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alexira [117]
2 years ago
6

Find the inverse of the function. f(x) = 5x - 5 f^-1(x) = _____ √

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:

16

Step-by-step explanation:

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a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con
tankabanditka [31]

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0
3 years ago
In a class of pupils, 11 play the flute and piano.
Natali5045456 [20]

Answer:

The answer is 29

Step-by-step explanation:

11+10+5+3=29

5 0
3 years ago
kevin guesses randomly on 10 true or false questions, what is the probability that he gets at least 6 correct?
asambeis [7]

Answer: 6/10

Step-by-step explanation:

8 0
2 years ago
A sample of lake water contains 150grams of salt. If 30% of the water sample is salt, find the number of grams the entire sample
hjlf

Answer:

500 grams

Step-by-step explanation:

Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:

30% * x = 150

Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:

0.30 * x = 150

Divide both sides by 0.30:

x = 500 grams

Hope this helps!

5 0
3 years ago
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
Semenov [28]

Answer:

A

Step-by-step explanation:

A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.

6 0
2 years ago
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