations.  

<em>Sum of values of two milks = Value of mixture  </em>

0.05x + 0.01y = 3  

For convenience, we'll multiply the entire equation by 100,

5 x + y = 300 ------> (1)  

Now, Sum of amounts of each acid = Amount of mixture  

x + y = 100 ---------> (2)

Subtracting equation (2) from (1),  

( + ) 5 x + y = 300

( − ) x -  y = 100

− − − − − − − −

( = ) 4x + 0y = 200  

Thus, 4x = 200  

x = 50

Substituting x = 50 in (2),

( 50 ) + y = 100  

y  = 100 – 50 = 50  

hence, 50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.

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Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

<em><u>Solution:</u></em>

Given that, We have to find the slope of line passing through two points

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From given,

(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)

<em><u>Substituting the values we get,</u></em>

m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}

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Answer:

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Step-by-step explanation:

We know a speed is a measure of distance over time:  speed = dist / time

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So, we only need to modify the formula a bit: dist = speed * time

We don't know the time (which will be a variable), but we know their speed.  So, the formula becomes:

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Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).

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