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Whitepunk [10]
2 years ago
5

Hear is a diagram showing a mixture of red paint and green paint needed for 1 batch of a particular shade of brown

Mathematics
1 answer:
Lelechka [254]2 years ago
4 0

From the diagram above

mixtures of 3 cups of red paints and 2 cups of green paints for 1 batch

this means for every one batch of brown paint

you have 3 cups of red paints and 2 cups of green paints

for three batches

3 red cups + 3 red cups + 3 red cups = 9 reds cup

2 green cups + 2 green cups + 2 green cups = 6 greens cup

to produce three batches you will need the mixture of 9 red cups of paints and 6 green cups of paint

adding to the diagram you will have 6 more red cups and 4 more green cups

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Lapatulllka [165]
\left\{\begin{array}{ccc}y \ \textgreater \  6\\y \ \textless \  2\end{array}\right\\\\\text{Look at the picture}

3 0
4 years ago
After 3/4 of a minute a sloth has moved just 3/8 of a foot. What is the sloths speed in feet per minute?
horsena [70]
So so what should we multiply 3/4 by to get one? we can multiply it by 4/3.  so we multiply 3/4 by 4/3 and multiply 3/8 by 4/3. so thats 12/24. which is the same as 1/2. so the sloth moves 1/2 of a foot a minute

8 0
3 years ago
Read 2 more answers
1. |4n-15|=|n|<br> 2. |2c+8|=|10c| <br> can you please show the work for both
Alja [10]

Problem 1

<h3>Answers: n = 3 or n = 5</h3>

---------------

Work Shown:

|4n - 15| = |n|\\\\4n - 15 = n \ \text{ or } \ 4n-15 = -n\\\\-15 = n-4n \ \text{ or } \ -15 = -n-4n\\\\-15 = -3n \ \text{ or } \ -15 = -5n\\\\-3n = -15 \ \text{ or } \ -5n = -15\\\\n = \frac{-15}{-3} \ \text{ or } \ n = \frac{-15}{-5}\\\\n = 5 \ \text{ or } \ n = 3\\\\

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

Problem 2

<h3>Answers: c = 1 or c = -2/3</h3>

-----------------------

Work Shown:

|2c+8| = |10c|\\\\2c+8 = 10c \ \text{ or } \ 2c+8 = -10c\\\\8 = 10c-2c \ \text{ or } \ 8 = -10c-2c\\\\8 = 8c \ \text{ or } \ 8 = -12c\\\\8c = 8 \ \text{ or } \ -12c = 8\\\\c = \frac{8}{8} \ \text{ or } \ c = \frac{8}{-12}\\\\c = 1 \ \text{ or } \ c = -\frac{2}{3}

8 0
3 years ago
8x+7/6 + 3-2x/4-5x-2/2=32<br> Find x
ipn [44]
<span>(8x+7)/6 + (3-2x)/4-(5x-2)/2=32
2(8x+7) + 3(3-2x) - 6(5x-2) = 384
16x + 14 + 9 - 6x - 30x + 12 = 384
-20x + 35 = 384
-20x = 349
     x = -17.45

</span>
7 0
3 years ago
Read 2 more answers
Please help me
Hitman42 [59]

By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equivalent to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}.

<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>

In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:

\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}       Given.

\frac{1 + \sin x - 1 + \sin x}{1 - \sin^{2}x}      Subtraction between fractions with different denominator / (- 1) · a = - a.

\frac{2\cdot \sin x}{\cos^{2}x}      Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)

\frac{2\cdot \tan x}{\cos x}      Definition of tangent / Result

By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equal to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}. Hence, the former expression is equivalent to the latter one.

To learn more on trigonometric equations: brainly.com/question/10083069

#SPJ1

4 0
2 years ago
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