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Verdich [7]
3 years ago
5

Locksmith Larry charges $90 for a house call plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per hour.

Write a one-variable equation for the charges of locksmith Larry
Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

F(x)=90+20x

Step-by-step explanation:

Since there charging you 90 dollars as the initial value and your rate of change is 20 dollars

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Two solutions of salt water contain 0.07% and 0.23% salt respectively. A lab technician wants to make 1 liter of solution which
DerKrebs [107]

0.75 liter of 0.07 % is used and 0.25 liter of 0.23 % salt is used

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

We have to 1 liter of final solution

Let "x" be the salt solution of 0.07 %

Then, (1 - x) is the salt solution of 0.23 %

Then final solution should be 1 liter of solution which contains 0.11 % salt

Thus, 0.07 % of "x" is mixed with 0.23 % of (1 - x) to make a solution 0.11 % of 1 liter

<em><u>Thus a equation is framed as:</u></em>

0.07 % of x + 0.23 % of (1 - x) = 0.11 % of 1

0.07 \% \times x + 0.23 \% \times (1-x) = 0.11 \% \times 1\\\\\frac{0.07}{100} \times x + \frac{0.23}{100} \times (1-x) = \frac{0.11}{100} \times 1\\\\0.0007x + 0.0023(1-x) = 0.0011\\\\0.0007x + 0.0023 - 0.0023x = 0.0011\\\\-0.0016x = -0.0012\\\\x = 0.75

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