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Tcecarenko [31]
3 years ago
7

Audrey makes a certain shade of blue paint. She uses 3 1/2 quarts of blue paint with 5 quarts of white paint. Her cousin Evan wi

ll do the same. He will mix w quarts of white paint with b quarts of blue paint. Which of these equations represents the relationship between w and b ?
Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

b = 0.7w

Step-by-step explanation:

To make a shade of blue paint :

3 1/2 quarts of blue

5 quarts of white

3 1/2 α 5

7/2 = 5k

Where k is the proportionality constant

k = 7/2 ÷ 5

k = 7/2 * 1/5

k = 7/10

k = 0.7

To mix :

b quartz of blue with w quartz of white

b = kw

b = 0.7w

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The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is
Gelneren [198K]

Answer:

10

Step-by-step explanation:

5 · (3r - 10)

If r = 4, this expression becomes 5 · (3[4] - 10), or 60 - 50, or 10.

8 0
3 years ago
Read 2 more answers
Simplify radicals problems attached please help!
Finger [1]

Answer:

  G7.  (2√3)/3

  G8.  -2+√7

  G9.  (6 +2√2 -3√3 -√6)/7

Step-by-step explanation:

G7.

\dfrac{2}{\sqrt{3}}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{2\sqrt{3}}{3}

__

G8.

\dfrac{3}{2 +\sqrt{7}}=\dfrac{3}{2+\sqrt{7}}\cdot\dfrac{2-\sqrt{7}}{2-\sqrt{7}}=\dfrac{6-3\sqrt{7}}{2^2-(\sqrt{7})^2}\\\\=\dfrac{6-3\sqrt{7}}{-3}=\sqrt{7}-2

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G9.

\dfrac{2-\sqrt{3}}{3-\sqrt{2}}=\dfrac{2-\sqrt{3}}{3-\sqrt{2}}\cdot\dfrac{3+\sqrt{2}}{3+\sqrt{2}}=\dfrac{(2-\sqrt{3})(3+\sqrt{2})}{9-2}\\\\=\dfrac{6+2\sqrt{2}-3\sqrt{3}-\sqrt{6}}{7}

_____

<em>Comment on the problems</em>

In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).

The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.

8 0
3 years ago
At a concert 30% of the audience were tennnagers. If there was a total of 1600 audience members, how many of the audience were n
Misha Larkins [42]

Answer:

Not teenagers = 1120

Step-by-step explanation:

Total number of audience members = 1600

30% of the audience were teenagers.

It means 70% of the audience were not teenagers. It can be given by :

x = 70% of 1600

x=\dfrac{70}{100}\times 1600\\\\x=1120

Hence, 1120 audiences were not teenagers.

5 0
3 years ago
Please help me with this questions
viktelen [127]

Answer:

See attached

Step-by-step explanation:

The answers added on the picture

8 0
3 years ago
Ramu and ravi borrowed rs 8000​
Phoenix [80]

Answer: Rs. 11,520

Step-by-step explanation:

As the method of compounding is not stated, the default of simple interest will be used.

Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.

Formula is:

Amount owed = Amount borrowed * ( 1 + rate * time)

= 8,000 * ( 1 + 8% * 5.5 years)

= 8,000 * 1.44

= rs 11,520

4 0
3 years ago
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