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s2008m [1.1K]
3 years ago
13

Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many m

illiliters of each solution must Theodore use
Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Step-by-step explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90

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Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one  grilled salmon be y

One a particular day the waitress sells  12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells  25 ribeye steak dinners and 13 grilled salmon dinners  totals to $582.43.This can be represented  as

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solving the equation (1) and (2)

eq(1) x 112x+39y= 575.53

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Subtracting these equation we get,

113x=1171.76

x=\frac{1171.76}{113}

x= 10.36

Now  substituting this in equation (1)

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123.84+39y=575.53

39y=575.53 - 123.84

y=\frac{451.69}{39}

y=11.581

7 0
3 years ago
Please help me idk this
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Answer:

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Step-by-step explanation:

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======================================================

Explanation:

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Note how the point (1, 0.20) is on the line to help see the slope right away. This trick only works when the line goes through the origin.

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Answer:

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